section 1.5 – exploring angle pairs
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Section 1.5 – Exploring Angle Pairs. Students will be able to: identify special angle pairs and use their relationships to find angle measures Key Vocabulary adjacent angles vertical angles complementary angles supplementary angles linear pair angle bisector. - PowerPoint PPT PresentationTRANSCRIPT
SECTION 1.5 – EXPLORING ANGLE PAIRSStudents will be able to:• identify special angle pairs and use
their relationships to find angle measures
Key Vocabularyadjacent angles vertical angles
complementary angles supplementary angles
linear pair angle bisector
SECTION 1.5 – EXPLORING ANGLE PAIRS
Definition Example Graphic
Adjacent Angles:
2 coplanar angles with a common side, a common vertex, and no common interior points
Vertical angles:
2 angles whose sides are opposite rays.
Section 1.5 – Exploring Angle Pairs
Definition Example Graphic
Complementary angles:
2 angles whose measures have a sum of 90. Each angle is called the complement of each other
Supplementary angles:
2 angles whose measures have a sum of 180. Each angle is called the supplement of the other
And
SECTION 1.5 – EXPLORING ANGLE PAIRSProblem 1:
Use the diagram at the right. Is the statement true? Explain
a. <AFE and <CFD are vertical angles.
b. <BFC and <DFE are supplementary.
c. <BFD and <AFB are adjacent angles.
Concept Check
• From an unmarked diagram, we can conclude if angles are
• You cannot conclude from an unmarked diagram
SECTION 1.5 – EXPLORING ANGLE PAIRSProblem 2:
What can you conclude from the information in the diagram?
SECTION 1.5 – EXPLORING ANGLE PAIRSProblem 2b:
Can you make each conclusion from the information in the diagram? Explain.
a. TWQ is a right angle
b. bisects
SECTION 1.5 – EXPLORING ANGLE PAIRSA linear pair is a pair of adjacent angles whose noncommon
sides are opposite rays. The angles of a linear pair form
a _________________.
SECTION 1.5 – EXPLORING ANGLE PAIRSProblem 3:
<DEC and <FEC are a linear pair. What are the measures of
SECTION 1.5 – EXPLORING ANGLE PAIRSAn angle bisector is a ray that divides an angle into
two congruent angles.
Its endpoint is a the _________________.