SECTION 2.4 Vertical Angles
description
Transcript of SECTION 2.4 Vertical Angles
SECTION 2.4Vertical Angles
LEARNING TARGETS:1. Students will be able to use and apply the Vertical Angles Theorem.2. Students will be able to use and
apply the Linear Pair Postulate.
VOCABULARYVertical Angles and Linear Pair
Question:◦What is the relationship between the angles formed by two intersecting lines.
Materials:◦Paper◦Straightedge◦Protractor
Page 74
STEP 1:
STEP 2:
STEP 3:
THINK ABOUT IT
VOCABULARY:
Vertical Angles:◦Two angles that are not adjacent and whose sides are formed by two intersecting lines.
Which of the above angles are vertical?
VOCABULARY:
Linear Pair:◦Two adjacent angles who non-common sides are on the same line.
Which of the above angles are linear pairs?
Example (Notes)
Example (Textbook)
Linear Pair Postulate◦If two angles form a linear pair, then they are supplementary.
Postulate 7:
Example (Notes)Find the measure of ∠ RSU.
Find the measures of HJK∠ and KJN∠ .
Vertical Angles Theorem
Theorem 2.3:
PROOF OF THEOREM:
Example (Textbook)
Example (Notes)Find m∠1, m∠2, and m∠3.
Example (Notes)Find the value of x.
Example (Notes)Find the value of x.
Example (Notes)Find the value of x.
DAILY PUZZLER:When two lines intersect, the measure of one of the angles they form is 20° less than three times the measure of one of the other angles formed. What are the measures of all four angles formed by the two lines?
Vertical Angles WorksheetCooperative Learning:
Section 2.4 AssignmentPage 78 #10-50 EVEN, 51-56 ALL
Due Tuesday, 10/25
HOMEWORK: