Question

HELP ASAP!!

Determine which pair of polygons are similar

Answer 1

Not similar

Not similar

Similar

Explanation:

Similar Polygons

If two polygons are similar their:

• corresponding sides are always in the same ratio.
• corresponding angles are the same size.

Pair of right triangles

If the given pair of right triangles are similar, their corresponding sides will be in the same ratio:

`\implies 5:3=12:4=13:5`

`\implies (5)/(3)= (12)/(4)= (13)/(5)`

`\implies 1.67\\eq 3 \\eq 2.6`

Therefore, as the corresponding sides are not in the same ratio, the right triangles are not similar.

Pair of isosceles triangles

If the given pair of isosceles triangles are similar, their corresponding sides will be in the same ratio:

`\implies 10:5=10:5=6:6`

`\implies (10)/(5)=(10)/(5)=(6)/(6)`

`\implies 2 =2 \\eq 1`

Therefore, as the corresponding sides are not in the same ratio, the isosceles triangles are not similar.

Pair of rectangles

If the given pair of rectangles are similar, their corresponding sides will be in the same ratio:

`\implies 1:2=5:10`

`\implies (1)/(2)=(5)/(10)`

`\implies (1)/(2)=(5 / 5)/(10 / 5)`

`\implies (1)/(2)=(1)/(2)`

Therefore, as the corresponding sides are in the same ratio, the rectangles are similar.