Question

Someone help pls, its urgent! ASAP!! (Geometry)
“Complete the proofs”

Answer 1

Question 8

1)
`\triangle ACE` with
`\overline{AC} \cong \overline{EC}`,
`\overline{BC} \cong \overline{DC}` (given)

2)
`\angle C \cong \angle C` (reflexive property)

3)
`\triangle ACD \cong \triangle ECB` (SAS)

Question 9

1)
`\overline{PQ}` and
`\overline{PR}` are the legs of isosceles
`\triangle PQR`,
`\overline{PS} \cong \overline{QR}` (given)

2)
`\angle PSQ` and
`\angle PSR` are right angles (definition of perpendicular lines)

3)
`\angle Q \cong \angle R` (angles opposite the legs of an isosceles triangle are congruent)

4)
`\overline{PS} \cong \overline{PS}` (reflexive property)

5)
`\angle PSQ \cong \angle PSR` (all right angles are congruent)

6)
`\triangle PSQ \cong \triangle PSR` (AAS)

Question 10

1)
`\overline{AB} \cong \overline{CD}`,
`\overline{AB} \perp \overline{BC}`,
`\overline{CD} \perp \overline{AD}` (given)

2)
`\overline{AC} \cong \overline{AC}` (reflexive property)

3)
`\angle ABC` and
`\angle ADC` are right angles (perpendicular lines form right angles)

4)
`\triangle ABC` and
`\triangle ADC` are right triangles (a triangle with a right angle is a right triangle)

5)
`\triangle ABC \cong \triangle CDA` (HL)

6)
`\overline{AD} \cong \overline{CB}` (CPCTC)