TechMathI - 3.2- Parallel Lines and Transversal

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Transcript of TechMathI - 3.2- Parallel Lines and Transversal

Find the line parallel to each slope and set of points.

1. m = 3, (-2, 4)

2. m = ½, (3, 9)

3. y = -2x + 8, (-1, 5)

Transversal- is a line that intersects two or more coplanar lines each in a different point

Corresponding Angles “same spot”

Alternate Interior Angles “inside the z”

Alternate Exterior Angles “outside the z”

Consecutive Interior Angles “back to back inside”

1 2

3 4

5 67 8

1 2

3 4

5 67 8

Corresponding Angles - congruent

Alternate Interior Angles - congruent

Alternate Exterior Angles - congruent

Consecutive Interior Angles - supplementary

1

2

3

4

5

6

7

8

Practice

1. Name a set of vertical angles.

2. Name a set of corresponding angles.

3. Name a set of alternate interior angles.

4. Name a set of alternate exterior angles.

5. Name a set of consecutive interior angles.

1 2

3 4

5 6

7 8

9 1011 12

13 1415 16

You try!

1. Name a set of vertical angles.

2. Name a set of corresponding angles.

3. Name a set of alternate interior angles.

4. Name a set of alternate exterior angles.

5. Name a set of consecutive interior angles.

Practice1

3x + 3

5x + 1

1. Find measure of x.

2. Find measure of <1.2

3

3. Find measure of <2.

4. Find measure of <3.

You try!

1

6x - 9

3x + 3

1. Find measure of x.

2. Find measure of <1.2

3

3. Find measure of <2.

4. Find measure of <3.