In a circle, if a diameter bisects a chord (that is not a diameter), then:

it is perpendicular to the chord

it is just shaking out the sillies

In a circle, if a diameter is is perpendicular to a chord, then:

it bisects BOTH the chord and its arc

it bisects the corresponding arc

none of these answers are correct

Use the diagram of circle A. Which expression and deductive reasoning can be used to find the value of y?

$$y+4=2y+1$$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is divided into two equal halves.

$$2y+1=\ 5x-18$$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is equal to its corresponding arc.

$$y+3=3x-4$$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is equal to its corresponding arc.

$$y+4+2y+1$$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chords are added together.

Determine if the following expression is true or false. Why?

The expression $$3x-4=5x-18$$ is true because if a diameter is perpendicular to a chord, it is the bisector of the chord and its arcs.

The expression 3x-4=5x-18 3 x − 4 = 5 x − 1 8 is true because if a radius is perpendicular to a chord, it is the bisector of the chord and its arcs.

The expression $$3x-4=5x-18$$ is false because if a diameter is perpendicular to a chord, it is the bisector of the chord only.

The expression $$3x-4=5x-18$$ is false because if a diameter is perpendicular to a tangent line, it is the bisector of the diameter.

Perpendicular Bisector Chord

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

20 questions

Show all answers

FILL IN THE BLANK QUESTION

1 min • 1 pt

Find the radius of the circle. Round to the nearest tenth.
(Do not include units.)

Tags

CCSS.HSG.C.A.2

FILL IN THE BLANK QUESTION

1 min • 1 pt

Find AC. (Do not include units.)

Tags

CCSS.HSG.C.A.2

FILL IN THE BLANK QUESTION

1 min • 1 pt

Find RS.

Tags

CCSS.HSG.C.A.2

FILL IN THE BLANK QUESTION

1 min • 1 pt

Find RS.
Round to the nearest hundredth.

Tags

CCSS.HSG.C.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the given proof, what is the reason for step 1?

Angles that form a linear pair are supplementary.

Angles of Equal Measure are Congruent

Reflexive Property of Congruence

Definition of a Perpendicular Bisector

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which statement about the perpendicular bisector of this segment is true?

The bisector will intersect at (0,2).

The slope of the bisector is 5/2.

The bisector passes through (-3,2).

The equation of the bisector is y=-2/5x + 2

Tags

CCSS.HSG.GPE.B.6

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

16 questions

Ch1: Measurement, Estimating

Quiz

•

University

20 questions

Grade 10-Gallium

Quiz

•

10th Grade

17 questions

Week 13 MCQ Madness

Quiz

•

9th - 12th Grade

16 questions

Bell Work 1/30

Quiz

•

7th Grade - University

15 questions

Bell Work 1/27

Quiz

•

7th Grade - University

15 questions

Thì quá khứ

Quiz

•

7th - 11th Grade

15 questions

BOOKS OF PRIME ENTRY_CASHBOOK

Quiz

•

9th Grade - University

20 questions

AP Statistics Vocabulary Quiz Chapters 1,2,3

Quiz

•

12th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

11 questions

FOREST Effective communication

Lesson

•

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

23 questions

CCG - CH8 Polygon angles and area Review

Quiz

•

9th - 12th Grade

15 questions

Module 3 Topic 1 Vocabulary Quiz

Quiz

•

10th Grade

20 questions

Domain and Range Spiral Review

Quiz

•

9th - 12th Grade

15 questions

Characteristics of Quadratics

Quiz

•

9th - 10th Grade

20 questions

Triangle Proportionality Theorem

Quiz

•

9th - 10th Grade

10 questions

Dividing a polynomial by a monomial

Quiz

•

10th - 12th Grade

Perpendicular Bisector Chord