Chapter 7.6, Problem 21PPS

a.

To determine

To draw the triangle and label it as ADE.

Explanation of Solution

Given:

The dimensions of $△ADE$ are as twice as $△ABC$ .

Calculation:

Let $△ABC$ with vertices $A(0,0)$ , $B(1,3)$ and $C(4,2)$

The following is the triangle ADE with coordinates $A(0,0)$ , $D(2,6)$ and $E(8,4)$

  

b.

To determine

To label the pair MNP and MQR and another pair TWX and TYZ.

Explanation of Solution

The following is the pair MNP and MQR

  

The following is the pair TWX and TYZ.

  

c.

To determine

To complete the table below with the appropriate values.

Explanation of Solution

  

  

  

d.

To determine

To make the conjecture about the predicted coordinates.

Explanation of Solution

Given:

The dimensions of $△ADE$ are as twice as $△ABC$ .

Calculation:

The coordinates of a dilated triangle is multiplied by the scale factor of $n$ if two similar triangles share a corresponding vertex at the origin.