section 2.4 vertical angles
DESCRIPTION
SECTION 2.4 Vertical 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. VOCABULARY Vertical Angles and Linear Pair. Question: - PowerPoint PPT PresentationTRANSCRIPT
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: