Advertisements
Advertisements
प्रश्न
In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB
Advertisements
उत्तर
| Statements | Reasons |
|
1. In ΔMUG and ΔTUG MU = TU |
∠3 = ∠4, opposite sides of equal angles |
| 2. UG = UB |
∠1 = ∠2 Side opposite to equal angles are equal |
| 3. ∠GUM = ∠BUT | Vertically opposite angle |
| 4. ∆MUG ≡ ∆TUG |
SAS criteria By 1, 2 and 3 |
APPEARS IN
संबंधित प्रश्न
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:
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
Construct a triangle XYZ with the given conditions.
BC = 8 cm, AC = 6 cm and ∠C = 40°
Construct a triangle PQR with given conditions.
∠Q = 90°, ∠R = 42° and QR = 5.5 cm
Using the given figure, prove that the triangles are congruent. Can you conclude that AC is parallel to DE
In the following figure, ΔPQR ≅ Δ ______.
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, 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).
∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm
∆XYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm
