Download Angle Bisector - Verona Public Schools

Section 1.5- Exploring Angle Pairs
Essential Question: How can special angle pairs help us identify geometric relationships
and find angle measures?
Do Now:
Sketch the completed puzzle.
Types of Angle Pairs
Definition
Example
______________ angles

Common ________ and ________
______________ angles

Two angles whose sides are
______________ rays
_______________ angles

Two angles that equal _____
________________ angles

Two angles that equal _____
Example 1:
Identifying Vertical Angles
Use the diagram to answer the following
questions.
1. Are ∠ AFB and ∠ EFD vertical angles?
Explain.
2. Are ∠ AFE and ∠ CFD vertical angles?
Explain.
Example 2: Can you make the conclusion from the information in the diagram?
Example 3:
∠ KPL and ∠ JPL are a linear pair. What are the measures of ∠ KPL and ∠ JPL?
Angle Bisector

ray that divides an angle into two ______________ angles
Example 4: Using an Angle Bisector to Find Angle Measures
⃗⃗⃗⃗⃗⃗⃗
𝐾𝑀 bisects ∠ JKL. If m ∠JKL = 72, what is the m∠ JKM? Draw the figure.
Group Work:
Complete ALL problems.
HW: p. 38-39 #11-23, 25-29 odds, 31-36, 38, 39, 41