Dilations
Authored by Linda Sellers
Mathematics
7th - 8th Grade
CCSS covered
Used 1K+ times
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This quiz comprehensively covers dilations, a fundamental geometric transformation taught in middle school mathematics, specifically at the 7th and 8th grade levels. The questions systematically address all essential aspects of dilations: calculating coordinates of dilated figures using various scale factors, identifying scale factors from given pre-images and images, understanding the algebraic representation (x, y) → (kx, ky), and distinguishing between enlargements and reductions. Students need a solid foundation in coordinate geometry, including plotting and reading points on the coordinate plane, as well as proficiency with operations involving fractions and decimals. The core mathematical reasoning involves understanding that dilations multiply each coordinate by the scale factor, that scale factors greater than 1 create enlargements while factors between 0 and 1 create reductions, and that dilations preserve shape while changing size, resulting in similar figures. Students must also grasp the relationship between similarity and congruence, recognizing that dilations produce similar figures and that only a scale factor of 1 produces congruent figures. Created by Linda Sellers, a Mathematics teacher in the US who teaches grades 7 and 8. This quiz serves multiple instructional purposes throughout the dilation unit, functioning effectively as a comprehensive review tool before assessments or as formative assessment to gauge student understanding of transformation concepts. Teachers can deploy individual questions as warm-up problems to activate prior knowledge or assign the entire quiz as homework to reinforce classroom instruction. The variety of question types—from computational coordinate problems to conceptual understanding of scale factors and vocabulary—makes this quiz particularly valuable for identifying specific areas where students need additional support. This assessment aligns with Common Core State Standards 8.G.A.3, which requires students to describe the effect of dilations on two-dimensional figures using coordinates, and 8.G.A.4, which focuses on understanding similarity in terms of transformations. The quiz also supports standards related to proportional relationships and algebraic thinking as students work with scale factors and coordinate transformations.
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25 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
Tags
CCSS.8.G.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
Tags
CCSS.8.G.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Choose the correct scale factor:
Tags
CCSS.8.G.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
Tags
CCSS.8.G.A.3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Dilate Point B by a scale factor of 3:
Tags
CCSS.8.G.A.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Does the image show a dilation?
Tags
CCSS.8.G.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A dilation is which of the following:
Tags
CCSS.8.G.A.3
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