8th Grade Module 2 Review

Quadrilateral EFGH is dilated with a center at (0, 0) to produce quadrilateral QRST. Which rule represents the dilation?

• (x, y) → (x - 4, y - 4)

• (x, y) → (1/3x, 1/3y)

• (x, y) → (x + 4, y + 4)

• (x, y) → (3x, 3y)

Tags

CCSS.HSG.CO.A.2

Triangle ABC is reflected across the x-axis on a coordinate plane and then dilated by a scale factor of 1/2 centered at (0, 0) to produce triangle QRS. What is true about the triangles? Select all the true statements.

• Triangle QRS has the smallest area.

• The triangles are similar but not congruent.

• The triangles are similar and congruent.

• The area of the triangles is the same.

• Triangle QRS has the largest area.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Trapezoid QRST is a reduction of trapezoid JKLM. What is the measure of angle STQ?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Rectangle CDEF has vertices C(−10, 10), D(5, 10), E(5, 5), and F(−10, 5). It is dilated by a scale factor of 1/5 centered at (0, 0) to produce rectangle C'D'E'F'. What is the perimeter in units of rectangle C'D'E'F'?

• 3

• 8

• 12

• 15

Tags

CCSS.8.G.A.3

What is true about the 3 triangles in the table compared to the original triangle?

• All triangles are similar to the original

• No triangles are similar to the original

• Some triangles are similar to the original

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Dilate the given preimage of the triangle graphed below by a scale factor of 4 centered at (0, 0). What is the new coordinate of point A if the original coordinate is (1, 2)?

• (4, 8)

• (2, 4)

• (8, 16)

• (0, 0)

Tags

CCSS.8.G.A.3

Triangle RST is reflected across a vertical line and then dilated to produce triangle LMN. Choose the answers to correctly complete the sentences. Triangle LMN is an enlargement / a reduction of triangle RST. The scale factor of the dilation is 0.25 / 0.5 / 2 / 4.

• 2

• 0.5

• Reduction

• 0.25

• Enlargement

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Triangle ABC has vertices A(2, 4), B(0, –4), and C(–2, –2). It is dilated with a center at (0, 0) to produce triangle A'B'C' with vertices A'(12, 24), B'(0, –24), and C'(–12, –12). What is the scale factor of the dilation?

• 3

• 4

• 5

• 6

Tags

CCSS.8.G.A.3

Triangle ABC is similar to triangle XYZ. Which sequence of transformations maps triangle ABC onto triangle XYZ?

• A dilation and then a vertical translation

• A vertical translation and then a clockwise rotation

• A reflection across a vertical line and then a dilation

• A clockwise rotation and then a reflection across a vertical line

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Quadrilateral HIJK has vertices H(–1, 3), I(2, 3), J(2, –1), and K(–3, –1). It is dilated by a scale factor of 7 with a center of dilation at (0, 0). What are the coordinates of the image H'I'J'K'?

• H'(–7, 21), I'(14, 21), J'(14, –7), K'(–21, –7)

• H'(–7, 3), I'(14, 3), J'(14, –1), K'(–21, –1)

• H'(–1, 21), I'(2, 21), J'(2, –7), K'(–3, –7)

• H'(–7, 3), I'(2, 3), J'(2, –7), K'(–3, –7)

Tags

CCSS.8.G.A.3