Advertisements
Advertisements
प्रश्न
In the given figure, AC ≡ AD and ∠CBD ≡ ∠DEC. Prove that ∆BCF ≡ ∆EDF.
उत्तर
| Statements | Reasons |
| 1. ∠BCF = ∠EFD | Vertically opposite angles |
| 2. ∠CBD = ∠DEC | Angles on the same base given |
| 3. ∠BCF = ∠EDF | Remaining angles of ∆BCF and ∆EDF |
| 4. ∆BCF ≡ ∆EDF | By (1) and (2) AAA criteria |
APPEARS IN
संबंधित प्रश्न
By applying the ASA congruence rule, it is to be established that ∆ABC ≅ ∆QRP and it is given that BC = RP. What additional information is needed to establish the congruence?
In Fig, can you use the ASA congruence rule and conclude that ∆AOC ≅ ∆BOD?
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by the ASA congruence rule. In the case of congruence, write it in symbolic form.
∆DEF, ∠D = 60º, ∠F = 80º, DF = 6 cm.
∆PQR, ∠Q = 60º, ∠R = 80º, QP = 6 cm.
ΔABC and ΔDEF are two triangles in which AB = DF, ∠ACB = 70°, ∠ABC = 60°, ∠DEF = 70° and ∠EDF = 60°. Prove that the triangles are congruent
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
For the given pair of triangles state the criterion that can be used to determine the congruency?
In the given figure, AD = CD and AB = CB. Identify the other three pairs that are equal
In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that AB = AD
In the given figure, ∆ARO ≅ ∆______.
In the given figure, ∠1 = ∠2 and ∠3 = ∠4.
- Is ∆ADC ≅ ∆ABC? Why ?
- Show that AD = AB and CD = CB.
