Geometry Triangle Sum Theorem

• m∠GHK=80.5,

  m∠KHJ=161

• m∠GHK=161,

  m∠KHJ=80.5

• m∠GHK=80.5,

  m∠KHJ=80.5

• m∠GHK=161,

  m∠KHJ=161

find the measure of ∠ABD

• x=3/17 ∠ABD = 27°

• x=9 ∠ABD = 81°

• x=3 ∠ABD = 27°

• x= -3 ∠ABD = -27°

Find the value of x.

• 1/2

• 1

• 2

• Cannot be determined.

Find the length of PO.

• 32

• 35

• 26

• 29

Complete the proof for the Triangle Sum Theorem using angle relationships or properties of equality to justify each statement.

a

b

Triangle Sum Theorem

Alternate Interior Angles Postulate

Transitive Property

Alternate Exterior Angles Postulate

One example from the video is shown. What is the length of JP?

• 5

• 11

• 12

• 7

What is the largest angle in this triangle?

• C

• A

• BA

• AC

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length

• equal to 10

• greater than 10

• less than 10

Which set of numbers may represent the lengths of the sides of a triangle?

• {2,5,9}

• {6,6,7}

• {6,4,2}           

• {7,8,1}

• <

• >

• =