The graph below shows two congruent triangles, ABC and A'B'C'. Which rigid motion would map △ABC onto △A'B'C'?

• a rotation of 90 degrees counterclockwise about the origin

• a translation of three units to the left and three units up

• a rotation of 180 degrees about the origin

• a reflection over the line y = x

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

On the set of axes below, triangle ABC is graphed. Triangles A'B'C' and A''B''C'', the images of triangle ABC, are graphed after a sequence of rigid motions. Identify which sequence of rigid motions maps △ABC onto △A'B'C' and then maps △A'B'C' onto △A''B''C''.

• a rotation followed by another rotation

• a translation followed by a reflection

• a reflection followed by a translation

• a reflection followed by a rotation

Tags

CCSS.8.G.A.3

A rhombus is graphed on the set of axes below. Which transformation would carry the rhombus onto itself?

• 180° rotation counterclockwise about the origin

• reflection over the line y = 1/2x + 1

• reflection over the line y = 0

• reflection over the line x = 0

Tags

CCSS.HSG.CO.A.3

Given line segment MN shown below, with M(-6, 1) and N(3, -5) , what is an equation of the line that passes through point P(6, 1) and is parallel to MN?

• A. y = -2/3x + 5

• B. y = -2/3x - 3

• C. y = 3/2x + 7

• D. y =3/2x - 8

What is an equation of a line that is perpendicular to the line whose equation is 2y = 3x - 10 and passes through (-6, 1)?

• A. y = -3/2x - 5

• B. y = -2/3x - 3

• C. y = 3/2x + 1

• D. y = 3/2x + 10

Which equation represents a line parallel to the line whose equation is -2x + 3y = -4 and passes through the point (1, 3)?

• A. y - 3 = 2/3(x - 1)

• B. y - 3 = 3/2(x - 1)

• C. y + 3 = -2/3(x + 1)

• D. y + 3 = 3/2(x + 1)

In the diagram below, lines ℓ, m, n, and p intersect line r. Which statement is true?

• ℓ ∥ n

• ℓ ∥ p

• m ∥ p

• m ∥ n

Tags

CCSS.8.G.A.5

As shown in the diagram below, line segment ABC || Line segment EFG and BF is congruent to EF. If m<CBF = 42.5, then m<EBF is

• 42.5°

• 68.75°

• 95°

• 137.5°

Tags

CCSS.HSG.CO.C.11

In the diagram below, FAD||EHC, and ABH and BC are drawn. If m< FAB = 48 and m< ECB = 18, what is m< ABC ?

• 18°

• 48°

• 66°

• 114°

Tags

CCSS.8.G.A.5

In the diagram below, m< BDC = 100, m<A = 50, and m< DBC = 30. Which statement is true?

• triangle ABD is obtuse.

• triangle ABC is isosceles.

• m<angle ABD = 80

• triangle ABD is scalene.

Tags

CCSS.HSG.CO.C.10