AnswersAZ-Geometry A MA201Using Triangle Similarity Theorems

Week 8: Proving Triangles Similar Answers

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Which statements are true? Select three options. (The formula for the area of a triangle is A = bh.)

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A
BC = 6 cm
B
AC = 5 cm
C
BA = 4 cm
D
The perimeter of triangle ABC = 12 cm.
E
The area of triangle ABC is the area of triangle DEF.
Option E
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Triangle D E F is cut by line segment A B. Line segment A B goes from side D E to side F E. Lines D F and A B are parallel. The length of A B is 4.2 feet, the length of D A is 2 feet, the length of F B is 2.4 feet, and the length of B E is 7.8 feet.

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A
16.4 ft
B
18.5 ft
C
18.7 ft
D
22.9 ft
3

Triangle A B C is cut by line segment D E. Line segment D E goes from side A B to B C. Lines A C and D E are parallel. The length of A D is 3, the length of D B is 5, the length of B E is 4, and the length of E C is question mark. StartFraction B D Over D A EndFraction = StartFraction B E Over E C EndFraction. StartFraction 5 Over 3 EndFraction = StartFraction 4 Over E C EndFraction

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A
2 units
B
2.4 units
C
3 units
D
3.75 units
4

Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel.

Question illustration
A
GF
B
JH
C
GJ
D
EF
5

Points J and K are midpoints of the sides of triangle FGH.

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A
2
B
5
C
7
D
8
6

Triangle Q R S is cut by line segment V W. Point V is the midpoint of side Q S and point W is the midpoint of side R S. The length of Q R is 3 a + 6, the length of V W is 2 a minus 2, and the length of V S is 2 a.

Question illustration
A
4 units
B
8 units
C
10 units
D
20 units
7

Triangle X Y Z is cut by line segment C D. Line segment C D goes from side X Y to side Y Z. The length of C D is 15, the length of X Z is 18, the length of C Y is 25, and the length of Y D is 20. Lines C D and X Z are parallel.

Question illustration
A
2 units
B
3 units
C
4 units
D
5 units
8

Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9.

Question illustration
A
2 units
B
3 units
C
6 units
D
9 units
9

Consider the proof.Given: Segment AB is parallel to line DE. Prove:

Question illustration
A
AC = BC
B
StartFraction A C Over D C EndFraction = StartFraction B C Over E C EndFraction
Option B
C
AD = BE
D
StartFraction A D Over D C EndFraction = StartFraction B E Over E C EndFraction
Option D
10

Points A and B are midpoints of the sides of triangle QRS.

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

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