Quiz 6-1: Ratios & Similar Figures
Authored by Lindsey Showers
Mathematics
9th Grade
CCSS covered
Used 1+ times
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This quiz focuses on ratios and similar figures, core topics in high school geometry appropriate for 9th grade students. The questions assess students' understanding of proportional relationships in two main contexts: angle measures in triangles and corresponding parts of similar geometric figures. Students need to demonstrate mastery of setting up and solving proportions, understanding that the sum of angles in any triangle equals 180 degrees, and recognizing the constant ratio relationships that exist between corresponding sides and angles in similar triangles. The mathematical reasoning required includes algebraic manipulation of ratios, cross-multiplication techniques, and the ability to identify corresponding parts in similar triangles using proper notation and similarity statements. Created by Lindsey Showers, a Mathematics teacher in the US who teaches grade 9. This assessment serves as an excellent tool for evaluating student comprehension after introducing the fundamental concepts of similarity and proportional reasoning. Teachers can deploy this quiz as a formative assessment to gauge student readiness before advancing to more complex similarity applications, or as a summative evaluation following direct instruction on ratios and similar figures. The varied question formats, including both multiple choice and numeric response items, make it versatile for homework assignments, classroom practice, or formal testing situations. This quiz aligns with Common Core standards 9.G.A.2 and 9.G.A.3, which require students to experiment with transformations and understand similarity in terms of transformations, while also supporting standards focused on proportional relationships and geometric reasoning.
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6 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1. The ratio of the measures of the three angles in a triangle is 14:5:11. What are the measures of the angles?
70°, 25°, 85°
84°, 30°, 66°
56°, 20°, 104°
98°, 35°, 47°
None of these
Tags
CCSS.8.G.A.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3. If the figures below are similar, find the scale factor of Figure B to Figure A.
1/3
3
3/4
4/3
None of these
Tags
CCSS.HSG.SRT.A.2
CCSS.8.G.A.4
3.
MATH RESPONSE QUESTION
2 mins • 1 pt
5. If ΔABC ~ ΔAVW, find the values of x.
Write the numeric answer only.
Mathematical Equivalence
ON
Tags
CCSS.HSG.SRT.A.2
4.
MATH RESPONSE QUESTION
2 mins • 1 pt
If ΔPQR ~ ΔUTV, find the value of x.
Mathematical Equivalence
OFF
Tags
CCSS.HSG.SRT.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If ΔGFE ~ ΔCBE, find FE.
FE = 35
FE = 10
FE = 39
FE = 30
None of these
Tags
CCSS.HSG.SRT.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If ΔSDE ~ ΔSWT, find WT.
WT = 70
WT = 12
WT = 63
None of these
Tags
CCSS.HSG.CO.C.9
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