Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
In ΔABC and ΔPQR and
AB = PQ
BC = QR
∠ABX + ∠ABC
= ∠PQY + ∠PQR
= 180°
∠ABX = ∠PQY
⇒ ∠ABC = ∠PQR
Therefore,
ΔABC ≅ΔPQR ....(SAS criteria).
APPEARS IN
संबंधित प्रश्न
In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the othe Prove that the triangles are congruent.
In the given figure, X is a point in the interior of square ABCD. AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then BY =
In the given figure, ABC is a triangle in which ∠B = 2∠C. D is a point on side BC such that ADbisects ∠BAC and AB = CD. BE is the bisector of ∠B. The measure of ∠BAC is
From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR. Write the remaining congruent parts of the triangles.
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 90°,BC = 6cm,AB = 8cm);
ΔPQR;(∠Q = 90°,PQ = 6cm,PR = 10cm).
In a triangle ABC, if D is midpoint of BC; AD is produced upto E such as DE = AD, then prove that:
a. DABD andDECD are congruent.
b. AB = EC
c. AB is parallel to EC
In the figure, BM and DN are both perpendiculars on AC and BM = DN. Prove that AC bisects BD.
In the figure, AC = AE, AB = AD and ∠BAD = ∠EAC. Prove that BC = DE.
In the given figure, AB = DB and AC = DC. Find the values of x and y.
If ∆PQR is congruent to ∆STU (see figure), then what is the length of TU?
