Question

Layla plotted points P, Q, and R to represent the vertices of a triangle as shown in the figure below.
What should Layla do to make triangle PQR a right isosceles triangle?

Move Q to a point on segment AB beyond the arc.

Move R to the point of intersection of segment AB and the arc.

Move R to the left of segment AB beyond the arc.

Move Q to the point of intersection of segment AB and the arc.

Answer 1

choice A is incorrect

Answer 2

@jim_thompson5910 How would I go about the right answer??

Answer 3

hint: you want a right isosceles triangle, so you need a right angle

Answer 4

@jim_thompson5910 I'm thinking B or D

Answer 5

what is the relationship between AB and XY

Answer 6

@jim_thompson5910 They intersect each other

Answer 7

what else

Answer 8

@jim_thompson5910 They make a right angle when they intersect and they are perpendicular?

Answer 9

exactly, they make a right angle

Answer 10

so you have a right angle RPA

Answer 11

this means that any point on AB will form a right angle with XY

Answer 12

so we have that requirement

we wan an isosceles triangle, so where on AB should this point go?

Answer 13

want*

Answer 14

@jim_thompson5910 To the point of intersection?

Answer 15

of AB and what

Answer 16

@jim_thompson5910 & the arc?

Answer 17

yep

Answer 18

anything on the arc is guaranteed to make an isosceles triangle

Answer 19

@jim_thompson5910 So that means that it's D? :)

Answer 20

yep, you got it

Answer 21

it has to be a) on AB and b) on the arc

Answer 22

a) has to be true because you want a perpendicular segment
b) has to be true because you want an isosceles triangle

Answer 23

@jim_thompson5910 Thank you :) You really helped this make more sense to me.

Answer 24

yw