Question

On the coordinate plane below, quadrilaterals TRAP and HELP are similar to eachother.

Use the Pythagorean theorem to determine the ratio between sides RA and EL.
A. 2:1
B.5:3
C. 3:2
D. 1:1

Answer 1

The ratio would be A. 2:1

Explanation:

Answer 2

Since HP:PT is 1:2, then the ratio will be applied to all sides. From the picture you can conclude RA is made from 2 horizontal space and 4 vertical space, so EL would be made from 1 horizontal space and 2 vertical space.
Using Pythagorean theorem, the length of RA and LE would be:


RA^2= 4^2 + 2^2 = 16 +4
RA^2= 20
RA= √20

EL^2= 2^2 +1^2 = 4+1
EL^2= 5
EL= √5

RA:EL= √20/√5
RA:EL= (√4*√5)/√5
RA:EL=√4= 2

The ratio would be A. 2:1