Question

How do I do these 4 geometry please help

Answer 1

7) Similar; 8) not similar; 9) ⅔; 10) ⅘

Explanation:

Two polygons are similar if

• their corresponding angles are congruent and
• the ratios of their corresponding sides are equal

7) Trapezoids

Corresponding angles are congruent.

`(30)/(12) = (15.5)/(6.2) = (40 )/(16)} = (5)/(2)`

Corresponding sides are in the same ratio, so the trapezoids are similar.

8) Rectangles

Corresponding angles are congruent.

`\text{Ratio of bases} =(42)/(35) = (7)/(5)\\\\\text{Ratio of sides} =(24)/(25)`

The ratios are different, so the rectangles are not similar.

In similar polygons, the ratio of the lengths of their corresponding sides (the scale factor) is the same.

9. Quadrilaterals

`\text{Scale factor} = (10)/(15) = \mathbf{(2)/(3)}`

10. Trapezoids

`\text{Scale factor} = (16)/(20) = \mathbf{(4)/(5)}`