Similar Triangles
Mathematics
9th - 12th Grade
CCSS covered
Used 1K+ times
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About
This quiz comprehensively covers similar triangles, a fundamental topic in high school geometry appropriate for grades 9-10. Students demonstrate mastery of triangle similarity theorems (AA, SAS, SSS), proportional reasoning with corresponding sides, scale factors, and real-world applications through indirect measurement problems. The questions require students to distinguish between similarity and congruence, set up and solve proportions to find missing side lengths, identify similarity criteria by analyzing given angle and side information, and apply similarity concepts to practical scenarios like measuring tree heights using shadows or mirrors. Students must understand that similar figures have congruent corresponding angles and proportional corresponding sides, calculate scale factors between similar figures, write proper similarity statements with correct vertex correspondence, and solve multi-step problems involving perimeter calculations and complex proportional relationships. This quiz was created by a classroom teacher who designed it for students studying similar triangles in grades 9-12. This comprehensive assessment serves multiple instructional purposes, from formative assessment during initial concept introduction to summative evaluation of student mastery. Teachers can utilize individual questions as warm-up problems to activate prior knowledge about proportional relationships, assign sections for homework practice after introducing specific similarity theorems, or deploy the entire quiz as a unit review before high-stakes assessments. The varied question types—from conceptual true/false questions to complex application problems—make this resource valuable for differentiated instruction and identifying specific areas where students need additional support. The quiz aligns with Common Core standards G-SRT.2 (similarity criteria), G-SRT.3 (triangle similarity theorems), and G-SRT.5 (similarity in right triangles), providing teachers with a robust tool for measuring student progress toward these essential geometric reasoning standards.
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45 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Yes, they are similar by SAS.
No, they're not similar.
Yes, they're similar by AA
Yes, they are similar by SSS.
Tags
CCSS.HSG.SRT.B.5
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Two objects that are the same shape but not the same size are _______.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
All angles in similar figures are congruent.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Tags
CCSS.HSG.CO.C.9
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Tags
CCSS.HSG.CO.C.9
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Yes, they're similar by AA.
Yes, they are similar by SAS.
No, they're not similar.
Yes, they are similar by SSS.
Tags
CCSS.HSG.SRT.B.5
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