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Q: If PQRS is a parallelogram with two adjacent congruent sides then .?

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In the given truss bridge parallelogram ABCD and PQRS are congruent if AB 24 feet what is PQ?

35

QPR is congruent to SPR PR is perpendicular to QPS PQ =~ QR PT =~ RT

(apex) 40 degrees.

I'm having some trouble understanding exactly what 'm' and 'x' have to do with the rectangle. A look at the drawing would really help.

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In the given truss bridge parallelogram ABCD and PQRS are congruent if AB 24 feet what is PQ?

35

false

A quadrilateral shape which has 4 sides

QPR is congruent to SPR PR is perpendicular to QPS PQ =~ QR PT =~ RT

Congruent triangles: Take a parallelogram PQRS. Draw in the diagonals PR and QS. Let the point where the diagonals meet be M, Consider one pair of the parallel sides, PS and QR, say. Consider angles PSQ and RQS: As PS and QR are parallel they are equal (Z- or alternate angles). Now consider angles SPR and QRP: As PS and QR are parallel they are equal (z- or alternate angles). As PS and QR are opposite sides of a parallelogram they are equal in length; thus the triangles PMS and RMQ are congruent (Angle-Angle-Side). As the two triangle are congruent, equivalent sides are equal in length. Thus QM is the same length as MS and PM is the same length as MR As QM is the same length as MS and QMS lie on a straight line, M must be the mid point of QS, ie the diagonal PQ bisects the diagonal QS Similarly PM is the same length as MR and PMR lie on a straight line, thus M must be the mid point of PR, ie the diagonal QS bisects the diagonal PR Therefore the diagonals of a parallelogram bisect each other.

2

D.40

7

(apex) 40 degrees.

In the English-speaking world, PQRS

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