Transformations in Geometry – Translations and Reflections Practice Test

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• What is the output of reflecting the point (-6, 3) across the y-axis?
• Apply a reflection across the line y = 0 to P(3,4), then translate by (-2,5). What is P'?
• If E is (0, 5), what are the coordinates of E' after reflecting E across the line y = x?
• What is the relationship between the slopes of two perpendicular lines?
• What does it mean for triangles to be congruent?
• What was the original location of point C before that sequence of reflections?
• If A maps to A' by a translation, and A(2,7) maps to A'(9,7), what is the translation vector?
• If P is (-4, 6), what are the coordinates of P' after reflecting P across the x-axis?
• What is the image of S(2, -5) under reflection across y = x?
• What is the first transformation applied to triangle ABC to create triangle A'B'C'?
• If B is (-5, -1), what are the coordinates of B' after reflecting B across the y-axis?
• If a triangle is translated, what happens to its side lengths?
• What is the image of T(3,4) under reflection across y = -x?
• How does a transformation affect the shape of a figure?
• In a translation, A(0,0) maps to A'(5,7) and B(1,2) maps to B'(6,9). What is the translation vector?
• What is a rigid motion?
• Which description best explains how to reflect a point across a diagonal line (for example y = x)?
• If Q is (-2, 3), what are the coordinates of Q' after reflecting Q across the x-axis?
• What is the output of reflecting the point (-4, 5) across the line y = x?
• What does the translation rule (x, y) → (x, y − 3) indicate?
• What is the effect of rigid motion transformations on a figure?
• What does A→A' represent?
• Reflect P(5, 3) across the vertical line x = 2. What is P'?
• Which of the following is the coordinates of a point after reflection across the y-axis for a point with coordinates (x, y)?
• If A is (-5, -3) and is reflected across the x-axis, what is A'?
• If point P(2,5) maps to P'(-2,5) under a reflection, what is the line of reflection?
• If A'B' is the image of AB under a translation, which statements are true about AB and A'B'?
• If AB is 5 units long, what is AB' length after translating both endpoints by vector (3, -2)?
• Which transformation flips a figure to produce a mirror image across a line?
• Reflect P(2,5) across the horizontal line y = 3. What are the coordinates of P'?
• What is the reflection rule across the y-axis?
• If P(1,0) maps to P'(4,3) by reflection, what is the line of reflection?
• Which statement about rigid motions is true?
• What indicates the mapping of points during a transformation?
• Translate P(0,0) by (2,3), then reflect across the x-axis. What is P'?
• Which translation vector corresponds to the rule (x, y) → (x − 1, y + 6)?
• Reflection across the line y = -x maps P(3,1) to P'(-1,-3). Which of the following is P'?
• What is a translation in geometry?
• If a point is translated by vector (−4, 3), where does (6, −2) go?
• What is the output of reflecting the point (-4, 5) across the x-axis?
• What is the final location of point C after a sequence of reflections about the x-axis, y-axis, and the line y = x?
• If P is (2, -3) and is reflected across the line y = x, P' equals which of the following?
• Which line is the line of reflection for a reflection mapping a point P(3,3) to P'(-3,3)?
• If a point is at (4, −2) and is reflected across the y-axis, what is the image?
• What is the image of R(-6, 3) under reflection across the y-axis?
• What is the image of the point (3, -4) across the line y = x?
• Reflect P(4,-3) across the line y = -2. What is P'?
• If A is (-4, 3) and is reflected across the line y = x, what is A'?
• Do reflections preserve orientation?
• What is the importance of using the same translation rule for all corresponding points?
• Find the line of reflection if P(5,7) maps to P'(-1,7).
• What is the image of the point (3, -5) across the y-axis?
• If J is (-6, 2), what are the coordinates of J' after reflecting J across the y-axis?
• What is the image of (2, 7) after reflecting across the line y = x?
• The line of reflection for mapping P(1,2) to P'(4,0) has what slope?
• Convert 6x + 2y = 14 to slope-intercept form. What is y in terms of x?
• Reflect a point across the line y = x; which coordinates describe its image for a point (x, y)?
• What does it mean for points to be collinear?
• What is the image of Q(4,-2) under reflection across y = -x?
• Reflect P(3, -4) across the line y = -x. What is P'?
• If P(2,7) is reflected across the line y = x, P' is (7,2). Which option represents P'?
• Reflect P(-5, 2) across the y-axis. What is P'?
• If P(0,0) and P'(2,0) are images under a reflection, what is the line of reflection?
• A triangle is translated 5 units right and 3 units up. What is preserved?
• Reflect P(0, 0) across the x-axis. What is P'?
• When a figure is reflected across the x-axis, which statement is true?
• If a point (2, 3) is reflected across the line y = x, what is its image?
• What is the reflection rule for a point across the y-axis?
• What do congruent line segments indicate in a reflection?
• A point Q(5,-3) is reflected across the x-axis. What is Q'?
• If a figure is translated by vector (3, -2), what happens?
• If a figure is reflected across the y-axis, what happens to the x-coordinates of all its points?
