Unit 2 • Unit Assessment Form A

The figure shows two lines cut by a transversal. What value of x shows that the lines are parallel?

• x = 14

• x = 24

• x = 26

• x = 28

Tags

CCSS.8.G.A.5

Veronica performs a dilation on figure A. She uses a scale factor of 3 with a center of dilation at the origin. She says the coordinates of the image of point X are (3, 12). What mistake may Veronica have made, and what are the correct coordinates of the image?

• She have added 3 to the x coordinate, instead of multiplying by 3. The correct coordinates are (0, 12)

• She multiplied only the x-coordinate by 3; the correct coordinates are (9, 4).

• She multiplied both coordinates by 3; the correct coordinates are (9, 36).

• She did not multiply both coordinates by 3; the correct coordinates are (3x, 3y).

Tags

CCSS.8.G.A.3

△ABC is rotated 90° clockwise around the origin to form △A′B′C′. Then △A′B′C′ is dilated using a scale factor of 3/2 with a center of dilation at vertex A′ to form △A″B″C″. What are the coordinates of △A″B″C″? Show your work.

• The coordinates of △A″B″C″ are: A″(1, 2), B″(1, -1), C″(-5, 2).

• The coordinates of △A″B″C″ are: A″(0, 0), B″(2, 4), C″(4, 0).

• The coordinates of △A″B″C″ are: A″(1, 1), B″(4, 4), C″(7, 1).

• The coordinates of △A″B″C″ are: A″(0, 0), B″(4, 2), C″(6, 2).

Tags

CCSS.HSG.CO.A.2

Which statement correctly explains why figures PQRS and JKLM are similar?

• Figure JKLM is a dilation of figure PQRS by a scale factor of 4.

• Figure JKLM is a dilation of figure PQRS by a scale factor of 3.

• Figure PQRS is a dilation of figure JKLM by a scale factor of 4.

• Figure PQRS is a dilation of figure JKLM by a scale factor of 3.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Marta wants to prove that Figures A and A'' are similar. What sequence of transformations could Marta perform to prove that the figures are similar? Write your answers in the blanks.

• Translate figure A up 5 units. Dilate figure A' by a scale factor of 3/2 with the center of dilation at (0,0) to form Figure A''.

• Reflect figure A over the y-axis. Rotate figure A' 90 degrees clockwise to form Figure A''.

• Rotate figure A 180 degrees about the origin. Translate figure A' left 4 units to form Figure A''.

• Dilate figure A by a scale factor of 2 with the center of dilation at (0,0). Reflect figure A' over the x-axis to form Figure A''.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Are figures B and B' similar?

• Yes, they are similar.

• No, they are not similar.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

The figure shows two lines cut by a transversal. Which statement correctly explains why the two lines are parallel?

• The vertical angles are congruent.

• The same-side exterior angles are congruent.

• The alternate interior angles are congruent.

• The corresponding angles are congruent.

Tags

CCSS.8.G.A.5

Triangle X is a right triangle that includes an angle with a measure of 37°. Triangle Y is a right triangle that includes an angle with a measure of 53°. Which statement is true?

• The triangles are not similar because a 37° angle and a 53° angle are not congruent.

• The triangles are similar because they each have a right angle.

• The triangles are similar because they each have angles that measure 37°, 53°, and 90°.

• It is not possible to determine whether the triangles are similar from the information given.

Tags

CCSS.HSG.SRT.A.2

Which angles are supplementary to ∠5?

• ∠1 and ∠7

• ∠6 and ∠7

• ∠1 and ∠8

• ∠2 and ∠6

Tags

CCSS.7.G.B.5

Derek designs a sign for an auto repair shop, represented by figure ABCD. He reduces the sign to form image A'B'C'D'. He uses a scale factor of 1/2 with a center of dilation at the origin. What are the coordinates of B'? Write your answer in the blanks.

• (2, -3)

• (4, -6)

• (1, -1.5)

• (-2, 3)

Tags

CCSS.8.G.A.3