Advertisements
Advertisements
प्रश्न
In triangles ABC and CDE, if AC = CE, BC = CD, ∠A = 60°, ∠C = 30° and ∠D = 90°. Are two triangles congruent?
Advertisements
उत्तर
For the triangles ABC and ECD, we have the following information and corresponding figure:
AC = CE
BC = CD
∠A = 60°
∠C = 30°
∠D = 90°

In triangles ABC and ECD, we have
AC = EC
BC = CD
and ∠BAC= ∠CED
The SSA criteria for two triangles to be congruent are being followed. So both the triangles are congruent.
APPEARS IN
संबंधित प्रश्न
ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (See the given figure). Prove that
- ΔABD ≅ ΔBAC
- BD = AC
- ∠ABD = ∠BAC.

Which congruence criterion do you use in the following?
Given: ∠MLN = ∠FGH
∠NML = ∠GFH
ML = FG
So, ΔLMN ≅ ΔGFH

You want to show that ΔART ≅ ΔPEN,
If it is given that AT = PN and you are to use ASA criterion, you need to have
1) ?
2) ?

In Fig. 10.99, AD ⊥ CD and CB ⊥. CD. If AQ = BP and DP = CQ, prove that ∠DAQ = ∠CBP.
Use the information in the given figure to prove:
- AB = FE
- BD = CF

In a triangle ABC, D is mid-point of BC; AD is produced up to E so that DE = AD. Prove that:
AB = CE.
The perpendicular bisectors of the sides of a triangle ABC meet at I.
Prove that: IA = IB = IC.
From the given diagram, in which ABCD is a parallelogram, ABL is a line segment and E is mid-point of BC.
Prove that: AB = BL.
In the following figure, AB = AC and AD is perpendicular to BC. BE bisects angle B and EF is perpendicular to AB.
Prove that : ED = EF

In the following diagram, AP and BQ are equal and parallel to each other. 
Prove that: AB and PQ bisect each other.
