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
In ΔPQR ≅ ΔEFD then ED =
In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of vertex angle of the triangle is
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangles in each pair are congruent.
By ______ test
ΔPRQ ≅ ΔSTU
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.
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 and ΔPQR and, AB = PQ, BC = QR and CB and RQ are extended to X and Y respectively and ∠ABX = ∠PQY. = Prove that ΔABC ≅ ΔPQR.
ΔABC is isosceles with AB = AC. BD and CE are two medians of the triangle. Prove that BD = CE.
In ΔABC, AB = AC. D is a point in the interior of the triangle such that ∠DBC = ∠DCB. Prove that AD bisects ∠BAC of ΔABC.
In ΔABC, AD is a median. The perpendiculars from B and C meet the line AD produced at X and Y. Prove that BX = CY.
The congruent figures super impose each other completely.
