Advertisements
Advertisements
Question
In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.

Advertisements
Solution
In ∆ABE and ∆CBD,
∠EAB = ∠DCB = 50° ...(Given)
AE = CD = 5 cm ...(Given)
AB = CB = 5.2 cm ...(Given)
∴ ∆ABE ≅ ∆CBD ...(SAS criterion)
APPEARS IN
RELATED QUESTIONS
State whether the two triangles are congruent or not. Justify your answer
Construct a triangle XYZ with the given conditions.
BC = 8 cm, AC = 6 cm and ∠C = 40°
Construct a triangle PQR with given conditions.
∠P = 60°, ∠R = 35° and PR = 7.8 cm
Using the given figure, prove that the triangles are congruent. Can you conclude that AC is parallel to DE
In the following figure, ∆PQR ≅ ∆ ______.


In the following figure, AB = AD and ∠BAC = ∠DAC. Then
- ∆ ______ ≅ ∆ABC.
- BC = ______.
- ∠BCA = ______.
- Line segment AC bisects ______ and ______.
In the following figure, two triangles are congruent by RHS.

In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.

In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.

State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).
∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°
∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°
