Question

You will use this same picture for the following questions below:
A(−3, −2), B(4, −2), C(−3, 3) and A'(−6, -2), B'(8, −2), C'(−6, 8)
Question 2
#9: Find the length of side AB.(1 point)
AB = 7

Question 3
#10: Find the length of side AC.(1 point)
AC= 5

Question 4
#11: Which expression correctly represents the length of side BC?(1 point)
Responses

72+52−−−−−−√

square root of 7 squared plus 5 squared end root

52−72−−−−−−√

square root of 5 squared minus 7 squared end root

72+(−5)2−−−−−−−−−√

square root of 7 squared plus negative 5 squared end root

142+102−−−−−−−−√

square root of 14 squared plus 10 squared end root
Question 5
#12: Find the length of side A′B′.(1 point)
A′B′ = 14

Question 6
#13: Find the length of side A'C'.(1 point)
A′C′ = 10

Question 7
#14: Find the length of side B'C'. Please simplify the radical to its simplest form. NO DECIMALS! DO NOT ROUND!(1 point)
B′C′ =

Question 8
#15: Which ratio compares corresponding sides A′B′ to AB?(1 point)
Responses

714

7 over 14

147

14 sevenths

105

10 fifths

21

2 over 1
Question 9
#16: (3 points) Complete the 3 ratios of corresponding sides:(1 point)
A′B′AB=

(Hint: it is the same answer as the question above:) )
Question 10
(1 point)
A′C′AC
=
Question 11
(1 point)
B′C′BC
=
Question 12
#17: What is the scale factor from △ABC to △A′B′C′?(1 point)
Responses

1/2
1/2

1
1

2
2

4
4
Question 13
#18: Which triangle similarity criterion was used to prove the triangles are similar?(1 point)
Responses

AA
AA

SAS
SAS

SSS
SSS

HL

Answer 1

#9 AB = 7

#10 AC = 5

#11 Correct expression for BC: √(7^2 + 5^2) (so BC = √74)

#12 A′B′ = 14

#13 A′C′ = 10

#14 B′C′ = 2√74

#15 A′B′ : AB = 14/7

#16 Ratios of corresponding sides:
- A′B′/AB = 14/7 = 2
- A′C′/AC = 10/5 = 2
- B′C′/BC = (2√74)/(√74) = 2

#17 Scale factor from △ABC to △A′B′C′ = 2

#18 Similarity criterion used: SSS