HL Theorem

Multiple Choice

Complete the congruence statement.

• $$\Delta CRP$$

• $$\Delta PCR$$

• $$\Delta RPC$$

• $$\Delta PRC$$

Multiple Choice

∆ABC ≅ ∆XYZ, which is true?

• AB ≅ XY

• AB ≅ YX

• AB ≅ XZ

• BC ≅ CB

Multiple Choice

∆ISR ≅

• ∆TRS
• ∆RST
• ∆STR
• ∆TSR

Multiple Choice

What is the correct congruence statement? ΔDEC ≅________

• ΔAEB

• ΔEAB

• ΔBEA

• Not Congruent

Multiple Choice

What is the definition of side-side-side congruence?

• A property of triangles where two pairs of corresponding sides are congruent.

• A property of triangles where the angles are congruent.

• A property of triangles where all three pairs of corresponding sides are congruent.

Multiple Choice

Give an example of side-side-side congruence.

• Two triangles with sides of length 4, 5, and 6 are an example of side-side-side congruence.

• Two triangles with sides of length 3, 4, and 5 are an example of side-side-side congruence.

• Two triangles with sides of length 2, 3, and 4 are an example of side-side-side congruence.

• Two triangles with sides of length 1, 2, and 3 are an example of side-side-side congruence.

Multiple Choice

Can you use Angle Side Angle to prove these triangles are congruent?

• Yes

• No

Multiple Choice

What can you use the prove these triangle are congruent?

• Side Angle Side

• Angle Side Angle

• None, They aren't congruent.

Multiple Choice

How can you prove <DEA and <BEC are congruent?

• Nothing, They aren't congruent.

• Yes, Vertical Angles

• Yes, Alternate Interior Angles

• Yes, Corresponding Angles.

Multiple Select

Which two sides include angle B (choose both)

• Side AC

• Side AB

• Side BC

Multiple Choice

Which Angle is included between AB and AC?

• Angle A

• Angle B

• Angle C

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS
• SSS
• SAS
• SSA

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SSS
• ASA
• AAS
• SAS

HL Triangle Congruence

Multiple Choice

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

• Yes, △ABC≅△YXW
• Yes, △CBA≅△WXY
• Yes, △BCA≅△XYW
• No

Multiple Choice

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

• Yes, △ABC≅△NLM
• Yes, △CBA≅△NLM
• Yes, △CBA≅△MLN
• No

Multiple Choice

State if the two triangles are congruent.  If they are, state which theorem you would use.

• Yes, SAS
• Yes, SSS
• Yes, HL
• No

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• HL
• SSA
• SAS
• AAS

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SSS
• ASA
• AAS
• SAS

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS
• SSS
• Not enough information given
• ASA

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS
• SSS
• SAS
• SSA

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SAS
• Not enough information
• SSS
• AAS

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAA

• SAS

• ASA

• NONE

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• HL

• SAS

• ASA

• NONE

Multiple Choice

• Congruent by SSA

• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• ASA
• AAS

Multiple Choice

How are the triangles congruent?

• SAS
• SSS
• ASA
• HL

Multiple Choice

How are the triangles congruent?

• SAS
• ASA
• HL
• SSS

Multiple Choice

Find the measure of the missing angle.

• 90^o
• 10⁰
• 130^o
• 50^o

Multiple Choice

Find the measure of the indicated angle. 

• 95
• 85
• 35
• 45

Multiple Choice

Solve for x.

• 6
• -10
• 7
• -9

Multiple Choice

Solve for x

• 28
• 12
• 10
• 2

Multiple Choice

If all three angles are exactly the same measure, how big is each angle?
Hint:    x + x + x  = 180

• 180 degrees
• 90 degrees
• 50 degrees
• 60 degrees

Multiple Choice

Which of the following terms best describes Angle d?

• Remote interior angle
• Corresponding angle
• Exterior angle
• Interior angle

Multiple Choice

Which two angles are the remote interior angles to Angle W?

• Angle X and Angle Y

• Angle X and Angle Z

• Angle Y and Angle Z

• Angle Z and Angle W

Multiple Choice

Which equation would solve for x?

• x + 51 + 47 = 180

• x = 51 - 47

• x = 51 + 47

• x + 57 + 47 = 18

Fill in the Blanks

Find the indicated angle measure. (What is ?)

Fill in the Blanks

What is the value of x?

Multiple Choice

What is the measure of x?

• 101°

• 111°

• 121°

• 131°

Multiple Choice

∠1 and ∠3 can best be described as -

• complementary angles
• supplementary angles
• vertical angles
• adjacent angles

Multiple Choice

Identify the type of angle shown.

• Complementary
• Supplementary

Multiple Choice

State the angle relationship and find the measure of angle 1

• Corresponding
  110
• Alternate Exterior
  110
• Corresponding
  70
• Alternate Exterior
  70

Multiple Choice

State the angle relationship and find the measure of angle 1

• Alternate Interior
  37
• Alternate Interior
  143
• Corresponding
  143
• Corresponding
  37

Multiple Choice

What word describes line Z?

• Transversal
• Parallel
• Corresponding
• Same side interior

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

Find C 

• ∠C=116°
• ∠C=64°
• ∠C=180°
• ∠C=26°

Multiple Choice

Which pair of angles are alternate exterior angles?

• Angle 7 and Angle 4
• Angle 2 and Angle 6
• Angle 8 and Angle 1
• Angle 2 and Angle 8

Multiple Choice

Which of the following is NOT an example of supplementary angles?

• $$\angle7\ and\ \angle8$$  

• $$\angle2\ and\ \angle3$$  

• $$\angle1\ and\ \angle7$$  

• $$\angle6\ and\ \angle4$$