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Geometry Unit 3 Review

Authored by Alyson Degnan

Mathematics

9th - 12th Grade

CCSS covered

Used 96+ times

Geometry Unit 3 Review
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About

This quiz covers parallel lines, transversals, and coordinate geometry, representing core concepts from high school geometry typically taught in grades 9-10. Students need a solid foundation in angle relationships formed when parallel lines are cut by transversals, including alternate interior angles, alternate exterior angles, corresponding angles, and same-side interior angles. The problems require students to identify these angle pairs, solve algebraic equations to find unknown angle measures, and apply the converse of parallel line theorems to determine when given conditions force lines to be parallel. Additionally, students must demonstrate proficiency with coordinate geometry skills including calculating slopes, writing equations of lines, solving systems of linear equations, and determining whether lines are parallel, perpendicular, or neither based on their slopes. The algebraic components involve solving quadratic equations, linear equations, and understanding that parallel lines have equal slopes while perpendicular lines have slopes that are negative reciprocals. Created by Alyson Degnan, a Mathematics teacher who teaches grades 9-12. This comprehensive review quiz serves multiple instructional purposes, functioning effectively as a unit assessment, homework assignment, or structured review session before a summative exam. Teachers can utilize individual sections for targeted practice on specific concepts or assign the complete quiz as a formative assessment to identify areas where students need additional support. The variety of question types allows for differentiated instruction, with some problems focusing on conceptual understanding of angle relationships while others emphasize computational skills and algebraic manipulation. This quiz aligns with Common Core standards G-CO.9 (proving geometric theorems about lines and angles) and G-GPE.5 (proving slope criteria for parallel and perpendicular lines), providing students with essential practice in both theoretical understanding and practical application of parallel line properties and coordinate geometry relationships.

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25 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Angle 1 and Angle 3 are an example of...

Alternate Exterior
Alternate Interior
Linear Pair
Corresponding

Tags

CCSS.8.G.A.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the values of x and y.

x=20
y=3
x=-20
y=-157

Tags

CCSS.7.G.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Angle 5 and angle 2 are an example of...

Alternate Interior
Alternate Exterior
Same Side Interior
None

Tags

CCSS.8.G.A.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Angle 1 and angle 16 are an example of...

Alternate Interior
Alternate Exterior
Consecutive Interior
None

Tags

CCSS.8.G.A.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

line e // line d
and line a // line b // line c 
if angle 11=2x+15 and angle 6=6x-49 find the measure of angle 11.

angle 11=47
angle 11=133
angle 11=31
angle 11=16

Tags

CCSS.8.G.A.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Angle 1 = x2-14x
Angle 14 = -7x-10
Solve for both values of x.

x = -5, -2
x = 5, 2
x = -5, 2
x = 5, -2 

Tags

CCSS.7.G.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

If angle 3 = angle 10 which two lines MUST be parallel? 

d // e
a // b
b // c
none

Tags

CCSS.8.G.A.5

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