Question

We want to show that ∆ ART = ∆ PEN. We have to use ASA criterion. We have AT = PN, ∠ A = ∠ P. What more we need to show? *

(a) ∠T = ∠N

(b) ∠T = ∠E

(c) ∠T = ∠P

(d) None of these


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Answer 1

Answer:

a. angle T = angle N

Step-by-step explanation:

hope it wïll help you

Answer 2

Given : To show that ∆ ART ≅ ∆ PEN.  Use ASA criterion.

AT ≅ PN, ∠ A ≅ ∠ P.

To Find : What more need to show? *

(a) ∠T ≅ ∠N

(b) ∠T ≅ ∠E

(c) ∠T ≅ ∠P

(d) None of these

Solution:

ASA criterion of congruency

Angle-Side-Angle (ASA) Congruence Theorem

If two angles and the side included between those angles of a triangle are equal to the corresponding two angles and the included side of another triangle, then the two triangles are congruent.

∆ ART ≅ ∆ PEN   to be proved

AT ≅ PN    given

Side  AT  is included between angles  ∠ A and  ∠ T

and PN  are included between angles ∠ P and  ∠ N

∠ A ≅ ∠ P

Hence ∠ T ≅ ∠ N  is required  to show

∆ ART ≅ ∆ PEN using ASA criterion

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