Question

Use the given information to prove the following theorem.

Answer 1

Answer: two right-angled triangle, equilateral triangle

Step-by-step explanation:

It is a combination of two right-angled triangle or it is an equilateral triangle.

Answer 2

Step-by-step explanation:

You want to prove a point P on the perpendicular bisector of segment YZ is equidistant from Y and Z.

Statement . . . . Reason

1. PX is the perpendicular bisector of YZ . . . . given

2. angles at X are right angles . . . . definition of perpendicular

3. YX = XZ . . . . definition of bisector

4. PX = PX . . . . reflexive property of congruence

5. ∆PXY ≅ ∆PXZ . . . . LL congruence theorem

6. YP ≅ ZP . . . . CPCTC