+91-8076753736 [email protected]

-->

Areas Of Parallelograms And Triangles

Question

Wired Faculty App

In two triangles ABC and DEF, ∠A = ∠D, ∠B = ∠E and AB = EF, then are the two triangles congruent? If yes, by which congruency rule?
yes, by AAS
No
yes, by ASA
Yes, by RHS

Solution

B.

No

Some More Questions From Areas of Parallelograms and Triangles Chapter

In figure, AP and BQ are perpendiculars to the line-segment AB and AP = BQ. Prove that O is the midpoint of line segments AB and PQ.

In figure, diagonal AC of a quadrilateral ABCD bisects the angles A and C. Prove that AB = AD and CB = CD.

AB is a line-segment. AX and BY are two equal line-segments drawn on opposite sides of line AB such that AX || BY. If AB and XY intersect each other at P. Prove that:
(i) ∆APX ≅ ∆BPY
(ii) AB and XY bisect each other at P.

In figure, ∠QPR = ∠PQR and M and N are respectively points on sides QR and PR of ∆PQR, such that QM = PN. Prove that OP = OQ, where O is the point of intersecting of PM and QN.

In figure, ∠B = ∠.E, BD = CE and ∠1 = ∠2. Show ∆ABC ≅ ∆AED.

In figure given below, AD is the median of ∆ABC.
BE ⊥ AD, CF ⊥ AD. Prove that BE = CF.

In the given figure, if AB = FE, BC = ED, AB ⊥ BD and FE ⊥ EC, then prove that AD = FC.

In figure, OA = OB and OD = OC. Show that:
(i) ∆AOD ≅ ∆BOC and (ii) AD = BC.

AB is a line segment and line l is its perpendicular bisector. If a point P lies on I, show that P is equidistant from A and B.

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation