Q1-In ABC, angle AFB=angle AEC=90. If BF=CE, which of the following must be true?
A)AB=AC
B)AE=CE
C)BF=AF
D)AB=BC
E)none
Q2-In the figure, AD||BC. AB=5 cm and AD=7 cm. If angle BCD=1/2 angle BAD, what is the length of BC in cm?
A)10
B)12
C)17
D)19
E) cannot be determined
Q3-In the figure below, D is the midpoint of AB and E is the midpoint of AC. What is the relation between the area of BFC and the area of ADFE?
A)Area BFC> area ADFE
B)Area BFC= area ADFE
C)Area BFC< area ADFE
D)area ADFE= 1.5 times Area BFC
E) either A or C
please give full explanation and check the figure for reference
A)AB=AC
B)AE=CE
C)BF=AF
D)AB=BC
E)none
Q2-In the figure, AD||BC. AB=5 cm and AD=7 cm. If angle BCD=1/2 angle BAD, what is the length of BC in cm?
A)10
B)12
C)17
D)19
E) cannot be determined
Q3-In the figure below, D is the midpoint of AB and E is the midpoint of AC. What is the relation between the area of BFC and the area of ADFE?
A)Area BFC> area ADFE
B)Area BFC= area ADFE
C)Area BFC< area ADFE
D)area ADFE= 1.5 times Area BFC
E) either A or C
please give full explanation and check the figure for reference
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- for q2
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- for q3
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