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True [87]
2 years ago
12

Can someone help me on this pls? It’s urgent, so ASAP (it’s geometry)

Mathematics
1 answer:
SashulF [63]2 years ago
7 0

<u>Question 2</u>

1) \overline{PR} \perp \overline{QS}, \overline{PQ} \cong \overline{PS} (given)

2) \overline{PR} \cong \overline{PR} (reflexive property)

3) \angle PRQ and \angle PRS are right angles (perpendicular lines form right angles)

4) \triangle PRQ and \triangle PRS are right triangles (a triangle with a right angle is a right triangle)

5) \triangle PRQ \cong \triangle PRS (HL)

Question 3

1) \angle C is a right angle, \overline{AC} \cong \overline{AE}, \overline{DE} \perp \overline{AB} (given)

2) \angle DEA is a right angle (perpendicular lines form right angles)

3) \triangle ACD and \triangle DAE are right triangles (a triangle with a right triangle is a right angle)

4) \overline{AD} \cong \overline{AD} (reflexive property)

5) \triangle ACD \cong \triangle AED (HL)

6) \angle CAD \cong \angle DAE (CPCTC)

7) \overline{AD} bisects \angle BAC (if a segment splits an angle into two congruent parts, it is an angle bisector)

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