• Which property distinguishes a reflection from a translation?
• Reflect P(x, y) across the vertical line x = a. What are P'?
• What happens to the orientation of a figure when it is reflected?
• What is the image of J(−3, 6) after reflecting across the line y = x?
• What is the image of K(−1, 3) after reflecting across the line y = x?
• What is the midpoint of two points (x1, y1) and (x2, y2)?
• Translate P(1, 2) by vector (-3, 5). What is P'?
• In a reflection across a vertical line, which statement is true?
• If a triangle ABC is reflected across its base AB, what happens to A and B?
• Do the translation T by vector (3,0) and the reflection R across the y-axis commute for the point P(1,2)?
• What is the output of reflecting the point (-2, 3) across the y-axis?
• What is the rule for reflecting a point across a horizontal line?
• What is the image of (6, −9) after reflecting across the x-axis?
• What are the four types of transformations studied?
• What is the midpoint of (0, 0) and (2, 8)?
• What is the original figure called before a transformation?
• If A(0, 0) and B(2, 3) are translated by vector (-1, 4), what are A' and B'?
• A point R(0,7) is translated by vector (-5,-2). What is R'?
• What is the image of (2, -5) after reflecting across the line y = x?
• If a point is (4, -9), what is its image after reflecting across the y-axis?
• A triangle with vertices A(0,0), B(1,0), C(0,1) is translated by (3,2). What are A', B', C'?
• A point P(-2,4) is reflected across the line y = x. What is P'?
• Which translation rule maps triangle A1B1C1 to triangle A'B'C'?
• Which statement about a reflection is true?
• Under a translation, which properties remain unchanged?
• If you apply a translation and then a reflection across the x-axis, does the order of operations matter?
• Which transformation changes the size of a figure but preserves its shape?
• What is the slope of a line perpendicular to y = -2x + 5?
• What is the output of reflecting the point (-3, 1) across the x-axis?
• Translations preserve which of the following?
• If P is reflected across line L to P', what is the relation of L to the segment PP'?
• Under a translation by vector (5,7), what is the image of B(1,2)?
• How can you determine the line of reflection that maps one image to another?
• What does the translation rule (x, y) → (x + 1, y − 2) signify?
• What transformation is equivalent to reflecting across the x-axis followed by reflecting across the y-axis?
• If A is (7, -4), what are the coordinates of A' after reflecting A across the x-axis?
• What is the reflection rule for a point across the line y = x?
• If a point (-2, 1) is reflected across the line y = x - 1, which construction describes the image?
• If G is at (4, −6), what is G' after reflecting G across the y-axis?
• What type of transformation is the identity transformation?
• Which statement correctly describes the distance from a point to the line of reflection after reflection?
• If a point lies on the line of reflection, what is its image after reflection?
• What is the image in a transformation?
• What is the slope of a line perpendicular to the line y = x - 1?
• What is the significance of prime notation (e.g., A') in transformations?
• What happens to the y-coordinates when reflecting across the x-axis?
• Translate P(2, -5) by vector (4, 3). What is P'?
• When reflecting a point across the y-axis, what happens to the coordinates (x, y)?
• How can a translation be expressed on the coordinate plane?
• If you reflect the point (2, -6) across the line y = x, what are the coordinates of the image?
• If D is (2, 8), what are the coordinates of D' after reflecting D across the line y = x?
• What is a transformation in mathematics?
• Do reflections preserve distance?
• If a point is (5, -3), what is its image after reflection across the x-axis?
• If P(0,5) maps to P'(5,0) under reflection, what is the line of reflection?
• What is the new figure called after a transformation?
• Which statement correctly describes the effect of a reflection on a figure's orientation?
• Which statement about the slope-intercept form is true?
• What is the rule for reflecting a point across the y-axis?
• What is the image of I(−6, 6) after reflecting across the line y = x?
• What is the standard form of a line?
• Translate P(x, y) by vector (a, b). What are the coordinates of the image P'?
• If P is (3,-5), what is its image after reflecting across the line y = x?
• Which statement describes the reflection across the line y = -2?
• What is the output of reflecting the point (-6, 3) across the line y = 1?
• Reflect P(4, -2) across the line y = -x. What is P'?
• What is the rule for reflecting a point across a vertical line?
• What is the slope-intercept form of a straight line?
• Translate P(5,-2) by the vector (-5,2). What is P'?
• If a point P is translated by the zero vector, what is P'?
• What is the output of reflecting the point (-5, 1) across the line y = 1?
• Reflect P(3, -4) across the x-axis. What is P'?
• Reflect P(-2,5) across the line x = -1. What is P'?
• What is the image of (−9, 4) under reflection across the line y = x?
• When a point is reflected across a vertical line, what happens to its coordinates?
• What is the image of Q(-3,7) under reflection across y = x?
• From 3x + 4y = 12, which is the slope-intercept form y = mx + b?
• Which statement describes the process to construct the reflection of a point across a line?
• What is the image of P(1,2) under reflection across the line y = x?
