Advertisements
Advertisements
प्रश्न
In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED

Advertisements
उत्तर
(i) In Δ ACB and Δ ECD,
AC = CE ................(given)
∠ACB = ∠DCE ............(vertically opposite angles)
BC = CD .............(given)
∴ Δ ACB ≅ Δ ECD ..............(S.A.S. Axiom)
(ii) Hence AB = ED ................(c.p.c.t.)
Hence proved.
APPEARS IN
संबंधित प्रश्न
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to `bar(EF)`
BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.
CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that ΔADE ≅ΔBCE.
Mark the correct alternative in each of the following:
If ABC ≅ ΔLKM, then side of ΔLKM equal to side AC of ΔABC is
In a triangle, ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that: AD = CE.
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 70°,BC = 6cm,∠C = 50°);
ΔXYZ;(∠Z = 60°,XY = 6cm,∠X = 70°).
In ΔABC, AD is a median. The perpendiculars from B and C meet the line AD produced at X and Y. Prove that BX = CY.
In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side BC of ∆ABC so that the two triangles are congruent? Give reason for your answer.
“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?
It is given that ∆ABC ≅ ∆RPQ. Is it true to say that BC = QR? Why?
