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Are We Similar?

Authored by Ashlee Roberts

Mathematics

9th - 12th Grade

CCSS covered

Used 260+ times

Are We Similar?
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About

This quiz focuses on triangle similarity, the fundamental concept in high school geometry where students learn to identify when two triangles have the same shape but not necessarily the same size. Appropriate for grades 9-10, the assessment evaluates students' understanding of the three similarity criteria: AA (Angle-Angle), SAS (Side-Angle-Side), and SSS (Side-Side-Side) similarity theorems. Students must analyze given triangles, determine which similarity criterion applies, and write proper similarity statements that correctly match corresponding vertices. The quiz also tests proportional reasoning through problems involving side ratios and angle measures in triangles. Students need solid knowledge of triangle properties, angle relationships, proportional thinking, and the ability to write mathematical statements using proper notation. Success requires understanding that similarity preserves angle measures and creates proportional side lengths, while also demonstrating precision in ordering vertices to show corresponding parts correctly. Created by Ashlee Roberts, a Mathematics teacher in US who teaches grade 9-12. This comprehensive assessment serves multiple instructional purposes, from diagnostic evaluation to summative assessment of triangle similarity concepts. Teachers can use this quiz as a warm-up activity to gauge student readiness before introducing new similarity applications, or as formative assessment during the unit to identify areas needing reinforcement. The variety of similarity criteria tested makes it excellent for homework assignments where students can practice recognition skills independently, while the inclusion of proportional reasoning problems supports review sessions before major assessments. The quiz effectively addresses Common Core standards HSG.STS.A.2 (similarity criteria for triangles) and HSG.STS.B.4 (triangle similarity theorems), while also supporting HSG.STS.A.3 through proportional reasoning applications that connect similarity to real-world problem solving.

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22 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine whether the triangles are similar. If similar, state how and write a similarity statement.

SAS~
ΔEFG ΔRTS\Delta EFG\ \sim\ \Delta RTS

SAS~
ΔEFG ΔTSR\Delta EFG\ \sim\ \Delta TSR

SAS~
ΔEFG ΔSRT\Delta EFG\ \sim\ \Delta SRT

Not ~

Tags

CCSS.HSG.SRT.B.5

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine whether the triangles are similar. If similar, state how and write a similarity statement.

SSS~
ΔVWU ΔLNM\Delta VWU\ \sim\ \Delta LNM

SSS~
ΔVUW ΔLNM\Delta VUW\ \sim\ \Delta LNM

SSS~
ΔVWU ΔMLN\Delta VWU\ \sim\ \Delta MLN

Not ~

Tags

CCSS.HSG.SRT.B.5

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine whether the triangles are similar. If similar, state how and write a similarity statement.

AA~
ΔAEB ΔDCB\Delta AEB\ \sim\ \Delta DCB

AA~
ΔABE ΔDCB\Delta ABE\ \sim\ \Delta DCB

AA~
ΔAEB ΔCDB\Delta AEB\ \sim\ \Delta CDB

Not ~

Tags

CCSS.HSG.SRT.B.5

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine whether the triangles are similar. If similar, state how and write a similarity statement.

SSS~
ΔQPR ΔXPY\Delta QPR\ \sim\ \Delta XPY

SAS~
ΔQPR ΔXPY\Delta QPR\ \sim\ \Delta XPY

SSS~
ΔQRP ΔPXY\Delta QRP\ \sim\ \Delta PXY

Not ~

Tags

CCSS.HSG.SRT.B.5

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine whether the triangles are similar. If similar, state how and write a similarity statement.

AA~
ΔLKM ΔKJN\Delta LKM\ \sim\ \Delta KJN

AA~
ΔKML ΔJKN\Delta KML\ \sim\ \Delta JKN

AA~
ΔMLK ΔJNK\Delta MLK\ \sim\ \Delta JNK

Not ~

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine whether the triangles are similar. If similar, state how and write a similarity statement.

SAS~
ΔTDS ΔFDE\Delta TDS\ \sim\ \Delta FDE

SAS~
ΔTSD ΔDFE\Delta TSD\ \sim\ \Delta DFE

SAS~
ΔTSD ΔDEF\Delta TSD\ \sim\ \Delta DEF

Not ~

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine whether the triangles are similar. If similar, state how and write a similarity statement.

AA~
ΔXYZ ΔHJG\Delta XYZ\ \sim\ \Delta HJG

AA~
ΔXZY ΔJHG\Delta XZY\ \sim\ \Delta JHG

AA~
ΔYZX ΔJHG\Delta YZX\ \sim\ \Delta JHG

Not ~

Tags

CCSS.HSG.SRT.B.5

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