Page 96 - Math Course 3 (Book 2)
P. 96
Properties of Isosceles and Equilateral Triangles
Your Turn!
Proof of Theorem
Complete the following two-column proof. Proof:
Given: AD ≅ AB; C is the midpoint of DB. Statements Reasons
Prove: ∠DAC ≅ ∠BAC 1. AD ≅ AB 1. Given
2. Def. of isosceles
A 2. ΔADB is isosceles. triangles
3. ∠B ≅ ∠D 3. Isosceles Δ Theorem
4. C is the midpoint 4. Given
of DB.
5. BC ≅ DC 5. Def. of midpoint
A. SSS B. SAS
C. ASA D. AAS 6. ΔABC ≅ ΔADC 6.____?____
D C B 7. ∠DAC ≅ ∠BAC 7. CPCTC
Answer
Find the Measure of a Missing Angle
If AB ≅ BC; AC ≅ CD and m∠ABC = 80, what is the measure of ∠ADC?
A. 25
B. 35 A
C. 50
D. 130
Answer
B C D
Which statement correctly names two congruent angles?
A. ∠PJM ≅ ∠PMJ J
B. ∠JMK ≅ ∠JKM
C. ∠KJP ≅ ∠JKP
D. ∠PML ≅ ∠PLK
P
M K
Answer
L
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