Similar Figures and Scale Factor
Authored by Rebecca Morgan
Mathematics
7th - 8th Grade
CCSS covered
Used 193+ times
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This quiz comprehensively covers similar figures and scale factor, which is a fundamental geometry topic typically taught in grades 7-8. The questions assess students' understanding of the properties of similar figures, including the fact that corresponding angles are congruent and corresponding sides are proportional. Students need to master the concept that similar figures have the same shape but different sizes, and they must be able to identify corresponding sides and angles between similar figures. The core mathematical reasoning involves setting up and solving proportions to find missing side lengths, calculating scale factors between similar figures, and applying proportional relationships to real-world scenarios. Students must understand that when the scale factor is greater than one, the new figure is an enlargement, and when it's less than one, the figure is a reduction. The quiz also integrates practical applications such as shadow problems and typing rates, requiring students to recognize proportional relationships beyond geometric contexts and solve them using cross-multiplication or equivalent ratios. Created by Rebecca Morgan, a Mathematics teacher in US who teaches grade 7-8. This quiz serves multiple instructional purposes and can be effectively used as a formative assessment tool, homework assignment, or review activity after teaching the unit on similar figures and proportional reasoning. The variety of question types—from basic vocabulary and conceptual understanding to multi-step problem solving—makes it ideal for differentiating instruction and identifying areas where students need additional support. Teachers can use this as a warm-up activity to gauge prior knowledge or as practice before a summative assessment. The real-world applications embedded throughout the quiz help students connect mathematical concepts to practical situations, reinforcing the relevance of proportional reasoning. This assessment aligns with Common Core State Standards 7.G.A.1, which focuses on solving problems involving scale drawings and scale factors, and 7.RP.A.2, which addresses recognizing and representing proportional relationships between quantities.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The two right triangles below are similar. What is x, the missing side length in triangle DEF?
Tags
CCSS.HSG.SRT.A.2
2.
MULTIPLE CHOICE QUESTION
45 sec • 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
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
All angles in similar figures are congruent.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find missing side
Tags
CCSS.HSG.SRT.A.2
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The pair of figures is similar. Find the missing side.
Tags
CCSS.HSG.SRT.A.2
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the perimeter of the large triangle.
Tags
CCSS.7.G.B.6
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