Question

Find XFind yThe trapezoids shown below are similar. Find the length of x and y.10x 14Solve for X4 holy/2 1014Solve for y4(4x4) 11977 (10x2) 142Х[X=1.616/10l y- 2014y = 519) X1.6520) y=21) What scale factor was used to create the image of the new trapezoid? (figure 1+figure 2)Record your answer and fill in the bubbles. Be sure to use the correct place value.

Answer 1

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

so

Find the value of x

applying proportion

4/x=10/4

or

x/4=4/10

x=16/10

x=1.6

Find the value of y

y/2=10/4

y=5

Find the scale factor

In this problem we have an enlargement,

that means ------> the scale factor is greater than 1

Divide 10/4=2.5

the scale factor is 2.5