Dilation Practice
Mathematics
8th Grade
CCSS covered
Used 591+ times
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This quiz focuses on dilations in coordinate geometry, a fundamental transformation concept in 8th grade mathematics. The questions systematically assess students' understanding of how scale factors affect coordinate points when the center of dilation is at the origin. Students must master the core concept that dilation multiplies each coordinate by the scale factor: (x, y) → (kx, ky), where k represents the scale factor. The problems require students to apply this rule in both directions - finding image coordinates when given a scale factor, and determining the scale factor when given pre-image and image coordinates. Students also need to understand that scale factors greater than 1 create enlargements, scale factors between 0 and 1 create reductions, and that dilations preserve shape while changing size. The quiz includes conceptual questions about transformation vocabulary (pre-image vs. image) and the nature of dilations as either enlargements or reductions, ensuring students grasp both computational skills and theoretical understanding. This quiz was created by a classroom teacher who designed it for students studying coordinate geometry transformations in 8th grade. The comprehensive question set makes this resource highly versatile for multiple instructional purposes throughout a dilation unit. Teachers can use individual problems as warm-up exercises to activate prior knowledge, assign sections for guided practice during direct instruction, or deploy the entire quiz as a formative assessment to gauge student understanding before summative evaluation. The varied question formats - from basic coordinate transformations to visual recognition and vocabulary definitions - support differentiated instruction and allow teachers to identify specific areas where students need additional support. This quiz effectively addresses Common Core standards 8.G.A.3 (describing the effect of dilations on two-dimensional figures using coordinates) and 8.G.A.4 (understanding congruence and similarity using transformations), providing teachers with a practical tool to measure student mastery of essential geometric transformation concepts.
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19 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 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
2.
MULTIPLE CHOICE QUESTION
1 min • 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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Choose the correct scale factor:
Tags
CCSS.8.G.A.3
4.
MULTIPLE CHOICE QUESTION
1 min • 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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
Tags
CCSS.8.G.A.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Dilate Point B by a scale factor of 1/2
Tags
CCSS.8.G.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Dilate Point B by a scale factor of 3:
Tags
CCSS.8.G.A.3
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