Page 98 - Math Course 3 (Book 2)
P. 98
Properties of Isosceles and Equilateral Triangles
△EFG is equilateral, and EH bisects ∠FEG. Which statement correctly names two congruent
EJ bisects ∠HEG. Find m∠EJG. segments?
E A. JP ≅ PL
B. PM ≅ PJ
C. JK ≅ MK
D. PM ≅ PK
F H J G Answer
Linear pairs are
m∠EJH + m∠EJG = 180 supplementary. Use Properties of Equilateral Triangles
75 + m∠EJG = 180 Substitution. B
Subtract 75 from each
m∠EJG = 105
side.
Answer 105 D
1
Your Turn! A 2 C
Congruent Segments and Angles
△ABC is an equilateral triangle. AD bisects ∠BAC.
J Find x.
A. x = 15
B. x = 30
C. x = 60
D. x = 90
P
Answer
M K
L
Which statement correctly names two congruent △ABC is an equilateral triangle. AD bisects ∠BAC.
angles? Find ∠ADB.
A. ∠PJM ≅ ∠PMJ
B. ∠JMK ≅ ∠JKM A. 30
C. ∠KJP ≅ ∠JKP B. 60
D. ∠PML ≅ ∠PLK C. 90
D. 120
Answer
Answer
90
