1) A dilation maps triangle HIJ onto triangle H'I'J. If HI= 7 cm, IJ= 7 cm, I’J’= 5.25 cm, and H’J= 9 cm, the find HJ.

Question

a. 4.08 cm^^^
b. 6.75 cm
c. 9 cm
d. 12 cm

2) if A' is the image of a(3, 4) after a dilation with scale factor 7 centered at the origin, what is the distance between A and A’!
a. 7 units
b. 28 units
c. 30 units^^^
d. 35 units

Answer 1

HJ/H'J' = IJ/I'J'
so,
HJ/9 = 7/5.25 = 12

A=(3,4)
A'=(21,28)
√((21-3)^2+(28-4)^2 = √(18^2+24^2) = 30

Answer 2

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Answer 3

A dilation maps \bigtriangleup \mathrm{H}\mathrm{I}\mathrm{J}△HIJ onto \bigtriangleup \mathrm{H}'\mathrm{I}'\mathrm{J}'△H
′
I
′
J
′
. If \mathrm{H}\mathrm{I}=8\ \mathrm{i}\mathrm{n}.HI=8 in., \mathrm{H}'\mathrm{I}'=16\ \mathrm{i}\mathrm{n}.H
′
I
′
=16 in. and \mathrm{I}\mathrm{J}=5\ \mathrm{i}\mathrm{n}.IJ=5 in., then \mathrm{I}'\mathrm{J}'I
′
J
′
==