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# Unit 1. day 14

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### Unit 1. day 14

1. 1. Warm-Up Set-up the proportion and solve for the missing measurement. 1. 2.
2. 2. Essential Question Why do we need to use proportions sometimes when working with dilations?
3. 3. Angle Pairs Unit 1, Day 14
4. 4. Common Core GPS MCC8. G. 5: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
5. 5. Language of the Standards Alternate Interior Angles: pairs of angles formed when a third line (a transversal) crosses two other lines. These angles are on opposite sides of the transversal and are in between the other two lines. When the two other lines are parallel, the alternate interior angles are equal. Linear Pair: adjacent, supplementary angles. A linear pair forms a straight line. Same-side Interior angles: pairs of angles formed when a third line (a transversal) crosses two other lines. These angles are on the same side of the transversal and are between the other two lines. When the two other lines are parallel, same-side interior angles are supplementary.
6. 6. Same-side Exterior Angles: pairs of angles formed when a third line (a transversal) crosses two other lines. These angles are on the same side of the transversal and are outside the other two lines. When the two other lines are parallel, same-side exterior angles are supplementary. Transversal: a line that crosses two or more lines.
7. 7. Alternate Exterior Angles: pairs of angles formed when a third line (a transversal) crosses two other lines. These angles are on opposite sides of the transversal and are outside the other two lines. When the two other lines are parallel, the alternate interior angles are equal. Corresponding Angles: “cut and paste” angles, pairs of angles formed when the parallel lines are “cut” in the middle and the angles are placed on top of one another. These angles have congruent measurements. Adjacent Angles: angles are beside each other. They share a vertex and a ray.
8. 8. Vertical Angles: Angles that are across from each other when you have two intersecting lines. They have congruent measurements.
9. 9. Make a list Let’s make a list of the angles that are congruent in measurement and those that are supplementary. Now let’s discuss their measurements.
10. 10. Angle Pairs and Measurements
11. 11. Solving for x.
12. 12. Solve for y.
13. 13. Solve for y. How many degrees is angle 2? 2
14. 14. Solve for y. How many degrees is angle 4? 2
15. 15. Work Session: _____1] angle 1 is adjacent with what angle? _____2] angle 6 is same-side interior with what angle? _____3] angle 1 is corresponding with what angle? _____4] angle 4 is alternate interior with what angle? _____5] angle 7 is vertical to what angle? _____6] angle 8 is alternate exterior to what angle? _____7] angle 2 is a same side exterior angle with what angle?
16. 16. Closing… What did you learn from this task? Did you help with any of the transformations?