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
In Fig, can you use the ASA congruence rule and conclude that ∆AOC ≅ ∆BOD?

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
State whether the two triangles are congruent or not. Justify your answer
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that AB = AD

In the following figure, AD ⊥ BC and AD is the bisector of angle BAC. Then, ∆ABD ≅ ∆ACD by RHS.

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.

In the following figure, ∠1 = ∠2 and ∠3 = ∠4.
- Is ∆ADC ≅ ∆ABC? Why ?
- Show that AD = AB and CD = CB.

Observe the given figure and state the three pairs of equal parts in triangles ABC and DBC.
- Is ∆ABC ≅ ∆DCB? Why?
- Is AB = DC? Why?
- Is AC = DB? Why?

