Advertisements
Advertisements
प्रश्न
In the figure, RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.
Advertisements
उत्तर
∠1 = 2∠2 and ∠4 = 2∠3
1 = 22 and 4 = 23∠1 = ∠4 ...(vertically opposite angles)
⇒ 2∠2 = 2∠3 or ∠2 = ∠3 ........(i)
∠R = ∠S = ...(since RT = TS and angle opposite to equal sides are equal)
⇒ ∠TRB = ∠TSA = .........(ii)
In ΔRBT and ΔSAT.
RT = TS
∠TRB = ∠TSA
∠RTB = ∠STA = ...(common)
Therefore, ΔRBT ≅ ΔSAT. ...(ASA criteria)
APPEARS IN
संबंधित प्रश्न
Find the measure of each angle of an equilateral triangle.
If ABC and DEF are two triangles such that ΔABC \[\cong\] ΔFDE and AB = 5cm, ∠B = 40°
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 triangle in each pair are congruent.
By ______ test
ΔLMN ≅ ΔPTR
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 pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
In the pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
State, whether the pairs of triangles given in the following figures are congruent or not:
AD and BE are altitudes of an isosceles triangle ABC with AC = BC. Prove that AE = BD.
If the perpendicular bisector of the sides of a triangle PQR meet at I, then prove that the line joining from P, Q, R to I are equal.
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.
