Question

You want to establish ΔDEF ≅ ΔMNP, using the ASA congruence rule. You are given that ∠D = ∠M and ∠F = ∠P. What information is needed to establish the congruence? (Draw a rough figure and then try!)

Answer 1

Answer:

Either MN=DE

or EF=NP

or DF=MP

Step-by-step explanation:

First ,lets draw the fig.

we have to establish ΔDEF ≅ ΔMNP using the ASA congruence rule

according to which two corresponding angle and one side of the triagles should be equal.

As given in question two angles

∠D = ∠M,

∠F = ∠P,

hence for any one side side to be equal

Either MN=DE

or EF=NP

or DF=MP

Answer 2

Answer:

Answer

Given:- ∠D=∠M

∠F=∠P

△DEF≅△MNP(By ASA congruent rule)

As we know that if angle on either side are equal then the sides are also equal.

Thus the DF=MP is the needed information to establish the congruence.

Step-by-step explanation: