Alternate Interior Angles High School Geometry Aligned to Common Core State Standards
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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
Based on what you know about alternate interior angles, which angles would be alternate exterior angles? Alternate Exterior Angles
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
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
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
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
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
If two parallel lines are cut by a transversal, then corresponding angles are congruent. Corresponding Angles Postulate
If two lines are parallel, prove alternate interior angles are congruent. Given: m n Prove: 4 5 Prove alternate interior angles are congruent n m m n Given
If two lines are parallel, prove alternate interior angles are congruent. Given: m n Prove: 4 5 Answers may vary. Prove alternate interior angles are congruent. m n Given 1 5 Corresponding angles are congruent. 1 4 Vertical angles are congruent. 4 54 5 Substitution m n
If m n and a b, find all the angles congruent to 6. Congruent Angles Activity m n ab
If m n and a b, find all the angles congruent to 6. 2, 3, 7, 10, 11, 14, 15 Congruent Angles Activity m n ab
Given m n, find the value of x. 104 (5x+4) 68 m n
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 solve Answers will vary. Create Your Own
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