Page 136 - Math Course 2 (Book 2)

Triangle Properties of Inequalities

Angle-Side Relationships
Your Turn!
Example Side-Angle Relationships

HAIR ACCESSORIES

Ebony is following directions for folding a
handkerchief to make a bandana for her hair.
After she folds the handkerchief in half, the
directions tell her to tie the two smaller angles
of the triangle under her hair. If she folds the
handkerchief with the dimensions shown, which
two ends should she tie?

22.6
Y Z Determine the relationship between the measures

of ∠ABD and ∠DAB.
A. m∠ABD < m∠DAB
16 16 B. m∠ABD = m∠DAB
C. m∠ABD > m∠DAB
D. cannot be determined

X Answer

Determine the relationship between the measures
Theorem 5.10 states that if one side of a triangle is of ∠AED and ∠EAD.
longer than another side, then the angle opposite
the longer side has a greater measure than the A. m∠AED < m∠EAD
angle opposite the shorter side. Since ∠X is B. m∠AED = m∠EAD
opposite the longest side it has the greatest C. m∠AED > m∠EAD
measure. D. cannot be determined

So, Ebony should tie the Answer
Answer
ends marked Y and Z.
Determine the relationship between the measures
of ∠EAB and ∠EDB.

Angle-Side Relationships A. m∠EAB < m∠EDB
B. m∠EAB = m∠EDB
KITE ASSEMBLY Tanya is following directions C. m∠EAB > m∠EDB
for making a kite. She has two congruent D. cannot be determined
triangular pieces of fabric that need to be sewn
together along their longest side. The directions Answer
say to begin sewing the two pieces of fabric
together at their smallest angles. At which two
angles should she begin sewing?
1.5 ft C
A. ∠A and ∠D B
B. ∠B and ∠F E
C. ∠C and ∠E
D. ∠A and ∠B 1.75ft 2.5 ft
2.5 ft 1.5 ft
Answer
A F
D 1.75ft

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