8th Grade Unit 2 review

The figure shows two lines cut by a transversal.

What value of x shows that the lines are parallel?

Tags

CCSS.HSG.CO.C.9

Brittany performs a dilation on figure A. She uses a

scale factor of 2 with a center of dilation at the

origin. She says the coordinates of the image of

point X are (8, 2). What mistake may Brittany have

made, and what are the correct coordinates of the

image?

• Brittany may have added 2 to the y-coordinate

  instead of multiplying by 2. The correct coordinates are (8, 0).

• Brittany may have subtracted 5 to the x-coordinate

  instead of dividing by 3. The correct coordinates are (5, 10).

• Brittany did not make a mistake, she was correct.

Tags

CCSS.HSG.SRT.A.1

△ABC is rotated 90° counterclockwise around the origin to form △A'B'C'. Then

△A'B'C' is dilated using a scale factor of 5/4 with a center of dilation at vertex A'

to form △A''B''C''. What are the coordinates of △A''B''C''?

• A''(21, 23)

  B''(21, 7)

  C''(4, 23)

• A''(210, 23)

  B''(21, 70)

  C''(4, 500)

• A''(21, 38)

  B''(71, 7)

  C''(4, 26)

• A''(6, 23)

  B''(21, 5)

  C''(2, 0)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Which statement correctly explains why figures ABCD and WXYZ are similar?

• Figure WXYZ is a dilation of figure ABCD by a scale factor of 4.

• Figure WXYZ is a dilation of figure ABCD by a scale factor of 5.

• Figure ABCD is a dilation of figure WXYZ by a scale factor of 4.

• Figure ABCD is a dilation of figure WXYZ by a scale factor of 5.

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Giada wants to prove that Figures A and A0 are similar. What sequence of

transformations could Giada perform to prove that the figures are similar?

• translate 4 down,

  dilate by 1/2

• translate 4 down,

  dilate by 5/4

• translate 4 down,

  dilate by 2

• translate 4 up,

  dilate by 1/2

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Are figures B and B' similar? Explain your reasoning.

• No. The quotients of the lengths of

  corresponding sides are not equivalent.

• Yes. The quotients of the lengths of

  corresponding sides are equivalent.

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

The figure shows two lines cut by a transversal.

Which statement correctly explains why the two lines

are parallel?

• The alternate interior angles are congruent.

• The vertical angles are congruent.

• The same-side exterior angles are congruent.

• The corresponding angles are congruent.

Tags

CCSS.HSG.CO.C.9

Triangle X is a right triangle that includes an angle with a measure of 52°.

Triangle Y is a right triangle that includes an angle with a measure of 28°.

Which statement is true?

• The triangles are similar because they each have angles that measure 28°, 52°,

  and 90°.

• The triangles are not similar because only one pair of corresponding angles is

  congruent.

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

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

  information given.

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Which angles are congruent to ∠2? Select 3 answers.

• ∠3 because they are vertical angles

• ∠6 because they are corresponding angles

• ∠7 because it is a vertical angle to ∠6

• ∠9 because they are vertical angles

• ∠4 because they are consecutive angles

Tags

CCSS.HSG.CO.C.9

Lukas designs a sign for a computer repair shop, represented

by figure ABCD. He reduces the sign to form image A'B'C'D'.

He uses a scale factor of 1/3 with a center of dilation at the origin.

What are the coordinates of B'?

Tags

CCSS.HSG.SRT.A.1