

Math 2 - Unit 2 Review
Presentation
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Edward D Coleman
Used 25+ times
FREE Resource
8 Slides • 14 Questions
1
Math 2 - Unit 2 Review
Mr. Coleman
Unit 2 - Congruence and Similarity

2
Poll
Which of our lessons from Unit 2 do you feel like you need to work on the most?
Lesson 2.1: Parallel Lines and Transversals
Lesson 2.2: Congruence and CPCTC
Lesson 2.3: Congruent Triangles
Lesson 2.4: Similar Triangles
3
Lesson 2.1: Parallel Lines and Transversals
Angle pair relationships
Solving for missing angles
Proofs with parallel lines
4
Angle Relationships
Corresponding Angles (1 and 5, 2 and 6, 3 and 7, 4 and 8) - CONGRUENT
Alternate Interior Angles (3 and 6, 4 and 5) - CONGRUENT
Alternate Exterior Angles (1 and 8, 2 and 7) - CONGRUENT
Consecutive Interior Angles (3 and 5, 4 and 6) - SUPPLEMENTARY
5
Multiple Select
From the diagram shown, state all angles that would be CONGRUENT to Angle 1.
Angle 3
Angle 4
Angle 5
Angle 6
Angle 8
6
Solving for Missing Angles
Identify the angle to be solved
Look for relationships with known angles
Use relationships to solve for the missing value by setting them equal to each other (congruent) or their sum equal to 180 (supplementary)
7
Fill in the Blanks
Solve for the values of x and y from the diagram shown.
Type answer...
8
Proofs with Parallel Lines
Case 1: Using parallel line relationships to prove congruent angle pairs
Case 2: Using angle relationships to prove lines are parallel
9
Multiple Choice
Based on the diagram shown, what reason would justify verifying that Angle 1 is congruent to Angle A?
Alternate interior angles
Alternate exterior angles
Corresponding angles
Vertical angles
10
Lesson 2.2: Congruence and CPCTC
Definition of congruence
Identifying corresponding parts of figures
Using CPCTC to find missing values
11
Open Ended
What does it mean for two figures to be congruent? Be as detailed as possible in your explanation.
12
Multiple Select
If we are told that
ΔVRT ≅ ΔMNL , which of the following congruence statements are valid?RT ≅ MN
∠TRV ≅ ∠LNM
VT ≅ ML
∠TVR ≅ ∠NML
LN ≅ TR
13
Multiple Choice
For the diagram provided, use the given information to solve for the value of x.
x = 20
x = 15
x = -10
x = 2
14
Lesson 2.4: Congruent Triangles
Triangle Congruence Theorems
Identifying Applicable Theorems
Proving Triangles Congruent
15
Multiple Choice
Which of the following is NOT a valid triangle congruence theorem?
ASA
SSS
SSA
AAS
SAS
16
Multiple Choice
Which triangle congruence shortcut verifies the two given triangles are congruent?
SSS
ASA
SAS
AAS
HL
17
Multiple Select
Which of the following pieces of information would allow you to prove these triangles congruent by ASA?
DE ≅ BE
AB ∥ CD
∠AEB ≅ ∠CDE
AB ≅ CD
18
Lesson 2.4: Similar Triangles
Definition of Similarity
Triangle Similarity Theorems
Applying Similar Figures
Proving Triangles Similar
19
Multiple Choice
Given the image shown in the diagram, which triangle similarity theorem would prove
ΔAPQ ∼ ΔABC ?AA
SSS
ASA
Triangles cannot be proven similar.
20
Multiple Choice
Which of the following is NOT a theorem to prove triangles are similar?
AA Theorem
SAS Theorem
ASA Theorem
SSS Theorem
21
Fill in the Blanks
For the given figure, find the measure of h assuming that the triangles are similar.
Type answer...
22
Multiple Select
Which of the following statements must be true for two triangles to be similar?
Corresponding sides congruent
Corresponding angles congruent
Corresponding sides proportional in length
Corresponding angles proportional in measure
Math 2 - Unit 2 Review
Mr. Coleman
Unit 2 - Congruence and Similarity

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