P is the mid-point of side AB of parallelogram ABCD, and Q is the mid-point of DC. A student wants to prove that APCQ (vertices in order A, P, C, Q) is a parallelogram. The most direct reason is that:

Question

Accepted Answer

AP is equal and parallel to QC. AP = half of AB and QC = half of DC; since AB = DC and AB is parallel to DC, AP is equal and parallel to QC. One pair of opposite sides equal and parallel makes APCQ a parallelogram.

P is the mid-point of side AB of parallelogram ABCD, and Q is the mid-point of DC.
A student wants to prove that APCQ (vertices in order A, P, C, Q) is a parallelogram.
The most direct reason is that:

Step-by-Step Solution

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More Class 9 Conditions for a Parallelogram practice

P is the mid-point of side AB of parallelogram ABCD, and Q is the mid-point of DC.A student wants to prove that APCQ (vertices in order A, P, C, Q) is a parallelogram.The most direct reason is that:

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Conditions for a Parallelogram practice

P is the mid-point of side AB of parallelogram ABCD, and Q is the mid-point of DC.
A student wants to prove that APCQ (vertices in order A, P, C, Q) is a parallelogram.
The most direct reason is that: