CPM Geometry Chapter 3
Authored by Rachael Duden
Mathematics
9th - 12th Grade
CCSS covered
Used 141+ times
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About
This quiz covers similarity and congruence in geometry, specifically focusing on similar triangles, dilations, and related geometric concepts appropriate for high school geometry students in grades 9-12. The questions assess students' understanding of similarity criteria (AA, SAS, SSS), proportional reasoning with similar figures, coordinate geometry transformations, triangle inequality theorem, and angle relationships. Students need a solid foundation in algebraic problem-solving to work with proportions and ratios, spatial reasoning skills to identify corresponding parts of similar figures, and the ability to apply similarity theorems to determine whether triangles are similar. The core mathematical reasoning involves recognizing that similar figures maintain the same shape while scaling proportionally, understanding that dilations preserve angle measures while changing side lengths by a constant scale factor, and applying the Pythagorean theorem and basic triangle properties to solve for unknown measurements. Created by Rachael Duden, a Mathematics teacher in US who teaches grade 9-12. This assessment serves as an excellent review tool for students working through geometric similarity concepts, making it ideal for chapter tests, homework assignments, or formative assessment during instruction on transformations and similar figures. Teachers can use this quiz as a warm-up activity to activate prior knowledge before introducing new similarity applications, or as targeted practice for students who need additional reinforcement with proportional reasoning and scale factor calculations. The variety of question types - from computational problems requiring algebraic manipulation to conceptual questions about similarity criteria - makes this quiz valuable for differentiated instruction and identifying specific areas where students need additional support. The content aligns with Common Core standards G.SRT.2 (similarity criteria), G.SRT.5 (similar triangles and proportional relationships), and G.CO.2 (transformations and dilations).
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15 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Solve for x.
14
8
7/4
4
Tags
CCSS.HSG.SRT.A.2
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Are the two triangles similar?
Yes, by AA~
Not similar
Yes, by SAS~
Yes, by SSS~
Tags
CCSS.HSG.SRT.B.5
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Solve for x.
21.6
9
10.8
12
Tags
CCSS.HSG.CO.C.9
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Solve for x.
3
5
4
6
Tags
CCSS.3.MD.A.2
5.
MULTIPLE CHOICE QUESTION
15 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
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Sides in similar figures must be proportional.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the perimeter of the large triangle. (First find the missing side length)
Tags
CCSS.HSG.SRT.C.8
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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