What does congruent mean?

corresponding sides and angles are congruent

corresponding sides are proportional and corresponding angles are congruent

neither sides or angles are congruent

Given the two triangles, which statement is true by CPCTC?

∠ B A C ≅ ∠ F D E \angle\ BAC\ \cong\ \angle\ FDE ∠ B A C ≅ ∠ F D E

∠ A C B ≅ ∠ D F E \angle ACB\ \cong\ \angle\ DFE ∠ A C B ≅ ∠ D F E

∠ C A B ≅ ∠ F E D \angle CAB\ \cong\angle FED ∠ C A B ≅ ∠ F E D

∠ A B C ≅ ∠ D E F \angle ABC\ \cong\ \angle\ DEF ∠ A B C ≅ ∠ D E F

Given the two triangles, which congruence statement is NOT true?

Δ A B C ≅ Δ D E F \Delta ABC\ \cong\Delta\ DEF Δ A B C ≅ Δ D E F

A B ≅ D F AB\ \cong\ DF A B ≅ D F

D E ≅ A C DE\ \cong\ AC D E ≅ A C

Δ A B C ≅ Δ D F E \Delta\ ABC\ \cong\ \Delta DFE Δ A B C ≅ Δ D F E

Geometry IM Unit 2- Practice Test

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSG.CO.B.7, HSG.SRT.B.5, 8.G.A.3

+3

Standards-aligned

Brittany Johnson

Used 227+ times

FREE Resource

About this resource

This Geometry practice test focuses on triangle congruence and transformations, core concepts typically covered in 10th grade high school geometry. The assessment evaluates students' understanding of congruence postulates (SAS, SSS, ASA, AAS), their ability to write correct congruence statements with proper vertex correspondence, and their knowledge of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). Students must demonstrate mastery of identifying corresponding angles and sides between congruent triangles, determining which information is needed to prove congruence using specific postulates, and applying angle relationships within triangles. The quiz also tests understanding of rigid transformations—translations, rotations, and reflections—that preserve congruence, while distinguishing these from dilations that create similar but not congruent figures. Students need strong spatial reasoning skills to visualize transformation sequences and solid foundational knowledge of geometric notation and terminology. Created by Brittany Johnson, a Mathematics teacher in the US who teaches grade 10. This comprehensive practice test serves as an excellent formative assessment tool to gauge student readiness before unit tests or standardized assessments. Teachers can utilize this quiz for review sessions, homework assignments, or as a diagnostic tool to identify specific areas where students need additional support with triangle congruence proofs. The variety of question types—from basic definitional understanding to complex application problems—makes it versatile for differentiated instruction and spiral review throughout the geometry course. This assessment directly aligns with Common Core standards G-CO.7 (using the definition of congruence in terms of rigid motions), G-CO.8 (explaining congruence criteria for triangles), and G-SRT.5 (using congruence criteria to solve problems), ensuring students develop the geometric reasoning skills essential for advanced mathematics courses.

Tags

CCSS.HSG.CO.B.7

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Geometry IM Unit 2- Practice Test

15 questions

Which is a correct congruence statement.

Name the corresponding angle or side.

Name the corresponding angle or side.

State if the two triangles are congruent. If they are, state how you know.

State if the two triangles are congruent. If they are, state how you know.

State if the two triangles are congruent. If they are, state how you know.

∠ABC≅ ?

What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

What sequence of transformations will get you from shape 1 to shape 3 in two steps?

What sequence of transformations will get you from shape BCD to shape B"C"D" in two steps?

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