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

Someone help pls, its urgent! ASAP!!! (Geometry) “Complete the proofs”-example-1

1 Answer

5 votes

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.

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