SECTION 10.1 CLASS ACTIVITY 10-F Drawing a Parallel Line to Prove That the Angles in a Triangle Add to 180° CCSS CCSS SMP3, 8.G.5 This activity will show you a way to prove that the angles in a triangle add to 180º. 1. Given any triangle with (corner) points A, B, and C, let a, b, and c be the angles in the triangle at A, B, and C, respectively. Consider the line through A parallel to the side BC that is opposite A. What can you say about the three adjacent angles at A that are formed by the triangle and the line through A? What can you conclude about the sum of the angles in the Draw a line parallel to BC through A triangle? 2. What if you used a different triangle in part 1? Would you still reach the same conclusion?
SECTION 10.1 CLASS ACTIVITY 10-F Drawing a Parallel Line to Prove That the Angles in a Triangle Add to 180° CCSS CCSS SMP3, 8.G.5 This activity will show you a way to prove that the angles in a triangle add to 180º. 1. Given any triangle with (corner) points A, B, and C, let a, b, and c be the angles in the triangle at A, B, and C, respectively. Consider the line through A parallel to the side BC that is opposite A. What can you say about the three adjacent angles at A that are formed by the triangle and the line through A? What can you conclude about the sum of the angles in the Draw a line parallel to BC through A triangle? 2. What if you used a different triangle in part 1? Would you still reach the same conclusion?
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1GP
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SECTION 10.1 CLASS ACTIVITY 10-F
Drawing a Parallel Line to Prove That the
Angles in a Triangle Add to 180°
CCSS CCSS SMP3, 8.G.5
This activity will show you a way to prove that the angles in a triangle add to 180°.
1. Given any triangle with (corner) points A, B, and C, let a, b, and be the angles in
the triangle at A, B, and C, respectively. Consider the line through A parallel to the
side BC that is opposite A.
10.1 Lines and Angles
What can you say about the three adjacent angles at A that are formed by the triangle
and the line through A?
What can you conclude about the sum of the angles in the triangle?
Draw a line parallel to
BC through A
2. What if you used a different triangle in part 1? Would you still reach the same
conclusion?
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