Question

Yer yerrr help me for 12 points. give me the statement and reason chart.

Answer 1

The explanation is below.

Explanation:

Given

C is the midpoint of
`\overline{AD}` and also C is the midpoint of
`\overline{EB}`

`\overline{AC} = \overline{DC}\\ and\\\overline{BC} = \overline{EC}`

To Prove:

`\angle A \cong \angle D`

Proof:

`In\ \triangle ACB\ and\ \triangle DCE\\\overline{AC} \cong \overline{DC}\ \textrm{ C is the midpoint of AD}\\\angle ACD \cong \angle DCE\ \textrm{vertically opposite angles}\\\overline{BC} \cong \overline{EC}\ \textrm{ C is the midpoint of BE}\\\therefore \triangle ACB \cong \triangle DCE\ \textrm{ By Side-Angle-Side test}\\\therefore \angle BAC \cong \angle EDC\ \textrm{corresponding parts(angles) of congruent triangles}\\\therefore \angle A \cong \angle D\ \textrm{ Proved}`