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Perpendicular and Angle Bisectors

Authored by Lauren Gibson

Mathematics

9th - 10th Grade

CCSS covered

Used 197+ times

Perpendicular and Angle Bisectors
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About

This quiz focuses on perpendicular and angle bisectors within the context of high school geometry, specifically targeting 9th and 10th grade students. The questions assess students' understanding of fundamental geometric concepts including the definitions and properties of perpendicular bisectors and angle bisectors, the measurement of angles and segments created by these bisectors, and the application of bisector theorems. Students need to demonstrate proficiency in several core areas: recognizing and applying the perpendicular bisector theorem (which states that any point on the perpendicular bisector of a segment is equidistant from the endpoints), understanding that angle bisectors divide angles into two congruent parts, calculating segment lengths and angle measures using algebraic methods, and identifying perpendicular relationships that form 90-degree angles. The mathematical reasoning required includes setting up and solving equations based on geometric relationships, applying the concept that perpendicular lines intersect to form right angles, and using the properties of bisectors to find unknown measurements in geometric figures. Created by Lauren Gibson, a Mathematics teacher in the US who teaches grades 9 and 10. This quiz serves as an excellent tool for reinforcing theoretical knowledge through practical application, making it ideal for multiple instructional purposes throughout a geometry unit on bisectors. Teachers can effectively use this resource as a warm-up activity to activate prior knowledge before introducing more complex concepts, as guided practice during direct instruction to help students apply newly learned theorems, or as independent homework to solidify understanding outside the classroom. The quiz format also makes it particularly valuable for formative assessment, allowing educators to quickly identify which students have mastered the fundamental concepts and which may need additional support before moving on to more advanced geometric proofs and constructions. The content directly supports Common Core State Standards G-CO.9 (proving theorems about lines and angles) and G-CO.12 (making formal geometric constructions), while also reinforcing algebraic skills outlined in A-REI.3 (solving linear equations and inequalities).

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18 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find SV

18
36
21
9

Tags

CCSS.HSG.CO.C.9

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Find HG

28
14
41
7

Tags

CCSS.HSG.CO.C.9

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find LK

3
5
-3
6

Tags

CCSS.HSG.CO.C.9

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find PQ

10
3
-2
5

Tags

CCSS.HSG.CO.C.9

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Find AD AND BC

5;12
16;4
12; 16
5;16

Tags

CCSS.HSG.CO.C.9

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What is the length of DC

4
1
2
3

Tags

CCSS.HSG.CO.C.9

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A line, segment, or ray that divides an angle in half

Perpendicular bisector
Vertical angles
Angle bisector
Midsegment

Tags

CCSS.7.G.B.5

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