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Geometry - Big Ideas - Ch. 4

Mathematics

9th - 12th Grade

CCSS covered

Used 125+ times

Geometry - Big Ideas  - Ch. 4
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This quiz comprehensively covers Chapter 4 geometric transformations and similarity, targeting students in grades 9-12. The content focuses on four fundamental transformations: reflections across the x-axis and y-axis, translations using coordinate notation, rotations about the origin, and dilations with given scale factors. Students must demonstrate mastery of transformation rules, such as understanding that reflecting over the y-axis changes (x,y) to (-x,y), and that dilations multiply coordinates by the scale factor. The quiz also addresses line symmetry, requiring students to identify lines of symmetry in geometric figures and letters. The second major concept area covers similar figures, where students must recognize that similar triangles have congruent corresponding angles and proportional corresponding sides, write similarity statements using proper vertex correspondence, calculate scale factors between similar figures, and solve for missing side lengths using proportional relationships. Created by a mathematics teacher in the United States who teaches grades 9-12, this quiz serves as an excellent formative assessment tool for students studying geometric transformations and similarity. Teachers can deploy this quiz as a chapter review before summative assessments, use individual sections as daily warm-ups to reinforce specific transformation types, or assign it as homework to gauge student readiness for more advanced concepts. The varied question formats make it ideal for identifying specific areas where students need additional support, whether in applying transformation rules, understanding the properties of similar figures, or solving proportional relationships. This assessment aligns with Common Core standards 9-12.G.SRT.2 for similarity transformations, 9-12.G.SRT.5 for using congruence and similarity criteria, and 8.G.3 for describing the effects of dilations, translations, rotations, and reflections on geometric figures using coordinates.

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21 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Point (-1,2) is reflected over the y axis. Where is the new point located?

(1,2)

(-1,-2)

(-1,2)

(1,-2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which rule would result in a translation of 2 units left and 3 units up?

(x, y) → (2x, 3y)
(x, y) → (x - 2, y + 3)
(x, y) → (-x, -y)
(x, y) → (x + 2, y - 3)

Tags

CCSS.HSG.CO.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The rule for reflection over the y-axis is  
(x, y) --> _

(-x, y)
(x, -y)
(y, x)
(-y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What would the new point be if you rotated the point (3,-5) 90° about the origin?

a. (-3,-5)

b. (-5,-3)

c. (5,3)

d. (3,-5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the line x = 4 look like?

horizontal (going left and right)
Vertical (going up and down)

Tags

CCSS.5.G.A.2

6.

MULTIPLE CHOICE QUESTION

3 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)

A'(9,9) B'(18,18) C'(27,9)
A'(6,6) B'(9,9) C'(12,6)
A'(0,0) B'(3,3) C'(6,0)
A'(1,1) B'(2,2) C'(3,1)

Tags

CCSS.8.G.A.3

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Dilate Point B by a scale factor of 3:

(12,0)
(12,12)
(4,3)
(0,12)

Tags

CCSS.8.G.A.3

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