Geometry 5.3 Proving Triangle Congruence by SAS

Quiz
•
Mathematics
•
9th - 12th Grade
•
Medium
+2
Standards-aligned
Montana Hise
Used 4+ times
FREE Resource
6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
Decide whether enough information is given to prove that the triangles are congruent using SAS Congruence Theorem. Explain.
Yes, both triangles have a congruent angle in between two congruent sides.
Yes, both triangles have 2 congruent sides and then a congruent angle.
No, the triangles do not match the correct SAS order.
No, there are no congruent angles.
Tags
CCSS.HSG.CO.B.7
CCSS.HSG.CO.B.8
CCSS.HSG.SRT.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
Decide whether enough information is given to prove that the triangles are congruent using SAS Congruence Theorem. Explain.
Yes, both triangles have a congruent angle in between two congruent sides.
Yes, both triangles have 2 congruent sides and then a congruent angle.
No, the triangles do not match the correct SAS order.
No, there are no congruent angles.
Tags
CCSS.HSG.CO.B.6
CCSS.HSG.CO.B.7
CCSS.HSG.CO.B.8
CCSS.HSG.SRT.B.5
3.
MULTIPLE SELECT QUESTION
45 sec • 2 pts
Use the given information to name two congruent triangles. (Remember order matters).
AOB
AOC
BCO
BOC
OAB
Tags
CCSS.HSG.CO.B.6
CCSS.HSG.CO.B.7
CCSS.HSG.CO.B.8
CCSS.HSG.SRT.B.5
4.
MULTIPLE SELECT QUESTION
45 sec • 2 pts
Use the given information to name two congruent triangles. (Remember order matters).
CED
ABE
AEB
CBE
ECB
Tags
CCSS.HSG.CO.B.6
CCSS.HSG.CO.B.7
CCSS.HSG.CO.B.8
CCSS.HSG.SRT.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
Your friend claims that the SAS Congruence Theorem will apply to a triangle and its image after the triangle has been translated, reflected, rotated, and dilated. Is your friend correct? Explain.
Yes, the order of the transformations does not matter.
Yes, you can apply any transformation and the shape will stay the same size.
No, the two triangles will be similar because rotations change the size of the shape.
No, dilation changes the shape of the triangle.
Tags
CCSS.HSG.CO.B.6
CCSS.HSG.CO.B.7
CCSS.HSG.CO.B.8
CCSS.HSG.SRT.A.2
6.
OPEN ENDED QUESTION
3 mins • 2 pts
Evaluate responses using AI:
OFF
Answer explanation
The reflexive property tells us that the middle segment BD is congruent to itself. Then we can say the triangles are congruent because of SAS.
Tags
CCSS.HSG.CO.B.6
CCSS.HSG.CO.B.7
CCSS.HSG.CO.B.8
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