Advertisements
Advertisements
प्रश्न
In the adjacent figure, seg AD ≌ seg EC Which additional information is needed to show that ∆ ABD and ∆ EBC will be congruent by A-A-S test?
उत्तर
In ∆ABD and ∆EBC,
side AD ≅ side EC ...[Given]
∠ABD ≅ ∠EBC ...[vertically opposite angles]
∴ To show that ∆ ABD and ∆ EBC will be congruent by A-A-S
test, one of the following is needed:
∠BAD ≅ ∠BCE
or
∠BDA ≅ ∠BEC
संबंधित प्रश्न
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to ∠E
In triangles ABC and PQR three equality relations between some parts are as follows:
AB = QP, ∠B = ∠P and BC = PR
State which of the congruence conditions applies:
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.
The following figure has shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that: (i) BN = CM (ii) ΔBMC≅ΔCNB
In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED
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, AB = AC. D is a point in the interior of the triangle such that ∠DBC = ∠DCB. Prove that AD bisects ∠BAC of ΔABC.
“If two angles and a side of one triangle are equal to two angles and a side 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?
If ∆PQR is congruent to ∆STU (see figure), then what is the length of TU?