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azamat
1 year ago
11

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

Mathematics
1 answer:
Orlov [11]1 year ago
3 0

<u>Question 11</u>

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)

<u>Question 12</u>

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)

<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>

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