Advertisements
Advertisements
Question
If the following pair of the triangle is congruent? state the condition of congruency:
In ΔABC and ΔPQR, AB = PQ, AC = PR, and BC = QR.
Advertisements
Solution
In ΔABC and ΔPQR
AB = PQ ...[Given]
AC = PR ...[Given]
BC = QR ...[Given]


By Side-Side-Side criterion of congruency, the triangles
ΔABC and ΔPQR are congruent to each other.
∴ ΔABC ≅ ΔPQR
APPEARS IN
RELATED QUESTIONS
Which congruence criterion do you use in the following?
Given: AC = DF
AB = DE
BC = EF
So, ΔABC ≅ ΔDEF

If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

Explain, why ΔABC ≅ ΔFED.

If perpendiculars from any point within an angle on its arms are congruent, prove that it lies on the bisector of that angle.
In two congruent triangles ABC and DEF, if AB = DE and BC = EF. Name the pairs of equal angles.
A line segment AB is bisected at point P and through point P another line segment PQ, which is perpendicular to AB, is drawn. Show that: QA = QB.
A point O is taken inside a rhombus ABCD such that its distance from the vertices B and D are equal. Show that AOC is a straight line.
In the following figure, OA = OC and AB = BC.
Prove that: ΔAOD≅ ΔCOD
In a triangle, ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB.
Prove that: AD = CE.
ABC is a right triangle with AB = AC. Bisector of ∠A meets BC at D. Prove that BC = 2AD.
