Model It A dilation may change a figure's size. In a dilation, corresponding angles are
Complete the problems about dilating a figure.
congruent and corresponding side lengths are related by the same scale factor.
Complete the table to determine whether figures Q, R, and S are dilations of figure P.
Corresponding
angles are
congruent
Corresponding
sides are
multiplied by the
same scale factor
Dilation
of P?
• RHOP
S
Figure
Q
R
S

i think its a and d

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x

sounds & other waves originate from any vibrating object