USING STRUCTURE Rectangle WXYZhas vertices W(-3,-1),...

USING STRUCTURE Rectangle WXYZhas vertices $\mathrm{W}(-3,-1), \mathrm{X}(-3,3), \mathrm{Y}(5,3),$ and $\mathrm{Z}(5,-1)$ a. Find the perimeter and area of the rectangle.b. Dilate the rectangle using a scale factor of 3. Find the perimeter and area of the dilated rectangle. Compare with the original rectangle. What do you notice? c. Repeat part (b) using a scale factor of $\frac{1}{4}$ . d. Make a conjecture for how the perimeter and area change when a $\square$gure is dilated.

Transcript

00:01 X, y, z has a vertices of w is negative 3, negative 1, x is negative 3, positive 3, y is 5, 3, and z is 5 negative 1.

00:25 So here is my rectangle.

00:29 Find the perimeter and the area of the rectangle.

00:32 So this is a 1, 2, 3, 4, 5, 6, 7, 8 by 1, 2, 3, 4.

00:39 So this is an 8 by 4.

00:42 So the area length times width equals 8 times 4, which is 32 units squared.

00:51 For the perimeter, i'm going to do 2 times the length plus 2 times the base, and that is going to be 2 times 8 plus 2 times 4.

01:05 So that's 16 plus 8, which equals 24 units, is the perimeter.

01:15 Dilate the rectangle using a scale factor of 3.

01:20 So if x is at negative 3, negative 1, i'm sorry, if x is at negative 3, negative 3, then x prime is going to be at negative 9, positive 9.

01:44 And then if w is at negative 3, negative 1, then w prime is going to be at negative 9, negative 3.

02:05 So i'm just going to do that one.

02:08 And then z prime is going to be at, oops.

02:18 Z prime is going to be at negative 15.

02:24 So it's going to go off the charts.

02:26 So i'm going to put negative 15 comma negative 3.

02:31 So we're going to pretend this is just going to erase this.

02:39 So we're going to pretend this is at negative 15, negative 3.

02:43 That's z prime.

02:45 And then y prime is all the way off the charts 2.

02:50 And is at negative 15 negative 3.

02:57 I'm sorry, negative...

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