Question

Given:
<3, <4 are rt. <'s
RS = RT

Prove:
triangle RZS = triangle RZT

https://media.glynlyon.com/g_geo_2013/4/page18a.gif

https://media.glynlyon.com/g_geo_2013/4/page18b.gif

Which of the following lines would support the conclusion based on the given information?

RZ = RZ, Symmetric Property
RZ = RZ, Reflexive Property
TZ = ST, Perpendicular Bisector

Answer 1

Since they didn't tell us anything about angle1 or angle2, we don't have enough information to say anything about TZ or ST.
So it can't be the third option.

I'm not sure what the first property is.... I'd have to look it up.
But the second one makes sense, that's what I would go with.
RZ is a leg of both triangles, and it's congruent to itself.
So RZ satisfies the reflexive property.
That gives us two pairs of congruent sides, and they're both right triangles, so the third sides are congruent as well.

Answer 2

thnx:)