Question

ABCD and EFGH are quadrilaterals. GivenABCD – EFGH, describe a sequence of rigidmotions followed by a dilation with center (0,0)that maps ABCD to EFGH. Describe the sequence. Select the correctchoice below and fill in the answer boxes tocomplete your choice.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

quadrilaterals

ABCD ===> EFGH

sequence = ?

Step 02:

We must analyze the graph to find the correct sequence.

1 . ABCD

reflection y-axis

(x , y) ===> (-x, y)

A ( 2, 0) ===> (-2 , 0)

B (4 , 3) ===> (-4 , 3)

C (2 , 4) ===> (-2 , 4)

D (0 , 3) ===> (0 , 3)

2. translation

letf ===> 6 units

down ===> 8 units

3. dilation

scale factor ===> 1.25

8 * x = 10

x = 10 / 8 = 5 / 4 = 1.25

That is the full solution.