Advertisements
Advertisements
Question
In two triangles ABC and DEF, it is given that ∠A = ∠D, ∠B = ∠E and ∠C =∠F. Are the two triangles necessarily congruent?
Advertisements
Solution
It is given that ∠A = ∠D , ∠B = ∠E , ∠C = ∠F
For necessarily triangle to be congruent, sides should also be equal.
APPEARS IN
RELATED QUESTIONS
AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that ∠BAD = ∠ABE and ∠EPA = ∠DPB (See the given figure). Show that
- ΔDAP ≅ ΔEBP
- AD = BE
You want to show that ΔART ≅ ΔPEN,
If you have to use SSS criterion, then you need to show
1) AR =
2) RT =
3) AT =
Prove that the perimeter of a triangle is greater than the sum of its altitudes.
In the given figure, prove that:
CD + DA + AB + BC > 2AC
In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?
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.
In the following figure, AB = AC and AD is perpendicular to BC. BE bisects angle B and EF is perpendicular to AB.
Prove that: BD = CD
In the following figures, the sides AB and BC and the median AD of triangle ABC are equal to the sides PQ and QR and median PS of the triangle PQR.
Prove that ΔABC and ΔPQR are congruent.
 |
 |
AD and BC are equal perpendiculars to a line segment AB. If AD and BC are on different sides of AB prove that CD bisects AB.
