11-1 Angle and Line Relationships - Shelby County Schools

Name: __________________

Date: __________________

11-1 Angle and Line Relationships

REVIEW: Basic Definitions: Ray ? a part of a line that starts at one endpoint and extends forever. Angle ? is formed by two rays with a common endpoint ? Vertex. Congruent ? same shape and size. Degrees ? units for angle measures.

Section 11-1

Types of Angles: 1. Right angle ? measures exactly 90? 2. Acute angle ? measures less than 90? 3. Obtuse angle ? measures more than 90? and less than 180? 4. Straight angle ? measures exactly 180?

Naming Angles:

PAIRS OF ANGLES 1. Vertical Angles

2. Adjacent Angles

3. Complementary Angles

4. Supplementary Angles

LINES

r

1. Perpendicular lines ? lines in a plane that intersect to form four right angles

2. Parallel lines ? lines in a plane that do not intersect s

3. Transversal line ? a line that intersects two parallel lines t

r

SPECIAL ANGLE RELATIONSHIPS (nonadjacent angles) 1. Alternate Exterior Angles ? angles that are on opposite sides of the transversal and outside the parallel lines

2. Alternate Interior Angles ? angles that are on opposite

sides of the transversal and inside the parallel lines

s

3. Corresponding Angles ? angles that are in the same

position on the parallel lines in relation to the transversal

t

HW: GPA Textbook p. 622 (10-32all)

Name: __________________

Date: __________________

Section 11-1

Ex. 1: Name the angle in four ways X

1

Y

Z

Ex. 2: Classify the pairs of angles shown. Then find the value of x in each figure.

A.

B.

C.

x

113?

134?

x 71.2?

x

Ex: 3: In the figure at the right, r s and w is a transversal. If m 1 = 128?, find the measure of each angle. Explain your reasoning.

w

r

2 1

4 3

s

6 5

8 7

Ex: 4: If m ABD = 164?, find m ABC and m CBD.

C

x

D

A

B

HW: GPA Textbook p. 622 (10-32all)

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