Question

Sketch a counterexample that shows why each conditionl is false.
1.) If PQ = QR, then point Q is the midpoint of line PR.
2.) If two angles share a common side and a common vertex, then they are adjacent angles.

Answer 1

Question#20651

Sketch a counterexample that shows why each condition is false.

1.) If $PQ = QR$, then point $Q$ is the midpoint of line PR.

2.) If two angles share a common side and a common vertex, then they are adjacent angles.

Solution:

1)

$PQ=QR$ but $Q$ is not the midpoint of line PR.

2)

Two angles $ab$ and $bc$ have the common vertex $A$ and side $b$, but they are not adjacent angles.