The isosceles trapezoids, abcd and efgh, are similar quadrilaterals. the scale factor between the trapezoids is 2: 3, gh = 6 centimeters, ad = 8 centimeters, and ab is three times the length of dc. use complete sentences to answer the following prompts and include all of your calculations in your final answer.

1. write a similarity statement for each of the four pair of corresponding sides.
2. write a congruence statement for each of the four pair of corresponding angles.
3. determine the perimeter for each of the isosceles trapezoids.

Answer Number 1; Line AB is similar to line EF

Line BC is similar to line FG

Line CD is similar to line GH

Line DA is similar to line HE

Step-by-step explanation: First and foremost both quadrilaterals are similar but of varying dimensions. If we label both trapezoids as ABCD and EFGH respectively, then it follows that the corresponding lines (as stated in the answer above) would also be similar.

Same applies to the four angles in the interior of the trapezoids.

Number 2, Angle A equals Angle E

Angle B equals Angle F

Angle C equals Angle G

Angle D equals Angle H

Number 3,

If the scale factor between both figures is 2:3, then for every length of a side in figure ABCD, the corresponding side in figure EFGH would be multiplied by 3/2.

Therefore if AD is 8cm, then EH equals 8 × 3/2

That gives us 12cm.

If GH is 6cm, then DC equals 6 × 2/3. That gives us 4cm.

If AB is 3 times the length of DC, then AB equals 3 × 4, that gives us 12cm.

If AB is 12cm, then EF equals 12 × 3/2. That gives us 18cm.

Take note that the shapes are both isosceles trapezoids, o we have two sides of equal length, AD and BC in the first figure and then EH and FG in the other figure.

The first trapezoid has sides 8cm, 12cm, 8cm and 4cm. The perimeter is given as 8+12+8+4= 32cm.

The second trapezoid has sides 12cm, 18cm, 12cm and 6cm. The perimeter is given as 12+18+12+6= 48cm.