Triangle Congruence Practice
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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14 questions
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1.
FLASHCARD QUESTION
Front
Which Triangle Congruence Theorem proves these triangles congruent? Options: AAS, ASA, SAS, HL, Cannot be proven congruent
Back
ASA
Answer explanation
These triangles are congruent by ASA.
Angle-Side-Angle
Tags
CCSS.HSG.SRT.B.5
2.
FLASHCARD QUESTION
Front
Which Triangle Congruence Theorem proves these triangles congruent? Options: AAS, ASA, SAS, SSS, Cannot be proven congruent
Back
SSS
Answer explanation
Mark the shared side as congruent. Then we can see the triangles are congruent by SSS.
Side-Side-Side
Tags
CCSS.HSG.SRT.B.5
3.
FLASHCARD QUESTION
Front
Which Triangle Congruence Theorem proves these triangles congruent? Options: AAS, ASA, SSA, HL, Cannot be proven congruent
Back
AAS
Answer explanation
First, mark the vertical angles as congruent.
-------------
Then, focus on one triangle and see Angle-Angle-Side.
AAS
This is not ASA because the Side is NOT between the angles.
Tags
CCSS.HSG.SRT.B.5
4.
FLASHCARD QUESTION
Front
Which Triangle Congruence Theorem proves these triangles congruent? Options: AAS, SAS, ASA, SSS
Back
ASA
Answer explanation
First, mark the shared side as congruent.
Then, focus on just one of the triangles if you need to.
These triangles are congruent by Angle-Side-Angle.
ASA
Tags
CCSS.HSG.SRT.B.5
5.
FLASHCARD QUESTION
Front
Which Triangle Congruence Theorem proves these triangles congruent?
AAA
,ASA
,AAS
,Cannot be proved congruent!
Back
Cannot be proved congruent!
Answer explanation
Even though all the angles are marked congruent, AAA, Angle-Angle-Angle is NOT a triangle congruence theorem.
This cannot prove triangles are congruent.
Remember "No screaming! AAA!!!"
Tags
CCSS.HSG.SRT.B.5
6.
FLASHCARD QUESTION
Front
For which situation could you prove ∆1 ≅ ∆2 using the HL (Hypotenuse-Leg) Theorem? Options: I only, II only, III only, I and III
Back
III only
Answer explanation
The hypotenuses are only marked as congruent in the third picture.
Tags
CCSS.HSG.SRT.B.5
7.
FLASHCARD QUESTION
Front
How are the triangles congruent? Options:
SAS
,SSA
,ASA
,These are not congruent
Back
These are not congruent
Answer explanation
Even though both triangles have two sides and one angle marked congruent, they are not in the same order.
SAS is not congruent to SSA, so these triangles cannot be proven congruent.
Tags
CCSS.HSG.SRT.B.5
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