You want to show that ΔART &cong; ΔPEN, If it is given that &ang;T = &ang;N and you are to use SAS criterion, you need to have 1) RT = and 2) PN =

You Want to Show that δArt ≅ δPen, If It is Given that ∠T = ∠N and You Are to Use Sas Criterion, You Need to Have

You want to show that ΔART ≅ ΔPEN,

If it is given that ∠T = ∠N and you are to use SAS criterion, you need to have

1) RT = and

2) PN =

Sum

1) RT = EN

2) PN = AT

shaalaa.com

Criteria for Congruence of Triangles

Is there an error in this question or solution?

In the given figure, AC = AE, AB = AD and ∠BAD = ∠EAC. Show that BC = DE.

You have to show that ΔAMP ≅ AMQ.

In the following proof, supply the missing reasons.

If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

In Fig. 10.40, it is given that RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.

ABC is an isosceles triangle in which AB = AC. BE and CF are its two medians. Show that BE = CF.

Use the information in the given figure to prove:

The following figure shows a circle with center O.

If OP is perpendicular to AB, prove that AP = BP.

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 adjoining figure, QX and RX are the bisectors of the angles Q and R respectively of the triangle PQR.
If XS ⊥ QR and XT ⊥ PQ;

Prove that:

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.