Triangle Similarity and Congruence

Similarity, Congruence, and Angle Relationships

A Targeted Review

Read Carefully!

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Also on the Test

• Angle Relationships

• Vertical Angles

• Linear Pairs

• Complementary

• Supplementary

Triangle Sum Theorem

• Sum of all 3 angles is ALWAYS 180 degrees!

• No matter what type of problem

Algebra too!

• Notice the format is the same

• Add all angles and set equal to 180

What about Parallel Lines?

• If a transversal cuts the parallel lines...

• We'll have corresponding angles congruent

• We'll have alternate interior angles congruent

• We'll have alternate exterior angles congruent

• We'll have same-side interior angles that are supplementary

Analyzing Figures for Angle Relationships

• Label relationships that are given such as parallel lines

• Label implied relationships such as vertical angles, corresponding angles, etc

• Begin by calculating simple relationships such as linear pairs and triangle sum (missing angle)

• You should arrive at the ability to find the missing value easily if you follow this protocol

Fill in the Blank

Determine the measure of angle ABE.

Fill in the Blank

Copy/Paste the link to view the solution to that last problem

• https://www.loom.com/share/53a52ee2b1f64cd2a166a8287b5ce0b6

Triangle Congruence

• SSS

• SAS

• ASA

• AAS

• HL

Multiple Choice

∠A ≅∠?

• ∠B

• ∠E

• ∠D

• ∠F

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SSS

• SAS

• Not similar

Multiple Choice

Are the triangles similar?

• Yes
• No

Multiple Choice

The triangles are similar by...

• SAS
• AAS
• ASA
• SSS

Multiple Choice

Why are the triangles similar?

• AA
• SAS
• SSS
• AAS

Multiple Choice

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.

• 4 ft
• 2 ft
• 8 ft
• 6ft

Multiple Choice

VW is a midsegment of triangle KIJ. What is the length of segment KI?

• -1
• -10
• 18
• 8

Multiple Choice

QR is a midsegment of triangle FGH. Solve for the value of x?

• 5.5
• 11
• -5.5
• -11

Multiple Choice

What segment is parallel to EF?

• Segment PM
• Segment MN
• Segment NP
• Segment FG

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 9
• x = 28
• x = 7
• x = 63

Multiple Choice

Is DE parallel to BC?

• Yes
• No

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 20
• x = 12
• x = 5
• x = 4

Multiple Choice

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft