Parallel and Perpendicular Lines

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Presentation transcript:

Parallel and Perpendicular Lines Chapter 3 Parallel and Perpendicular Lines

Section 2 Theorems about Perpendicular Lines

The Geo-Activity above suggests the following theorems about perpendicular lines.

Example 1: Perpendicular Lines and Reasoning In the diagram, r ⊥ s and r ⊥ t. Determine whether enough information is given to conclude that the statement is true. Explain your reasoning. <3 ≅ < 5 <4 ≅ <5 <2 ≅ <3

Checkpoint: Perpendicular Lines and Reasoning In the diagram, g ⊥ e and g ⊥ f. Determine whether enough information is given to conclude that the statement is true. Explain. <6 ≅ <10 2. <7 ≅ <10 <6 ≅ <8 4. <7 ≅ <11 5. <7 ≅ <9 6. <6 ≅ <11

Example 2: Use Theorems About Perpendicular Lines In the helicopter at the right, are <AXB and <CXB right angles? Explain.

Example 3: Use Algebra with Perpendicular Lines In the diagram at the right, EF ⊥ EH and m<GEH = 30°. Find the value of y.

Checkpoint: Use Algebra with Perpendicular Lines Find the value of the variable. Explain your reasoning.

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