Finals review -2

In the graph above, AB is rotated to obtain CD . What is the measure of the angle between AB

and CD ?

• 90°

• 60°

• 30°

• 120°

Describe the transformation used to carry ΔXYZ

onto its image ΔX'Y'Z'.

• rotation 90° counterclockwise about the origin

• rotation 270° counterclockwise about the origin

• reflection across the line y = x

• reflection across the x-axis

Under which rigid motion transformation can it be shown that ABCD is congruent to A'B'C'D'?

• dilation

• reflection

• rotation

• translation

If RSTU is translated by the rule (x,y)→(x+2,y−10)

, in which quadrant will the image R'S'T'U' be located?

• quadrant I

• quadrant II

• quadrant III

• quadrant IV

Given: △ABD≅△CDB

Which of the following must be true if the triangles are congruent?

• AB∥DC

• AB⊥BC

• DB bisects ∠ABC

• None of the statements above must be true.

Given: AB||DC and AB ≅ DC. Which congruence statement(s) can be proven using the givens and the figure above?

• ΔABC ≅ ΔDCA only

• ΔBAC ≅ ΔDAC only

• ΔCAB ≅ΔACD only

• All three of the congruence statements above can be proven.

In the figure below, DE ≅ XW , and ∠X ≅ ∠D. Which additional information would be enough to prove that ΔXWY ≅ ΔDEC?

• ∠Y ≅ ∠D

• ∠Y ≅ ∠E

• ∠W ≅ ∠C

• ∠W ≅ ∠E

Ingrid wants to prove that the diagonals of a parallelogram bisect each other, using the figure below. Which statement and reason should be part of her proof?

• △QRS≅△RTQ by SSS

• △QMR≅△TMS

  by ASA

• △QRS≅△SQT

  by SSS

• △QMR≅△SMT

  by ASA

Which equation can be used to solve for x in the parallelogram below?

• 6x+12=7x−8

• (3x−12)+(7x−8)=90

• 7x−8=2x+8

• (7x−8)+(6x+12)=180

In which case are all the pairs of corresponding angles of △FRP

and △F'R'P'

congruent?

• △FRP

  is mapped onto △F'R'P' according to the transformation (x,y)→(−3x,−2x)

  .

• △FRP is mapped onto △F'R'P' according to the transformation (x,y)→(−2x,−y).

• △FRP

  is mapped onto △F'R'P'

  according to the transformation (x,y)→(−2x,−3x)

  .

• △FRP

  is mapped onto △F'R'P'

  according to the transformation (x,y)→(−3x,−3y)

  .