In ΔABC, point P is the mid-point of AB and point Q is the mid-point of BC. Select the statement that could be false.
A. m∠BAC = m∠BCA
B. AC || PQ
C. m∠BPQ = m∠BAC
D. m∠PQC + m∠QCA = 180

Question

In ΔABC, point P is the mid-point of AB and point Q is the mid-point of BC. Select the statement that could be false. A. m∠BAC = m∠BCA B. AC || PQ C. m∠BPQ = m∠BAC D. m∠PQC + m∠QCA = 180

Quizzma Team · Answer

The correct answer is A. m∠BAC = m∠BCA.

Explanation: In triangle (ABC), there is no requirement for angles (BAC) and (BCA) to be equal unless the triangle is isosceles (where two sides are of equal length). Therefore, it is possible that (m∠BAC neq m∠BCA), making this statement potentially false. The other statements are true based on the properties of midpoints and parallel lines.

In ΔABC, point P is the mid-point of AB and point Q is the mid-point of BC. Select the statement that could be false. m∠BAC = m∠BCA AC || PQ m∠BPQ = m∠BAC m∠PQC + m∠QCA = 180

1 Answer