Question

determine if the two triangles are necessarily congruent. if so, fill in a flowchart proof to prove that they are. the triangles necessarily congruent.

Explanation:

Step1: Identify the right - angle

In \(\triangle DEF\), \(\angle F = 90^{\circ}\). In \(\triangle SPR\), \(\angle P=90^{\circ}\). So \(\angle F=\angle P\).

Step2: Identify the hypotenuse - leg

In \(\triangle DEF\) and \(\triangle SPR\), \(DE = SR\) (marked as equal with one tick) and \(DF = SP\) (marked as equal with two ticks).
By the Hypotenuse - Leg (HL) congruence criterion for right - triangles (if the hypotenuse and a leg of one right - triangle are equal to the hypotenuse and a leg of another right - triangle, then the two right - triangles are congruent).

Answer:

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