Question

question
determine if the two triangles are necessarily congruent. if so, fill in a flowchart proof to prove that they are.
necessarily congruent.
first box, choose a statement format from the dropdown menus. you will then be able to change the letters to match the diagram for this problem.
△qfr≅△edc

Explanation:

Step1: Identify given congruent parts

From the diagram:

1. $\overline{DC} \cong \overline{FR}$ (marked sides)
2. $\angle C \cong \angle R$ (marked angles)
3. $\overline{EC} \cong \overline{OR}$ (marked sides)

Step2: Match to congruence rule

The congruent parts form a side-angle-side (SAS) pattern: two pairs of corresponding sides are congruent, and the included corresponding angles are congruent. This satisfies the SAS Triangle Congruence Postulate.

Answer:

First blank: Yes

Flowchart fill-in (top to bottom, left to right):

1. Type of Statement: $\boldsymbol{\overline{DC} \cong \overline{FR}}$, Reason: GIVEN
2. Type of Statement: $\boldsymbol{\angle C \cong \angle R}$, Reason: GIVEN
3. Type of Statement: $\boldsymbol{\overline{EC} \cong \overline{OR}}$, Reason: GIVEN
4. Reason for $\triangle OFR \cong \triangle EDC$: $\boldsymbol{SAS}$