Question

In the adjacent figure 5.42, if segAB parallel to seg PQ , seg AB congruent seg PQ , seg AC parallel to seg AC congruent seg PR then prove that , segBC parallel to QR and seg BC congruent seg QR ​

Answer 1

Hence Proved

seg BQ ║seg CR

seg BQ ≅ seg CR

Step-by-step explanation:

Diagram was missing we have attached for your reference.

Given:

seg AB ║seg PQ

seg AB ≅ seg PQ

Now we can say that;

In Quadrilateral ABPQ;

We can see that opposite are parallel and congruent.

Hence we can say that;

Quadrilateral ABPQ is a parallelogram

Thus we can say that;

seg AP ║seg BQ

seg AP ≅ seg BQ ⇒ equation 1 (By Properties of parallelogram)

Also Given:

seg AC ║seg PR

seg AC ≅ seg PR

Now we can say that;

In Quadrilateral APCR;

We can see that opposite are parallel and congruent.

Hence we can say that;

Quadrilateral APCR is a parallelogram

Thus we can say that;

seg AP ║seg CR

seg AP ≅ seg CR ⇒ equation 2 (By Properties of parallelogram)

From equation 1 and 2 we can say that;

seg BQ ║seg CR

seg BQ ≅ seg CR . . . . . . (Hence Proved)

Answer 2

In the adjacent figure 5.42, if segAB parallel to seg PQ , seg AB congruent seg PQ , seg AC parallel to seg AC congruent seg PR then prove that , segBC parallel to QR and seg BC congruent seg QR F-U-C-K