Advertisements
Advertisements
प्रश्न
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if ______.
पर्याय
BC = EF
AC = DE
AC = EF
BC = DE
Advertisements
उत्तर
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if AC = DE.
Explanation:
Given, in ΔABC and ΔDEF,
AB = DF and ∠A = ∠D
We know that, two triangles will be congruent by ASA rule, if two angles and the included side of one triangle are equal to the two angles and the included side of other triangle.
∴ AC = DE
APPEARS IN
संबंधित प्रश्न
In ΔPQR ≅ ΔEFD then ED =
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.
In the following figure, OA = OC and AB = BC.
Prove that: AD = CD
A is any point in the angle PQR such that the perpendiculars drawn from A on PQ and QR are equal. Prove that ∠AQP = ∠AQR.
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, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.
AD and BE are altitudes of an isosceles triangle ABC with AC = BC. Prove that AE = BD.
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.
PQRS is a quadrilateral and T and U are points on PS and RS respectively such that PQ = RQ, ∠PQT = ∠RQU and ∠TQS = ∠UQS. Prove that QT = QU.
Which of the following rule is not sufficient to verify the congruency of two triangles
