Advertisements
Advertisements
Question
If the following pair of the triangle is congruent? state the condition of congruency:
In ΔABC and ΔQRP, AB = QR, ∠B = ∠R and ∠C = P.
Advertisements
Solution
In ΔABC and ΔQRP
∠B =∠R [ Given ]
∠C =∠P [ Given ]
AB = QR [ Given ]
By Angel-Angel SIde criterion of congruency, the triangles
ΔABC and ΔQRP are congruent to each other.
∴ ΔABC ≅ ΔQRP
APPEARS IN
RELATED QUESTIONS
In the given figure, AC = AE, AB = AD and ∠BAD = ∠EAC. Show that BC = DE.
In Δ ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in P. Arrange AP, BP and CP in descending order.
If ABC and DEF are two triangles such that AC = 2.5 cm, BC = 5 cm, ∠C = 75°, DE = 2.5 cm, DF = 5cm and ∠D = 75°. Are two triangles congruent?
In the given figure, ABC is an isosceles triangle whose side AC is produced to E. Through C, CD is drawn parallel to BA. The value of x is
D, E, F are the mid-point of the sides BC, CA and AB respectively of ΔABC. Then ΔDEF is congruent to triangle
The following figure shows a circle with center O.
If OP is perpendicular to AB, prove that AP = BP.
From the given diagram, in which ABCD is a parallelogram, ABL is a line segment and E is mid-point of BC.
prove that : AL = 2DC
In the following figure, AB = EF, BC = DE and ∠B = ∠E = 90°.
Prove that AD = FC.
AD and BC are equal perpendiculars to a line segment AB. If AD and BC are on different sides of AB prove that CD bisects AB.
In ΔABC, AB = AC and the bisectors of angles B and C intersect at point O.
Prove that : (i) BO = CO
(ii) AO bisects angle BAC.
