Find the area of the following isosceles trapezoid. Round to the nearest tenth. 7.8 m 8.5 m7 10.6 m

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Help with 34, 36, 37, 44, 45 please? 

Problem Set 5.4 277
33. Find the length of the legs in the following isosceles
trapezoid. Round to the nearest hundredth.
6"
B
18
10"
57
34. Find the area of the following isosceles trapezoid.
Round to the nearest tenth.
PROOFS
7.8 m
39. Prove: A square is a rhombus with one right angle.
40. Prove: A square is a rectangle with two adjacent
sides congruent.
8.5 m
41. Prove: A square is a rhombus with congruent
diagonals.
42. Prove: A square is a rectangle with perpendicular
diagonals.
43. Prove: A parallelogram with one right angle is a
rectangle (Theorem 5.27).
106 m
35. In isosceles trapezoid EFGH,EF = 20", FG = 25",
and ZH = 60°, Find EH.
44. Prove: The diagonals of an isosceles trapezoid are
congruent.
45. Prove: If the diagonals of a trapezoid are congru-
ent, then it is an isosceles trapezoid.
36. PQRS is an isosceles trapezoid. If ZTRS = 100°,
ZT = 35°, and PS = TS, find the measures of the
numbered angles.
46. In parallelogram ABCD, BP and CQ are altitudes.
Prove that PBCQ is a rectangle.
B
R
4
APPLICATIONS
37. In isosceles trapezoid WXYZ, X P = 5 in., Y Z =
12 in., XZ 1 W X , and WY 1 YZ Find WZ.
47. While building the frame for a new door, you mea-
sure to determine if the frame is a rectangle. For
each of the following situations, explain whether
you can conclude the frame is a rectangle.
a. You measure and find opposite sides are the
same length.
b. You measure and determine both diagonals are
the same length.
c. You measure one angle and determine it is a
W
Transcribed Image Text:Problem Set 5.4 277 33. Find the length of the legs in the following isosceles trapezoid. Round to the nearest hundredth. 6" B 18 10" 57 34. Find the area of the following isosceles trapezoid. Round to the nearest tenth. PROOFS 7.8 m 39. Prove: A square is a rhombus with one right angle. 40. Prove: A square is a rectangle with two adjacent sides congruent. 8.5 m 41. Prove: A square is a rhombus with congruent diagonals. 42. Prove: A square is a rectangle with perpendicular diagonals. 43. Prove: A parallelogram with one right angle is a rectangle (Theorem 5.27). 106 m 35. In isosceles trapezoid EFGH,EF = 20", FG = 25", and ZH = 60°, Find EH. 44. Prove: The diagonals of an isosceles trapezoid are congruent. 45. Prove: If the diagonals of a trapezoid are congru- ent, then it is an isosceles trapezoid. 36. PQRS is an isosceles trapezoid. If ZTRS = 100°, ZT = 35°, and PS = TS, find the measures of the numbered angles. 46. In parallelogram ABCD, BP and CQ are altitudes. Prove that PBCQ is a rectangle. B R 4 APPLICATIONS 37. In isosceles trapezoid WXYZ, X P = 5 in., Y Z = 12 in., XZ 1 W X , and WY 1 YZ Find WZ. 47. While building the frame for a new door, you mea- sure to determine if the frame is a rectangle. For each of the following situations, explain whether you can conclude the frame is a rectangle. a. You measure and find opposite sides are the same length. b. You measure and determine both diagonals are the same length. c. You measure one angle and determine it is a W
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