UNIT 2 TEST REVIEW MATERIALS Name: ________________

Unit 1 Material

Graph the image of the figure using the transformation given and give the algebraic rule.

1) Rotation 90° counter clockwise about the origin 2) Translation 4 units right and 1 down, then

reflect over the 𝑦-axis

3) reflect of the line 𝑦 = −𝑥 4) Reflect over the the 𝑥-axis then the y-axis

5) What single transformation can be performed to replicate the composition of transformations in #4?

Find the coordinates of the vertices of the figure using the transformation given:

6) 7)

8) 9)

Write a description of the transformation which occurred from the pre-image to image

below.

Graph the image of the figure using the transformation given and write the algebraic rule.

10) 11)

12) 13)

14) 15)

Describe the transformations on the graph and write the algebraic rule.

Unit 2 Material

11) 1) Find mDEG and mGEF. 2) Find mDBC.

3) 1 and 2 are complementary. m1 = 2x + 7 and m2 = 4x – 19. Find the measure of each angle.

4) 3 and 4 are supplementary. m3 = 5x + 22 and m4 = 7x + 2. Find the measure of each angle.

5) Identify each pair of angles as adjacent, vertical, complementary, supplementary, and/or linear pair.

a) 1 and 2

b) 3 and 4

c) 5 and 4

d) 3 and 5

(4x – 20)

x

A B

C

D

1

2

3 4 5

16) 17) 18)

6) 𝑥 = ______ x = ______

𝑦 = ______

_______ABCm

7) 𝑆𝑇 ⃗⃗⃗⃗⃗⃗ bisects RSW , 27RSTm

_________TSWm _________WSRm

8) 𝐵𝐷⃗⃗⃗⃗⃗⃗ bisects ABC

x = ______

_______ABCm

Classify each pair of angles as corresponding, alternate interior, alternate exterior, consecutive

interior, or consecutive exterior.

9) 10) 11)

12) 13) 14)

(12𝑦)°

Find the values of x and y.

15) 16) 17)

18) 19) 20)

22) Use the figures below to complete the following statements:

a. ∆𝐷𝐸𝐹 ≅ ∆ ______ by SAS≅

b. ∆𝐴𝐵𝐶 ≅ ∆ ______ by SSS≅

23) Which two triangles below are congruent by ASA? Write a congruence statement.

∆ ______ ≅ ∆ ______ by ASA≅

21)

24)

25)

26)

28) 29)

27)

30) 31)

Determine whether the following triangles are congruent, if so complete the congruent

statement.

∆𝑴𝑱𝑲 ≅ ∆______ by _______ ∆𝑵𝑷𝑹 ≅ ∆______ by _______ ∆𝑺𝑹𝑼 ≅ ∆______ by _______

Triangle Congruence Proofs:

35)

36)

32) 33) 34)

37)

38)