• A triangle is translated by vector (4,-6). Which properties are preserved?
• Apply a translation by vector (3,-1) to P(1,2), then reflect across the x-axis. What is P'?
• What happens to side lengths and angle measures during a reflection?
• What is the rule for reflecting a point across the x-axis?
• A point Q(6,0) is translated by (-3,4) and then reflected across the y-axis. What is Q'?
• If R is (3, 3), what are the coordinates of R' after reflecting R across the x-axis?
• If L is (-2, 0), what are the coordinates of L' after reflecting L across the y-axis?
• Which statement describes the relationship of side lengths after a reflection?
• What is a translation in mathematics?
• If a dilation, which changes size but preserves shape, is applied to a figure, what changes?
• If P(0,0) maps to P'(2,0) by reflection, which line is the reflection line?
• What is the image of P = (-2, 7) after reflecting across the x-axis?
• Reflect P(3,4) across the vertical line x = 5. What is P'?
• A point P(1,2) maps to P'(4,0) under reflection across line L. Find L.
• Apply a reflection across the y-axis to A(-2,5) and then translate by (3,1). What is A'?
• If F is (2, 3), what are the coordinates of F' after reflecting F across the line y = x?
• In a reflection across a line L, what is the relation between the distances from P to L and from P' to L?
• Which statement best describes a reflection in geometry?
• Which statement correctly describes the line of reflection in relation to a point and its image?
• What is the image of reflecting the point (5, -8) across the y-axis?
• What is the reflection rule across the x-axis?
• If a point P lies at distance d from line L, what is the distance from P' to L after reflection?
• Which translation yields a fixed figure?
• What is the image of reflecting the point (0, 7) across the x-axis?
• If C is (-2, 7), what are the coordinates of C' after reflecting C across the line y = x?
• If a point P at (2, 5) is reflected across the horizontal line y = 3, where is P'?
• If a translation moves every point 4 units to the left and 2 units up, which rule expresses this?
• If P(3,1) maps to P'(-1,1) by reflection, what is the line of reflection?
• What is the mathematical representation of a translation from Δ ABC to Δ A'B'C'?
• How do you find the line of reflection between two points?
• How do you determine the translation rule between two figures?
• During a reflection, what happens to the size and shape of the figure?
• What is the image of the point (0, 0) after reflecting across the x-axis?
• If a figure is reflected across the x-axis, what happens to the y-coordinates of all its points?
• If a point P has coordinates (x, y), what are the coordinates of its image after reflection across the x-axis?
• What is a vector in geometry?
• If K is (-3, 2), what are the coordinates of K' after reflecting K across the y-axis?
• Do translations preserve orientation and distances?
• If A(1,2) and B(4,6) map to A'(1,-2) and B'(4,-6) by reflection across the x-axis, which statement about AB and A'B' is true?
• If C(-6,2) maps to C'(-1,2) by a translation only, what is the vector?
• What is the image of P = (-2, 7) after reflecting across the y-axis?
• Which of the following best describes a translation?
• What is the pre-image in a transformation?
• A(0,0) and A'(4,0) are images of a reflection. What is the line of reflection?
• What is the image of (4, 5) after reflecting across the line y = 1?
• Which statement best describes the general concept of reflection in geometry?
• P(1,2) and P'(4,5) are images of a reflection. Find the line of reflection.
• If Q is (0, -3), what are the coordinates of Q' after reflecting Q across the x-axis?
• Convert the equation y = -4x + 7 to standard form Ax + By = C.
• Which statement is true about a dilation?
• A square with side length s is translated. How does its side length change?
• Given a point (5, -2). If reflected across the x-axis, what is the image?
• Reflect P(3, -4) across the line y = x. What is P'?
• Convert the equation y = 2x + 5 to standard form Ax + By = C.
• What is the reflection rule for a point across the x-axis?
• Which statement is always true after a reflection?
• Reflect P(7,-3) across the line y = 5. What is P'?
• When reflecting a point across the line y = 1, what happens to a point located above the line?
• After translating then reflecting, are distances between corresponding points preserved?
• To convert point-slope form y - y1 = m(x - x1) to slope-intercept form, which step is necessary?
• Which describes the effect of reflecting a figure across the line y = x?
• Which statement is always true about any reflection across a line?
• Which is the rule for reflecting a point across the line y = x?
• If A is (-5, -3) and is reflected across the y-axis, what is A'?
• How are the x-coordinates affected when reflecting across the x-axis?
• If P(6,-2) maps to P'(-2,-2) by reflection, what is the line of reflection?
• Reflect P(6, 1) across the line y = x. What is P'?
• If the translation rule moves right 1 and down 2, what is the image of (-2, 3)?
• What is the image of L(−8, 3) after reflecting across the line y = x?
• What is the reflection rule for a point across the line y = -2?
• Reflect P(3,-4) across the y-axis. What is P'?
• What is the reflection rule across the line y = x?
• What is the effect of reflecting a figure across both the x-axis and the y-axis?
• In a reflection, what is true about the distance from the line of reflection for the original point and its image?