Advertisements
Advertisements
प्रश्न
In the given figure, if AB = AC and ∠B = ∠C. Prove that BQ = CP.
Advertisements
उत्तर
It is given that
AB = AC , and ∠B = ∠C
We have to prove that BQ = CP
We basically will prove ΔABQ ≅ ΔACP to show BQ = CP
In ΔABQ and ΔACP
∠B = ∠C (Given)
AB = AC(Given)
And ∠A is common in both the triangles
So all the properties of congruence are satisfied
So ΔABQ ≅ ΔACP
Hence BQ = CP Proved.
APPEARS IN
संबंधित प्रश्न
If ΔABC ≅ ΔFED under the correspondence ABC ↔ FED, write all the Corresponding congruent parts of the triangles.
BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.
In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.
State, whether the pairs of triangles given in the following figures are congruent or not:
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(AB = 8cm,BC = 6cm,∠B = 100°);
ΔPQR;(PQ = 8cm,RP = 5cm,∠Q = 100°).
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(AB = 5cm,BC = 7cm,CA = 9cm);
ΔKLM;(KL = 7cm,LM = 5cm,KM = 9cm).
In ΔABC, AB = AC and the bisectors of angles B and C intersect at point O.Prove that BO = CO and the ray AO is the bisector of angle BAC.
In the figure, AP and BQ are perpendiculars to the line segment AB and AP = BQ. Prove that O is the mid-point of the line segments AB and PQ.
It is given that ∆ABC ≅ ∆RPQ. Is it true to say that BC = QR? Why?
Two figures are congruent, if they have the same shape.
