Advertisements
Advertisements
Question
State whether the two triangles are congruent or not. Justify your answer
Advertisements
Solution
Let the given triangle be ∆ABC
`bar("AD")` divides ∆ABC into two parts giving ∆ABD and ∆ACD
In ∆ABD and ∆ACD
`bar("AB") = bar("AC")` ...(given)
`bar("BD") = bar("AD")` ...(common side)
∠BAD = ∠CAD ...(included angles)
∴ By SAS criterion ∆ABD ≅ ∆ACD.
APPEARS IN
RELATED QUESTIONS
In Fig,
AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.
In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED
In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB
Construct a triangle PQR with given conditions.
∠P = 115°, ∠Q = 40° and PQ = 6 cm
In the following figure, ∆PQR ≅ ∆ ______.
In the following figure, ΔPQR ≅ Δ ______.
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.
In the following figure, PQ = PS and ∠1 = ∠2.
- Is ∆PQR ≅ ∆PSR? Give reasons.
- Is QR = SR? Give reasons.
