AnswersMathematics IIUsing Triangle Similarity Theorems

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Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE What is EC ? BD over DA is equal to BE over EC 5 thirds is equal to 4 over EC

A
2 units
B
3 point 7 5 units
C
3 units
D
2 point 4 units
2
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Using the side-splitter theorem, which segment length would complete the proportion? the fraction with numerator mathrm cap g cap h and denominator mathrm cap h cap e is equal to the fraction with numerator ? and denominator mathrm cap j cap f

A
GF
B
GJ
C
JH
D
EF
3

Use the converse of the side-splitter theorem to determine if mathrm cap t cap u is parallel to mathrm cap r cap s Which statement is true?

A
Line segment TU is parallel to line segment RS because 32 over 45 is equal to 40 over 36 .
B
Line segment TU is not parallel to line segment RS because 32 over 36 is not equal to 40 over 45 .
C
Line segment TU is not parallel to line segment RS because 32 over 45 is not equal to 40 over 36 .
D
Line segment TU is parallel to line segment RS because 32 over 36 is equal to 40 over 45 .
4

What is the length of line segment AJ if line segment AB is parallel to line segment JK ?

A
10 point 2 5 in.
B
8 in.
C
8 point 7 5 in.
D
14 in.
5

What is SA ?

A
6 m
B
4 m
C
2 m
D
3 m
6

What is the length of line segment DC ?

A
6 units
B
2 units
C
3 units
D
9 units
7

What is GF ?

A
16 cm
B
6 cm
C
4 cm
D
8 cm
8

What is the perimeter of triangle AEB ?

A
18 point 5 ft
B
16 point 4 ft
C
22 point 9 ft
D
18 point 7 ft
9

If line segment CD is parallel to line segment XZ and CX is equal to 5 units, what is DZ ?

A
3 units
B
4 units
C
5 units
D
2 units
10

What is DM ?

A
30 cm
B
22 cm
C
76 cm
D
38 cm

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