Post on 12-Jan-2016
You identified isosceles and equilateral triangles.
• Use properties of isosceles triangles.
• Use properties of equilateral triangles.
• legs of an isosceles triangle
• vertex angle
• base angles
Congruent Segments and Angles
A. Name two unmarked congruent angles.
Answer: BCA and A
BCA is opposite BA and A is opposite BC, so BCA A.
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Congruent Segments and Angles
B. Name two unmarked congruent segments.
Answer: BC BD
___BC is opposite D and BD is opposite BCD, so BC BD.
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Since QP = QR, QP QR. By the Isosceles Triangle Theorem, base angles P and R are congruent, so mP = mR . Use the Triangle Sum Theorem to write and solve an equation to find mR.
Find Missing Measures
A. Find mR.
Triangle Sum Theorem
mQ = 60, mP = mR
Simplify.
Subtract 60 from each side.
Divide each side by 2.Answer: mR = 60
A. 30°
B. 45°
C. 60°
D. 65°
A. Find mT.
A. 1.5
B. 3.5
C. 4
D. 7
B. Find TS.
A. x = 20, y = 8
B. x = 20, y = 7
C. x = 30, y = 8
D. x = 30, y = 7
Find the value of each variable.