Transformation Study Guide

Triangle LMN was created by translating a triangle 4 units down and 2 units to the right. What were the coordinates of the original triangle, triangle LMN?

• L(-3, -3), M(-4, -7), N(-1, -7)

• L(-3, 5), M(-4, 1), N(-1, 1)

• L(-7, 5), M(-8, 1), N(-5, 1)

• L(-9, 3), M(-10, -1), N(-7, -1)

Tags

CCSS.HSG.CO.A.2

ΔQRS has vertices Q(3, 4), R(0, -3), and S(6, -2). Determine the coordinates of the vertices of ΔQ'R'S', the reflection of ΔQRS over the x-axis.

• Q' (3, -4), R' (0, 3), S' (6, 2)

• Q' (-3, 4), R' (0, -3), S' (-6, -2)

• Q' (3, -4), R' (0, -11), S' (6, -10)

• Q' (3, 10), R' (0, 3), S' (6, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of these statements is true about the two triangles graphed below?

• They are congruent, because one can be obtained by reflecting the other across the x-axis.

• They are congruent, because one can be obtained by reflecting the other across the y-axis.

• They are not congruent, because one can be obtained by reflecting the other across the x-axis.

• They are not congruent, because one can be obtained by reflecting the other across the y-axis.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?

• No, because even though their side lengths are the same, their internal angles are different.

• No, because both their internal angles and their side lengths are different.

• Yes, because even though their side lengths are different, their internal angles are the same.

• Yes, because both their side lengths and their internal angles are the same.

Tags

CCSS.8.G.A.3

Which transformation performed on Triangle PQR will create an image Triangle P'Q'R' contained entirely in Quadrant II?

• a counter-clockwise rotation of 90 degrees about the origin

• a reflection over the x-axis

• a reflection over the y-axis

• a translation of 2 units to the left

Tags

CCSS.HSG.CO.A.2

If Triangle QRS is rotated 180 degrees about the origin, what are the coordinates of point S', the image of point S?

• (1, 6)

• (1, -6)

• (-1, 6)

• (-1, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Look at quadrilateral ABCD on the coordinate plane. If quadrilateral ABCD is rotated 90 degrees clockwise about the origin, what are the coordinates of point B', the image of point B?

• (-3, -2)

• (0, 1)

• (2, 3)

• (3, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation shows that figures 1 and 2 are similar?

• a dilation of figure 1 with scale factor 1.5, centered at (0,2)

• a dilation of figure 1 with scale factor 1.5, centered at the origin

• a dilation of figure 1 with scale factor 0.5, centered at (0,2)

• a dilation of figure 1 with scale factor 0.5, centered at the origin

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Marcy transformed figure 1 to obtain figure 2, then she transformed figure 2 to obtain figure 3. Which transformations can be the ones Marcy used?

• a reflection across the y-axis and then a reflection across the x-axis

• a rotation 90° clockwise and then a translation left

• a translation left and then a translation down

• a translation left and then a reflection across the x-axis

Tags

CCSS.8.G.A.3

In the figure shown, rectangle 1 is congruent to rectangle 2. Which statement describes the sequence of the congruence of the two figures shown?

• A translation of a plane figure results in an image with corresponding angles and sides that are unequal in measure to the original figure.

• A rotation of a plane figure results in an image with corresponding angles and sides that are unequal in measure to the original figure.

• A rotation of a plane figure results in an image with corresponding angles and sides that are equal in measure to the original figure.

• A translation of a plane figure results in an image with corresponding angles and sides that are equal in measure to the original figure.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6