Question

Someone help me out on these 2 geometry questions, ASAP!!! “Complete the proofs”

Answer 1

Question 11

1) $\overline{BA} \cong \overline{FA}$, $\angle 1 \cong \angle 2$ (given)

2) $\angle A \cong \angle A$ (reflexive property)

3) $\triangle AEB \cong \triangle ACF$ (ASA)

4) $\overline{AC} \cong \overline{AE}$ (CPCTC)

Question 12

1) Isosceles $\triangle ACD$ with $\overline{AC} \cong \overline{AD}$, $\overline{BC} \cong \overline{ED}$ (given)

2) $\angle ACD \cong \angle ADC$ (angles opposite congruent sides in a triangle are congruent)

3) $\angle ACB$ and $\angle ACD$ are supplementary. $\angle ADC$ and $\angle ADE$ are supplementary (angles that form a linear pair are supplementary)

4) $\angle ACB \cong \angle ADE$ (supplements of congruent angles are congruent)

5) $\triangle ABC \cong \triangle AED$ (SAS)

6) $\overline{AB} \cong \overline{AE}$ (CPCTC)

7) $\triangle ABE$ is an isosceles triangle (a triangle with two congruent sides is isosceles)

Note: I changed the names of the segments in Question 11 because of the word filter.