Angle n = 40 degrees, side np = 8, angle q = 40 degrees, and side qs = 8. what additional information would you need to prove that δnop ≅ δqrs by asa?

1.angle o is congruent to angle r.
2. angle p is congruent to angle s.
3. side no is congruent to side qr.
4.side op is congruent to side rs.

The additional information  to prove that ΔNOP ≅ ΔQRS by ASA  is

angle P is congruent to angle S.

Step-by-step explanation:

Given:

Angle N = 40 degrees,

side NP = 8,

angle Q = 40 degrees, and

side QS = 8.

 ∠ P ≅ ∠ S    …………..{Additional Information}

To Prove:

ΔNOP ≅ ΔQRS by ASA

Proof:

In  Δ NOP  and Δ QRS

     ∠ N ≅ ∠ Q    …………..{Given measure of each angle is 40°}

     NP ≅ QS     .....……….{measure of each side is 8 unit}

    ∠ P ≅ ∠ S    …………..{Additional Information}

Δ NOP ≅ Δ QRS  ….{ By Angle-Side-Angle test}

Also Diagram is attached below

ASA Test : Triangles to be congruent by ASA test we required two angles should be  congruent and one side between that two angles.

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.

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