AABC and ADEF are similar. E B 15 8, A 12 C 16 F (a) Complete the three pairs of proportions below. Ratio of lengths of sides of ΔΑΒC АВ АВ АС = 2 AC ВС ВС Ratio of the lengths of sides of ADEF that correspond ? DF ? to the sides of AABC in DF 4 EF 2 ? the ratio above || || 20

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter5: Rational Numbers And Equations
Section5.4: Multiplying Fractions
Problem 1E
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Question
AABC and ADEF are similar.
E
B
15
8,
A
12
C
16
F
(a) Complete the three pairs of proportions below.
Ratio of lengths of sides of
ΔΑΒC
АВ
АВ
АС
= 2
ВС
AC
ВС
Ratio of the lengths of sides
of ADEF that correspond
?
DF
?
to the sides of AABC in
DF
4
EF
2
?
the ratio above
||
||
20
Transcribed Image Text:AABC and ADEF are similar. E B 15 8, A 12 C 16 F (a) Complete the three pairs of proportions below. Ratio of lengths of sides of ΔΑΒC АВ АВ АС = 2 ВС AC ВС Ratio of the lengths of sides of ADEF that correspond ? DF ? to the sides of AABC in DF 4 EF 2 ? the ratio above || || 20
(b) Choose the correct statement about the answers to part (a).
OIn each pair of proportions, the lengths of the sides of AABC are in the same
ratio as the lengths of the sides of ADEF. This is coincidence. We would usually not
expect this from similar triangles that are not the same size.
OIn each pair of proportions, the lengths of the sides of AABC are in the same
ratio as the lengths of the sides of ADEF. This is because we compared the sides
of ADEF that correspond to the sides of AABC and the triangles are similar.
OIn each pair of proportions, the lengths of the sides of AABC are not in the
same ratio as the lengths of the sides of ADEF. This is because the triangles are
not right triangles.
O In each pair of proportions, the lengths of the sides of AABC are not in the
same ratio as the lengths of the sides of ADEF. This is always true for similar
triangles.
Transcribed Image Text:(b) Choose the correct statement about the answers to part (a). OIn each pair of proportions, the lengths of the sides of AABC are in the same ratio as the lengths of the sides of ADEF. This is coincidence. We would usually not expect this from similar triangles that are not the same size. OIn each pair of proportions, the lengths of the sides of AABC are in the same ratio as the lengths of the sides of ADEF. This is because we compared the sides of ADEF that correspond to the sides of AABC and the triangles are similar. OIn each pair of proportions, the lengths of the sides of AABC are not in the same ratio as the lengths of the sides of ADEF. This is because the triangles are not right triangles. O In each pair of proportions, the lengths of the sides of AABC are not in the same ratio as the lengths of the sides of ADEF. This is always true for similar triangles.
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