Constructions

M is the midpoint of line segment PQ, found by constructing the perpendicular bisector. If $PQ=6$ cm, write down the length of PM.

M is the midpoint of line segment RS. If $RM=9$ cm, write down the length of RS.

Complete the statement: The bisector of an angle divides the angle into …

In a construction, QS bisects ∠$PQR=100^\circ$. Write down the size of ∠SQR.

In a construction, LS bisects ∠$KLM=40^\circ$. Write down the size of ∠KLS.

K is a point on the perpendicular bisector of line segment CD. If $KC=7{,}4$ cm, write down, with a reason, the length of KD.

Complete the statement: Bisecting an angle of 148° constructs two angles of … each.

In a construction, QS bisects ∠$PQR=56^\circ$. Write down the size of ∠PQS.

In a construction, LS bisects ∠$KLM=132^\circ$, and LT bisects ∠KLS. Write down the size of ∠KLT.

In a construction, EG bisects ∠$DEF=120^\circ$. Write down the size of ∠DEG.

Complete the statement: The perpendicular bisector of CD crosses CD at …

M is the midpoint of line segment RS. If $RM=11$ cm, write down the length of RS.