Triangle congruence Shortcuts Practice
Quiz
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Mr. Frazier
Used 162+ times
FREE Resource
About this resource
This quiz focuses on triangle congruence theorems and their applications, making it appropriate for 9th through 10th grade geometry students. The content systematically tests students' understanding of the five major congruence postulates and theorems: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and the invalid cases like SSA and AAA. Students need to demonstrate their ability to analyze given triangle diagrams, identify marked congruent parts, and determine which specific congruence rule applies or whether sufficient information exists to prove congruence. The quiz requires strong visual-spatial reasoning skills, knowledge of geometric notation, and the ability to distinguish between valid and invalid congruence conditions. Students must also understand that some angle-angle-angle relationships or side-side-angle configurations do not guarantee congruence, making this assessment particularly valuable for identifying common misconceptions. Created by Mr. Frazier, a Mathematics teacher in US who teaches grade 9-12. This quiz serves as an excellent formative assessment tool for geometry classes studying rigid transformations and triangle relationships. Teachers can use this as a warm-up activity to gauge student readiness before introducing triangle congruence proofs, or as homework practice to reinforce classroom instruction on congruence theorems. The varied question formats make it ideal for review sessions before unit tests, helping students build confidence in recognizing congruence patterns and avoiding common errors like assuming SSA proves congruence. This assessment directly supports Common Core State Standards G.CO.7 (using the definition of congruence in terms of rigid motions) and G.CO.8 (explaining how the criteria for triangle congruence follow from the definition of congruence), while also addressing G.SRT.5 regarding the use of congruence criteria in proofs and constructions.
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21 questions
Show all answers
1.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Which is NOT a test to prove triangles congruent?
AAS
SSS
SSA
SAS
AAA
Tags
CCSS.HSG.SRT.B.5
2.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
Are these triangles congruent? If so, state the rule which you used to determine congruence.
Tags
CCSS.HSG.SRT.B.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Are these triangles congruent? If so, state the rule which you used to determine congruence.
Congruent by AAA
Congruent by AAS
Congruent by SAS
Not necessarily congruent
Tags
CCSS.HSG.SRT.B.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Are these triangles congruent? If so, state the rule which you used to determine congruence.
Congruent by SSA
Congruent by AAS
Congruent by ASA
Not necessarily congruent
Tags
CCSS.HSG.SRT.B.5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
SLOW DOWN AND READ THE WHOLE THING.
Are these triangles congruent? If so, state the rule or rules which you used to determine congruence.
SAS
SSS
Both SSS and SAS
Not necessarily congruent
Tags
CCSS.HSG.SRT.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Slow down and take a deep look.
Congruent by
Congruent by SSS
Congruent by SAS
not enough information
Congruent by AAS
Tags
CCSS.HSG.SRT.B.5
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Congruent by
Congruent by SSS
Congruent by SAS
Congruent by ASA
Congruent by AAS
Tags
CCSS.HSG.SRT.B.5
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