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 Blanks

Fill in the Blanks

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