TOPIC 5-6 TRIANGLES REVIEW

​Geometry Topic 5-6 Review

By Cathy Joseph

Multiple Choice

The lengths of two sides of a triangle are 5 feet and 14 feet. What is the range of possible lengths for the third side?

• 8 feet <x< 18 feet

• 9 feet <x< 18 feet

• 9 feet <x< 19 feet

• 10 feet <x< 20 feet

Multiple Select

In the diagram below ∆ABC≅∆DFG. Select All the true statements.

• AB=11

• DG=12

• m∠D=35°

• m∠F=35

• m∠G=35°

Multiple Choice

Which triangle can be shown to be congruent to triangle MNO with only the given information?

Multiple Select

• A

• B

• C

• D

• E

Multiple Select

Based on the information given below, which of the following congruence theorems can be used to prove that ∆LMN≅JKN? Select All that apply.

• Side-Side-Side

• Side-Angle-Side

• Angle-Side-Angle

• Angle-Angle-Angle

• Hypotenuse-Leg

Multiple Choice

Find the length of US given that ∠P≅∠S and the length of PQ is 20.

• .  US=6

• .  US=8

• .  US=14

• .  US=20

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Multiple Choice

In ∆ABC, shown below, D is the centroid. If DG=8x-4 and CG=16x+12, find DC.

• 3

• 20

• 40

• 60

Multiple Choice

In the diagram below of ∆ABC, AB ≅ AC. What is the value of x?

• x=20 

• x=35

• x=32

• x=40

Fill in the Blanks

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Multiple Select

Select all the correct answers.

• A

• B

• C

• D

• E

Multiple Choice

Select all the correct answers.

• A

• B

• C

• D

• E

Multiple Select

In the figure UV, VW, and UV are midsegments of ∆LMN.  If LU=3(x-5), VW=3+x, and m∠MLN=(y+15)°, which of the following statements are true? Select All that apply.

• x=9

•  x=11

• y=25

• y=40

• UM=12

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Multiple Select

Karla is designing a triangular banner. The lengths of two of the sides are 4.5 feet and 9.5 feet.     

       Select all the possible lengths of the third side.

• 4.5 ft.

• 5.5 ft. 

• 9.5 ft.  

• 13.5 ft.

• 14.5 ft.

Multiple Choice

Select the correct letter.

• A

• B

• C

• D

Multiple Choice

• Step 1: A

  Step 4: D

• Step 1: A

  Step 4: C

• Step 1: D

  Step 4: B