Do Now: 1. Take out HW. 2. Copy down HW. 3. What are all the theorems we use to prove 2 lines are...
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Do Now: 1. Take out HW. 2. Copy down HW. 3. What are all the theorems we use to prove 2 lines are parallel?
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Transcript of Do Now: 1. Take out HW. 2. Copy down HW. 3. What are all the theorems we use to prove 2 lines are...
Do Now:1. Take out HW.2. Copy down HW.3. What are all the theorems we use to prove 2 lines are parallel?
5 cards5 cards
Fold one piece of patty paper in
quartersWhat do we know about the 4 angles created?
Theorem 3.9
If two lines are perpendicular, then they intersect to form 4 right angles.
Theorem 3.8
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
Patty Paper
Fold the paper in quarters, then fold one of the quarters in half.
Theorem 3.10
If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Patty Paper
Fold two parallel lines, then fold a third line that is perpendicular to one of the first lines.
Theorem 3.11: Perpendicular Transversal
TheoremIf a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other.
Theorem 3.12: Lines Perpendicular to a Transversal
TheoremIf two lines are perpendicular to the same line, then they are parallel to each other.
Example 1: Which Theorem Justifies the
Statement?
1
2
Example 2: Explain how you would show that the lines are
parallel.
1
2
Example 3: Find the value of x
8x-2
22◦
Exit Slip: Draw the diagram. Which lines
are parallel?
