Geo Unit 3 Final Exam Review

​Unit 3 Final ExamReview

By Darryl Padgett

Transformation & Triangle Congruence

Multiple Choice

Determine how to translate triangle ABC to triangle A'B'C'.

• (x - 9 , y + 2)

• (x + 2, y - 9)

• (x - 2, y + 5)

• (x - 2, y + 9)

Multiple Choice

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right
• Translated 5 units down and 1 to the right
• Translated 8 units down and 5 units to the right
• Translated 5 units down and 4 units to the right

Multiple Choice

Identify the transformation.

• Reflection across y-axis
• 90 Rotation counter clockwise
• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

​

​1. Plot the point(s)

2. What is the rotation?

3. Follow the rule and re-write the point

4. Graph the new point(s)​

​Steps:

​

​

Multiple Choice

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Multiple Choice

What type of rotation does this represent

(from red to blue)?

• 270⁰ clockwise

• 180⁰

• 90⁰ clockwise

• 90⁰ counter clockwise

Multiple Choice

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Multiple Choice

Describe the transformation shown in the graph.

• Reflect over x-axis
• Reflect over y-axis
• Rotate 180 degrees
• Translate 4 units right

Multiple Choice

Find K' if the figure is reflected across the x-axis

• (4, 1))
• (-1, -4)
• (1, -4)
• (1, 4)

Multiple Choice

Describe the point (3, -7) -> (-3, -7)

• Reflection across the

  x-axis

• Reflection across the

  y-axis

• Reflection across the

  z-axis

• no reflection

Multiple Choice

Describe the transformations that map ABC onto A"B"C"

• translate 5 up and 1 left then reflect over y
• translate 5 down and 1 left, then reflect over y
• reflect over y=x then translate left 8
• reflect over x then rotate 90 clockwise

Multiple Choice

Find Q''' if Q(-3, 1) is reflected over the x-axis, then rotated CCW 90 degrees, and then translated right 3 and up 4.

• (-3, 1)

• (4, 1)

• (4, -1)

• (-3,-1)

​or HL

​Triangle Congruence Theorems

​or HL

Match

Match the following

SAS

SSS

ASA

AAS

HL

• SAS

• SSS

• ASA

• AAS

• HL

Fill in the Blanks

Find the unknown values of the following congruent pairs of triangles.

Answer: x=___,y=___,z=___ (no spaces, no degree symbol)

Multiple Choice

∆ABC ≅ ∆XYZ

which is true?

• $$\angle C\cong\angle A$$

• $$\angle C\cong\angle Z$$

• $$\angle B\cong\angle Z$$

• $$\angle A\cong\angle Y$$

Multiple Choice

Name the corresponding angle or side.

• A

• B

• C

• D

Multiple Choice

Complete the statement.

• $$\Delta DEF$$

• $$\Delta FDE$$

• $$\Delta EDF$$

• $$\Delta FED$$

Labeling

Triangle Congruence Theorems

Drag labels to their correct position on the image

AAA

ASA

AAS

ASS

SSS

HL

SAS

SSA

Dropdown

Write a congruence statement and state which theorem is used to determine if the following triangles are congruent.

$$\Delta NMP\cong$$ ​

Select answer

by ​

Select answer

Triangle Congruence Theorem.

Multiple Choice

What is the measure of angle b?

• 198*
• 56*
• 63*
• 36*

Multiple Choice

Solve for x THEN find the degrees for angle A.

• 44^o
• 96^o
• -14^o
• 63^o