Quiz about Perpendicular Bisector Chord

Question 1

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

Accepted Answer

Reflexive Property of Congruence

Answer

Angles that form a linear pair are supplementary.

Answer

Angles of Equal Measure are Congruent

Answer

Definition of a Perpendicular Bisector

Question 2

Question 2.

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 3

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

Accepted Answer

The bisector will intersect at (0,2).

Answer

The slope of the bisector is 5/2.

Answer

The bisector passes through (-3,2).

Answer

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

Question 4

Find the measure of $$\overline{AD}$$ if $$\overline{BD}$$ is a perpendicular bisector.

Accepted Answer

23

Answer

12

Answer

11.5

Answer

6

Question 5

If ZT is a perpendicular bisector, what conclusions can be made?

Accepted Answer

$$\overline{XT}\ \perp\ \overline{ZT}$$

Accepted Answer

$$\overline{XT}\cong\overline{YT}$$

Answer

$$\angle XZT\cong\angle YZT$$

Answer

$$\angle X\cong\angle Y$$

Question 6

Identify the perpendicular bisector.

Accepted Answer

$$\overline{TP}$$

Answer

$$\overline{RS}$$

Answer

$$\overline{TR}$$

Answer

$$\overline{ST}$$

Question 7

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

Accepted Answer

it is perpendicular to the chord

Answer

it is a secant

Answer

it is parallel to the chord

Answer

it is just shaking out the sillies

Question 8

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

Accepted Answer

it bisects BOTH the chord and its arc

Answer

it bisects the chord

Answer

it bisects the corresponding arc

Answer

none of these answers are correct

Question 9

In a circle, the perpendicular bisector of a chord:

Accepted Answer

is the diameter

Answer

is tangent to the circle

Answer

is a right triangle

Answer

eats frosted flakes for dinner

Question 10

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

Accepted Answer

$$y+4=2y+1$$ 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.

Answer

$$2y+1=\ 5x-18$$ 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.

Answer

$$y+3=3x-4$$ 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.

Answer

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

Question 11

Find the value of x.

Accepted Answer

3

Answer

15

Answer

13

Answer

6

Question 12

Determine the value of x and y.

Accepted Answer

$$x=64^{\circ\ }$$ and $$y=4$$

Answer

$$x=4$$ and $$y=64^{\circ}$$

Answer

$$x=116^{\circ}$$ and $$y=4$$

Answer

$$296^{\circ}$$ and $y=4$

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