8th Grade Topic 6 Review

6-1, Question 1

• (0.5, 2), (3.5, 2), (5, -3), (-1, -3)

• (3.5, 4), (6.5, 4), (8, -1), (-2, -1)

• (3.5, 0), (6.5, 0), (8, -5), (-2, -5)

• (-2.5, 4), (0.5, 4), (2, -1), (-4, -1)

6-2, Question 1: What are the coordinates of the image of rectangle WXYZ after a reflection across the x-axis?

• W' (-4, -2), X' (-1, -2), Y' (-1, -4), Z' (-4, -4)

• W' (-4, 2), X' (-1, 2), Y' (-1, 4), Z' (-4, 4)

• W' (4, -2), X' (1, -2), Y' (1, -4), Z' (4, -4)

• W' (4, 2), X' (1, 2), Y' (1, 4), Z' (4, 4)

6-2, Question 2: What are the coordinates of the image of WXYZ after a reflection across the y-axis?

• W' (-4, -2), X' (-1, -2), Y' (-1, -4), Z' (-4, -4)

• W' (-4, 2), X' (-1, 2), Y' (-1, 4), Z' (-4, 4)

• W' (4, -2), X' (1, -2), Y' (1, -4), Z' (4, -4)

• W' (4, 2), X' (1, 2), Y' (1, 4), Z' (4, 4)

6-3, Question 1: What are the coordinates of the image of quadrilateral STUV after a 180° rotation about the origin?

• S' (-4, -2), T' (-2, -2), U' (-2, -4), V' (-4, -4)

• S' (-2, 4), T' (-2, 2), U' (-4, 2), V' (-4, 4)

• S' (2, -4), T' (2, -2), U' (4, -2), V' (4, -4)

• S' (4, 2), T' (2, 2), U' (2, 4), V' (4, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

6-3, Question 2: What are the coordinates of the image of quadrilateral STUV after a 270° rotation about the origin?

• S' (-4, -2), T' (-2, -2), U' (-2, -4), V' (-4, -4)

• S' (-2, 4), T' (-2, 2), U' (-4, 2), V' (-4, 4)

• S' (2, -4), T' (2, -2), U' (4, -2), V' (4, -4)

• S' (4, 2), T' (2, 2), U' (2, 4), V' (4, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

6-4, Question 1: Translate rectangle ABCD 5 units down, and then reflect it across the y-axis.

What are the coordinates of the image?

• A' (5, -1), B' (1, -1), C' (1, -3), D' (5, -3)

• A' (-5, -1), B' (-1, -1), C' (-1, -3), D' (-5, -3)

• A' (-5, 1), B' (-1, 1), C' (-1, 3), D' (-5, 3)

• There is no way of knowing.

6-5, Question 1

• Yes

• No

Tags

CCSS.8.G.A.2

6-6, Question 1: What are the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 3?

• $A'\left(-4,\ 1\right),\ B'\left(0,\ 1\right),\ C'\left(1,\ -1\right),\ D'\left(-3,\ -1\right)$

• $A'\left(-1\frac{1}{3},\ \frac{1}{3}\right),\ B'\left(0,\ \frac{1}{3}\right),\ C'\left(\frac{1}{3},\ -\frac{1}{3}\right),\ D'\left(-1,\ -\frac{1}{3}\right)$

• $A'\left(12,\ -3\right),\ B'\left(0,\ -3\right),\ C'\left(-3,\ 3\right),\ D'\left(9,\ 3\right)$

• $A'\left(-12,\ 3\right),\ B'\left(0,\ 3\right),\ C'\left(3,\ -3\right),\ D'\left(-9,\ -3\right)$

Tags

CCSS.8.G.A.3

6-6, Question 2: What are the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of  $\frac{1}{2}$  ?

• $A'\left(-4,\ 1\right),\ B'\left(0,\ 1\right),\ C'\left(1,\ -1\right),\ D'\left(-3,\ -1\right)$

•  $A'\left(-8,\ 2\right),\ B'\left(0,\ 2\right),\ C'\left(2,\ -2\right),\ D'\left(-6,\ -2\right)$ 

•  $A'\left(-2,\ \frac{1}{2}\right),\ B'\left(0,\ \frac{1}{2}\right),\ C'\left(\frac{1}{2},\ -\frac{1}{2}\right),\ D'\left(-1\frac{1}{2},-\frac{1}{2}\right)$ 

•  $A'\left(2,\ -\frac{1}{2}\right),\ B'\left(0,\ -\frac{1}{2}\right),\ C'\left(-\frac{1}{2},\ \frac{1}{2}\right),\ D'\left(1\frac{1}{2},\frac{1}{2}\right)$  

Tags

CCSS.8.G.A.3

6-7, Question 1: Is △ABC similar to △A′B′C′? Explain.

• Yes, they are similar

• No, they are congruent

• No, they are neither similar nor congruent

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6