In triangle ABC and PQR three equality relations between some parts ar – InterviewSolution

InterviewSolution

1.	In triangle ABC and PQR three equality relations between some parts are as follows:AB = QP, ∠B = ∠P and BC = PRState which of the congruence conditions applies:A. SASB. ASAC. SSSD. RHS
Answer» Since, two adjacent sides and the so formed angle with the two sides are shown equal while proving them congruent. Hence, by S.A.S. theorem the two triangles can be proved congruent.

Discussion

No Comment Found

Related InterviewSolutions

If ∆ ABC ≅ ∆ FED under the correspondence ABC ⟷ FED, write all the corresponding congruent parts of the triangles.
State the correspondence between the vertices, sides and angles of the pairs of congruent triangles.ΔCAB ≅ ΔQRP
“If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent.” Is the statement true? Why?
In a △ ABC, D is the midpoint of side AC such that BD = ½ AC. Show that ∠ ABC is a right angle.
In the given figure, AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB.
In the given figure, AB || CD and O is the midpoint of AD. Show that(i) △ AOB ≅ △ DOC(ii) O is the midpoint of BC.
ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.
The image of an object placed at a point A before a plane mirror LM is seen at the point B by an observer at D, as shown in the figure. Prove that the image is as far behind the mirror as the object is in front of the mirror.
In figure AB = AC and D is mid point of BC.(i) Write three pairs of equal parts in ∆ADB and ∆ACD.(ii) Is ∆ADB = ∆ADC ?Give reason.(iii) What is relation between ∠B and ∠C?
Complete the statement :(i) ∆ADB ≅ ?(ii) ∆PQR ≅ ?