Date post: | 17-Dec-2015 |
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Insight 360™ is eInstruction’s classroom instruction system that allows you to interact with your students as they learn, quickly gaining insight into student understanding during class so you can adjust instruction in real-time during a single class session.Use this content, designed specifically for use with Insight 360™, to interact with your class. This content includes brief instructional material and two types of activities:
Constructed Response Activity for students to complete as an individual or a group assignment. Send each Constructed Response Activity to the Insight 360 iPad Student App.Assessment Item with CueTag™ for students to respond to via student response devices. Receive instant real-time feedback and longitudinal reports.
Teacher Notes
Two angles that lie between two lines and on the opposite sides of a third line are called alternate interior angles.In the drawing below, 3 and 6 would be alternate interior angles since they are inside the blue parallel lines and on opposite (alternate) sides of the transversal (red line).
Angles 4 and 5 are also alternate interior angles.
Definition of Alternate Interior Angles
1 23 4
5 6
7 8
Based on what you know about alternate interior angles, which angles would be alternate exterior angles?
Alternate Exterior Angles
1 23 4
5 6
7 8
Based on what you know about alternate interior angles, which angles would be alternate exterior angles?
Angles 1 and 8 are alternate exterior angles. Angles 2 and 7 are alternate exterior angles.
Alternate Exterior Angles
1 23 4
5 6
7 8
Based on what you know about alternate interior angles, which angles would be same-side or consecutive interior angles?
Same-side or Consecutive Interior Angles
1 23 4
5 6
7 8
Based on what you know about alternate interior angles, which angles would be same-side or consecutive interior angles?
Angles 3 and 5 are same-side interior angles.Angles 4 and 6 are same-side interior angles.
Same-side or Consecutive Interior Angles
1 23 4
5 6
7 8
Corresponding angles lie on corresponding sides of the two lines and on the same side of the third line. Angles 1 and 5 are corresponding angles. What other pairs of angles are corresponding angles?
Corresponding Angles
1 23 4
5 6
7 8
Corresponding angles lie on corresponding sides of the two lines and on the same side of the third line. Angles 1 and 5 are corresponding angles. What other pairs of angles are corresponding angles?
Angles 3 and 7, angles 2 and 6, and angles 4 and 8 are also pairs of corresponding angles.
Corresponding Angles
1 23 4
5 6
7 8
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Corresponding Angles Postulate
1 23 4
5 6
7 8
If two lines are parallel, prove alternate interior angles are congruent.
Given: m nProve: 4 5
Prove alternate interior angles are congruent.
1 23 4
5 6
7 8n
m
m n Given
If two lines are parallel, prove alternate interior angles are congruent.
Given: m nProve: 4 5Answers may vary.
Prove alternate interior angles are congruent.
m n Given1 5 Corresponding angles are congruent.1 4 Vertical angles are congruent.4 5 Substitution
1 23 4
5 6
7 8
m
n
If m n and a b, find all the angles congruent to 6.
Congruent Angles Activity
1 23 4
5 67 8
9 1011 12
13 1415 16
m
n
a b
If m n and a b, find all the angles congruent to 6.
2, 3, 7, 10, 11, 14, 15
Congruent Angles Activity
1 23 4
5 67 8
9 1011 12
13 1415 16
m
n
a b
Create your own problem to find a missing angle measure using parallel lines and alternate interior angles. Your problem must include the following:• a diagram• given information• 3 or more steps to solve
Create Your Own
Create your own problem to find a missing angle measure using parallel lines and alternate interior angles. Your problem must include the following:• a diagram• given information• 3 or more steps to solveAnswers will vary.
Create Your Own
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