Download ANSWERS FOR 9.4 2. According to the AA Similarity Postulate

ANSWERS
FOR
9.4
For use with pages 554–557
9.4 Guided Practice
2. According to the AA
Similarity Postulate, since
two angles of one triangle
are congruent to two angles
of the other triangle, the two
triangles are similar.
4. false
6. true
8. true
10. a 2; b 23
9.4 Practice and Applications
12. x 5; y 52
14. 22
16. c 5; d 53
18. m 12; p 63
20. 6
22. 12.7 in.
24. 27.7 ft3
26. 17.3 m2
Geometry Answer Transparencies
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28. about 1.7 cm
30. y 23; x 4 cm
32. Going from left to right:
triangle 1
34. n 1
36. Construct ADC congruent
to ABC. B D,
BAC CAD, because
they are corresponding parts
of congruent triangles.
Therefore mD 60 and
mCAD 30.
mBAD mBAC
mCAD 30 30 60. BAD is
equiangular so it is also equilateral. Since it is equilateral,
AB 2a. If BC a and
AB 2a, then
AC 2a2 a2 3
a.
The side lengths are
in the following ratio:
hypotenuse:longer leg:
shorter leg: 2a: 3 a:a.
Therefore, in a
306090 triangle, the
hypotenuse is twice as long
as the shorter leg and the
longer leg is 3 times as
long as the shorter leg.
38. 28.4 cm
40. The pattern of the lengths is
1
, where n the number
2n
of the stage.
148
ANSWERS
FOR
9.4 (CONT.)
For use with pages 554–557
9.4 Mixed Review
42. 14 9 > third leg; third
leg 9 > 14;
5 < third leg < 23
44. P8, 3
46. B0, 10
48. SAS Similarity Theorem
Math & History
2. 2ab b2 2ab a2 c2
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
a2 b2 c2
149