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Triangle Congruence

​Practice

Multiple Choice

Given: M is the midpoint of $$\overline{AC}$$   $$\angle AMB\ \cong\ \angle CMB$$  

• SSS

• SAS

• ASA

• AAS

• HL

Multiple Choice

Given: $$\overline{BM\ }\ \perp\ \overline{AC}$$  

$$\overline{BM\ }\$$  bisects $$\angle ABC$$  

• SSS

• SAS

• ASA

• AAS

• HL

Multiple Choice

Given: $$\angle AMB\ \cong\ \angle CMB$$  

$$\angle A\ \cong\ \angle C$$  

• SSS

• SAS

• ASA

• AAS

• HL

Multiple Choice

Given: $$\overline{BM\ }\ \perp\ \overline{AC}$$  

AB = CB

• SSS

• SAS

• ASA

• HL

• CBD

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

How are the triangles congruent?

• AAS
• SAS
• ASA
• SSS

Multiple Choice

How are the triangles congruent?

• SAS
• SSS
• AAS
• HL

Multiple Choice

How are the triangles congruent?

• AAS
• SAS
• ASA
• Not congruent

Multiple Choice

Which is NOT a criteria for triangles to be congruent by the HL Theorem?

• Right triangles
• congruent hypotenuses
• Two pairs of congruent legs
• One pair of congruent legs

Multiple Choice

Are these triangles congruent?

• Yes, by ASA
• Yes, by SAS
• Yes, by AAS
• No, this is the SSA one!!

Multiple Choice

Are these triangles congruent?

• Yes, by SSS
• Yes, by SAS
• Yes, by AAS
• Yes, by HL

Multiple Choice

ΔWXZ ≅ Δ_____ by _____

• ΔWXY , SAS

• ΔWXY , ASA

• ΔWZY , SAS

• Cannot Be Determined

Multiple Choice

ΔLMO ≅ _______ by ______

• ΔNOM , SSS

• ΔMON , SSS

• ΔNOM , SAS

• Cannot Be Determined

Multiple Choice

ΔWAT ≅ Δ_____ by _____

• ΔTRE , ASA

• ΔTER , ASA

• ΔTER , AAS

• Cannot Be Determined

Multiple Choice

Which is NOT a test to prove triangles congruent?

• SAA
• SSS
• SSA
• SAS

Multiple Choice

What does SAS stand for?

• Side-Angle-Side
• Super-Awesome-Side
• Side-Angle-Supersized
• Sensationally Awesome Superman

Multiple Choice

1

• a
• b
• c
• d

Multiple Choice

3

• a
• b
• c
• d

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Which postulate can we use to prove the two triangles are congruent?

• SSS

• SAS

• AAS

• Not Possible

Multiple Choice

Which postulate can we use to prove the two triangles are congruent?

• SAS

• SSA

• AAS

• SSS

Multiple Choice

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Multiple Choice

What is the "statement" for step 2 of the proof?

• ∆BAC≅∆DAC
• BC=DC
• ∡B≅∡D
• ∡BAC≅∡DAC

Multiple Choice

Find the value for x.

• 48

• -9

• -30

• 10

Multiple Choice

Find the length of segment PQ.

• 15

• 14

• 60

• 16

Multiple Choice

Find the value of segment KI.

• 2.5

• 5

• 5x

• 10

Multiple Choice

Find the value of segment AC.

• 4

• 2

• 8

• 1/2 ST

Multiple Choice

• 3/2

• 90

• 8.7

• 4

Multiple Choice

• 7

• -7

• -91

• 46

Multiple Choice

Find the missing value.

• Impossible

• 37

• 53

• 127

Multiple Choice

What is the name of the two angles?

What is their relationship?

• Consecutive Interior; supplementary

• Alternate Interior; congruent

• Alternate Interior; complementary

• Vertical; reflection

Multiple Choice

What is the name of the two angles?

What is their relationship?

• Alternate Interior; Supplementary

• Corresponding; Oblique

• Alternate Exterior; Congruent

• Linear pair; Supplementary

Multiple Choice

Are the triangles congruent? How do you know?

• No; Not enough information

• Yes; SSS

• Yes; HL

• Yes; SAS

Multiple Choice

What are these two angles called?

• Obtuse

• Vertical Angles

• Linear Pair

• Corresponding Angles

Multiple Choice

What is the measure of b?

• 145

• 55

• 35

• 180

Multiple Choice

What is the relationship between these vertical angles?

• Congruent

• Complementary

• Supplementary

• Acute

Multiple Choice

Find the value of x.

• 87

• -1

• 23

• 5

Multiple Choice

Set the problem up to find x.

• x + 74 + 55 + 54 = 180

• x + 74 = 55 + 54

• 180 - (55 + 54)

• x + 74 = 60

Multiple Choice

Segment FD is congruent to segment _________.

• IK

• IJ

• EF

• KI

Multiple Choice

Are the two triangles congruent? How do you know?

• Yes; SSS

• No; Not enough information

• Yes; SAS

• Yes; SSA

Multiple Choice

Are the two triangles congruent? How do you know?

• Yes; AAA

• No

• Yes; AAS

• Yes; ASA

Multiple Choice

The _________ is the segment that connects the midpoints of two sides of a triangle.

• median

• midpoint

• midsegment

• interior line segment

Multiple Choice

The ___________ theorem states that if the hypotenuse and a leg in one triangle are congruent to the hypotenuse and corresponding leg in another triangle, then the two triangles are congruent.

• HL

• SSS

• AA

• No such thing