Advertisements
Advertisements
प्रश्न
In the given figure, AC ≡ AD and ∠CBD ≡ ∠DEC. Prove that ∆BCF ≡ ∆EDF.
Advertisements
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?
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.
In the figure, ∠TMA ≡∠IAM and ∠TAM ≡ ∠IMA. P is the midpoint of MI and N is the midpoint of AI. Prove that ΔPIN ~ ΔATM
For the given pair of triangles state the criterion that can be used to determine the congruency?
In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that ∆BAC ≅ ∆DAC

In the following figure, Δ ______ ≅ ΔPQR.

If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent.
AAS congruence criterion is same as ASA congruence criterion.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.

In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.

