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This line is called a transversal.

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Presentation on theme: "This line is called a transversal."— Presentation transcript:

1 Parallel Lines and angle relationships pick up 3 different colored highlighters

2 This line is called a transversal.
Angles marked in blue appear to be congruent to each other and angles marked in red appear to be congruent to each other. 7 8 2 1 3 4 6 5 7 8 This line is called a transversal. It’s called a transversal because it Crosses over parallel lines.

3 Which angles seem to be congruent?
1, 3, 5, and 7 are congruent  2, 4, 6, and 8 are congruent 150° 30° 30° 150° 150° 180° – 150° = 30° 30° 30° 150° If the m  1 is 150° then what is the measure of angles 3, 5 and 7? What is the measure of angles 2, 4, 6, 8? How did you figure out that answer?

4 If two lines are intersected by a transversal and any of the angle pairs shown below are congruent, then the lines are parallel. This fact is used in the construction of parallel lines.

5 3 and 5 4 and 6 1 and 7 2 and 8 1 and 5 2 and 6 3 and 7 4 and 8
The corresponding angles are….. The alternate interior angles are…… The alternate exterior angles are….. 1 and 5 2 and 6 3 and 7 4 and 8 3 and 5 4 and 6 1 and 7 2 and 8

6 Complementary angles Supplementary angles Vertical angles 2 1 3 6 4 5
2 angles that add up to 90º 2 and 3 5 and 6 2 2 or more angles that add up to 180º 1 3 1 and 2 and 3 4 and 5 and 6 6 4 5 2 and 3 and 4 5 and 6 and 1 3 and 4 and 5 6 and 1 and 2 2 angles that sit across from each other and are equal in measure 1 and 4 6 and 3 2 and 5

7 This line is called a _________________
Angles marked in _________ appear to be congruent to each other and angles marked in _________ appear to be congruent to each other. 2 1 7 3 4 6 5 8 7 8 This line is called a _________________ It’s called a _____________ because it crosses over parallel lines.

8 180°- 150°= 30° Which angles seem to be congruent?
1, 3, 5, and 7 are congruent  2, 4, 6, and 8 are congruent 150° 30° 30° 150° 30° 180°- 150°= 30° 30° 150° 150° If the m  1 is _____° then what is the measure of angles 3, 5 and 7? What is the measure of angles 2, 4, 6, 8? How did you figure out that answer?

9 If two lines are intersected by a transversal and any of the angle pairs shown below are congruent, then the lines are parallel. This fact is used in the construction of parallel lines.

10 The corresponding angles are…..
The alternate interior angles are…… The alternate exterior angles are…..

11 Complementary angles Supplementary angles 2 Vertical angles 1 3 6 4 5
2 angles that add up to ______º 2 1 3 2 angles that add up to _______º 6 4 5 2 angles that sit _________ from each other and are _________ in measure


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