Angle Theorems of Triangles

Angle Theorems of Triangles

Interior Angles of a Triangle: 

Angles inside a triangle add up to 180⁰.

Multiple Choice

What is the measure of angle b

• 146
• 34
• 36
• 136

Multiple Choice

Find the measure of the indicated angle. 

• 95
• 85
• 35
• 45

Exterior Angles

The measure of an exterior angle of a triangle is the sum of the two opposite interior angles

Multiple Choice

What is the value of the missing angle?

• 90

• 100

• 20

• 120

Multiple Choice

What is the measure of angle b?

• 36^o

• 56^o

• 63^o

• 117^o

Angle-Angle (AA) Similarity

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. 

Multiple Choice

If two figures are similar their angles are______.

• proportional
• congruent
• supplementary
• complementary

Multiple Choice

Are the triangles similar?

• Yes, because the two angles of one triangle are congruent to two angles of another triangle.

• No, because there the triangles do not have two angles that are congruent.

Multiple Choice

Are the triangles similar?

• Yes, because the two angles of one triangle are congruent to two angles of another triangle.

• No, because there the triangles do not have two angles that are congruent.

Proving Similar Triangles: Side-Side-Side (SSS)

If the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.

Multiple Choice

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Multiple Choice

Determine if the two triangles are similar.

• Yes, because x=2 which shows all the corresponding sides are proportional.

• Yes, because x=3 which shows all the corresponding sides are proportional.

• No, the two triangles are not similar because two of the angles are not congruent.

• No, the two triangles are not similar because the