Dilations and Similarity
Authored by Kimberly Lambert
Mathematics
8th Grade
CCSS covered
Used 216+ times
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About
This quiz focuses on the geometric concepts of dilations and similarity, which are fundamental topics in Grade 8 mathematics. The questions assess students' understanding of how dilations transform figures by enlarging or reducing them while preserving shape, and how this transformation creates similar figures. Students need to master several core concepts to succeed with these problems: understanding that dilations multiply coordinates by the scale factor when centered at the origin, recognizing that similar figures have proportional corresponding sides and congruent corresponding angles, and distinguishing between similarity and congruence. The quiz also incorporates coordinate geometry skills, requiring students to calculate slopes and write equations for lines. Students must understand that dilations preserve angle measures and the relationships between lines (such as perpendicularity) while changing only the size of the figure. The mathematical reasoning involves proportional thinking, coordinate transformations, and the ability to identify corresponding parts in similar figures. Created by Kimberly Lambert, a Mathematics teacher in the US who teaches grade 8. This quiz serves as an excellent tool for both formative and summative assessment of students' mastery of geometric transformations and similarity concepts. Teachers can use this quiz as a warm-up activity to gauge student readiness before introducing more complex similarity problems, or as homework to reinforce classroom instruction on dilations and coordinate transformations. The variety of question types makes it particularly effective for review sessions before unit tests, allowing students to practice both computational skills and conceptual understanding. The quiz effectively supports instruction by covering multiple representations of the same concepts – from coordinate calculations to visual recognition of similar figures. This assessment aligns with Common Core standards 8.G.A.3 (describing the effect of dilations on two-dimensional figures) and 8.G.A.4 (understanding similarity in terms of transformations), while also incorporating elements of 8.EE.B.6 through the slope calculation problems that connect geometric transformations to linear relationships.
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28 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the value of X?
Tags
CCSS.HSG.SRT.A.2
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Are the triangles similar?
Tags
CCSS.HSG.SRT.A.2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Are the triangles similar?
Tags
CCSS.HSG.SRT.A.2
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
When you dilate a figure you...
Tags
CCSS.8.G.A.3
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The pair of figures is similar. Find the missing side.
Tags
CCSS.HSG.SRT.A.2
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
How does a dilation change the angles of a polygon?
Tags
CCSS.8.G.A.3
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
Tags
CCSS.8.G.A.3
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