Question

Please help urgent!!

Answer 1

Answer:

$Q M \cong R M \Rightarrow$ definition of midpoint

$\overline{P M} \cong \overline{P M} \Rightarrow$ Reflexive property of congruence

$\Delta P Q M \cong \Delta P R M \Rightarrow$ SSS congruence postulate

$\angle Q \cong \angle R \Rightarrow$ CPCTC theorem

Step-by-step explanation:

Step 1: Since, M is the midpoint of the line segment QR.  

$\overline{Q M} \cong \overline{R M} \Rightarrow$  definition of midpoint

Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.  

$\overline{P M} \cong \overline{P M} \Rightarrow$ Reflexive property of congruence.

Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.

$\Delta P Q M \cong \Delta P R M \Rightarrow$  SSS congruence postulate

Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.

$\angle Q \cong \angle R \Rightarrow$ CPCTC theorem.