Dilations
Authored by Leslie Dulock
Mathematics
8th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on dilations, a fundamental transformation in geometry that falls squarely within the 8th-grade mathematics curriculum. The questions comprehensively assess students' understanding of how to perform dilations with different scale factors, identify the center of dilation (primarily the origin), and calculate coordinates of image points after transformation. Students need to master the core concept that dilations multiply each coordinate by the scale factor, understand that scale factors greater than 1 create enlargements while factors between 0 and 1 create reductions, and recognize the algebraic representation (x, y) → (kx, ky) where k is the scale factor. The quiz also tests vocabulary knowledge including terms like "scale factor," "center of dilation," "enlargement," and "reduction," while requiring students to identify whether given transformations qualify as dilations and to work backwards from an image to determine the original scale factor. Created by Leslie Dulock, a Mathematics teacher in the US who teaches grade 8. This quiz serves as an excellent tool for formative assessment during a dilations unit, allowing teachers to gauge student understanding of both computational skills and conceptual knowledge. The variety of question types makes it versatile for multiple instructional purposes: the vocabulary questions work well as warm-up activities, the coordinate calculation problems provide solid practice opportunities, and the conceptual questions about scale factors and transformations are perfect for reviewing key ideas before summative assessments. Teachers can assign this as independent practice or homework to reinforce classroom instruction, or use it as a diagnostic tool to identify students who need additional support with coordinate transformations. This quiz aligns with Common Core State Standards 8.G.A.3 and 8.G.A.4, which require students to describe the effects of dilations and understand that two-dimensional figures are similar if one can be obtained from the other by dilations and other transformations.
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24 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
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
2.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Tell whether the transformation is a dilation. Explain.
Tags
CCSS.8.G.A.3
CCSS.8.G.A.4
CCSS.8.G.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Tell whether each transformation is a dilation. Explain.
Tags
CCSS.8.G.A.3
CCSS.8.G.A.4
4.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
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
5.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
Tags
CCSS.7.G.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
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
7.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
Tags
CCSS.8.G.A.3
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