Chapter 3 Retest

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Chapter 3 Retest

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Give an example of corresponding angles.

a.	and	c.	and
b.	and	d.	and

Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin strings. Find x and y in the diagram.

a.		c.
b.		d.

In the figure,

. Find .

a.		c.
b.		d.

In the figure,

and

. Find the measure of angle YSV.

a.	85	c.	75
b.	65	d.	95

Draw two lines and a transversal such that

1 and

2 are alternate interior angles,

2 and

3 are corresponding angles, and

3 and

4 are alternate exterior angles. What type of angle pair is

1 and

a.	1 and 4 are vertical angles.
b.	1 and 4 are supplementary angles.
c.	1 and 4 are alternate exterior angles.
d.	1 and 4 are corresponding angles.

Find m

a.	m = 40º	c.	m = 35º
b.	m = 45º	d.	m = 50º

Given:

Prove:

Complete the proof.

Proof:

Statements	Reasons
1.	1. Given
2.	2. [1]
3.	3. Substitution (Steps 1 and 2)
4.	4. [2]

a.	[1] Vertical Angle Theorem [2] Converse of the Same-Side Interior Angles Theorem
b.	[1] Vertical Angle Theorem [2] Same-Side Interior Angles Theorem
c.	[1] Vertical Angle Theorem [2] Converse of the Same-Side Exterior Angles Theorem
d.	[1] Converse of the Same-Side Interior Angles Theorem [2] Vertical Angle Theorem

Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.

a.	; congruent corresponding angles
b.	; congruent alternate interior angles
c.	; congruent alternate interior angles
d.	; congruent corresponding angles

a.	; congruent alternate exterior angles
b.	; congruent alternate exterior angles
c.	; congruent corresponding angles
d.	; congruent corresponding angles

10.

Use the slope formula to determine the slope of the line containing points A(–3, –6) and
B(7, –4).

a.		c.	undefined
b.		d.	0

Write an equation in slope-intercept form of the line having the given slope and y-intercept.

11.

a.		c.
b.		d.

Determine the slope of the line that contains the given points.

12.

a.		c.
b.		d.

Refer to the figure below.

13.

Name all segments skew to

a.		c.
b.		d.

14.

Find m

a.	m =	c.	m =
b.	m =	d.	m =

Write an equation in point-slope form of the line having the given slope that contains the given point.

15.

a.		c.
b.		d.

16.

In a swimming pool, two lanes are represented by lines l and m. If a string of flags strung across the lanes is represented by transversal t, and x = 10, show that the lanes are parallel.

a.	; The angles are same-side interior angles and they are supplementary, so the lanes are parallel by the Converse of the Same-Side Interior Angles Theorem.
b.	; The angles are corresponding angles and they are congruent, so the lanes are parallel by the Converse of the Corresponding Angles Postulate.
c.	; The angles are alternate interior angles, and they are congruent, so the lanes are parallel by the Converse of the Alternate Interior Angles Theorem.
d.	; The angles are alternate interior angles and they are congruent, so the lanes are parallel by the Alternate Interior Angles Theorem.