Question

PLEASE HELP ME WITH THESE TWO

Answer 1

7.

`\begin{array}l{\underline {Statement} &\underline{Reason}\\1.\ MA\ ||\ RY&1.\ \text{Given}\\2.\ \angle M \cong \angle R&2.\ \text{Alternate Interior Angles Theorem}\\3.\ \angle M \cong \angle R&3.\ \text{Given}\\4.\ AY \cong AY&4.\ \text{Reflexive Property}\\5.\ \triangle MAY \cong \triangle RYA&5.\ \text{Angle-Angle-Side Theorem}\\6.\ MY \cong RA&6.\ \text{CPCTC}\\\end{array}`

9.

`\begin{array}l{\underline {Statement} &\underline{Reason}\\1.\ \triangle JKM \text{is equilangular}&1.\ \text{Given}\\2.\ \angle J \cong \angle K \cong \angle M&2.\ \text{De-finition of Equiangular}\\3.\ IE \perp MK&3.\ \text{Given}\\4.\ \angle IEK\ \text{and}\ \angle IEM\ \text{are right angles}&4.\ \text{De-finition of Perpendicular}\\5.\ \angle IEK \cong \angle IEM&5.\ \text{Transitive Property}\\6.\ IE \cong IE&6.\ \text{Reflexive Property}\\\end{array}`

`\begin{array}l\\7.\ \angle EIK\ \text{and}\ \angle EIM\ \qquad \qquad \qquad \quad &7.\ \text{Triangle Sum Theorem}\\8.\ \angle EIK \cong \angle EIM&8.\ \text{Transitive Property}\\9.\ \triangle IKE \cong \triangle IME&9.\ \text{Angle-Side-Angle Theorem}\end{array}`