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 ∆SUT and ∆XYZ,
ST = XZ = 3 cm ...(Given)
UT = YZ = 4 cm ...(Given)
∠STU = ∠XZY = 30° ...(Given)
∴ ∆SUT ≅ ∆XYZ ...(SAS criterion)
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.
Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
Construct a triangle ABC with given conditions.
AB = 7 cm, AC = 6.5 cm and ∠A = 120°
Construct a triangle PQR with given conditions.
∠P = 60°, ∠R = 35° and PR = 7.8 cm
In ∆ABC and ∆PQR, ∠A = 50° = ∠P, PQ = AB, and PR = AC. By which property ∆ABC and ∆PQR are congruent?
In the following figure, M is the mid-point of both AC and BD. Then ______.
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.
