Question

Which statement is true about these triangles?

Four triangles of different sizes. Triangle N M O has angle N M O measuring seventy-nine degrees and angle M O N measuring twenty-two degrees. Triangle G H K has angle H G K measuring seventy-nine degrees and angle H G K measuring seventy-nine degrees. Triangle P Q R has angle P R Q measuring twenty degrees and angle R Q P measuring seventy-nine degrees. Triangle D E F has angle D E F measuring eighty-two degrees and angle D F E measuring twenty-two degrees.

Question 3 options:

Triangle M N O is similar to triangle G H K.


Triangle P Q R is similar to triangle D E F.


Triangle M N O is similar to triangle P Q R.


Triangle P Q R is similar to triangle G H K.

Answer 1

A option

Explanation:

ΔMNO: ∠M=79°, ∠O=22°, then ∠N=180°-79°-22°=79°.

ΔGHK: ∠G=∠H=79°, then ∠K=180°-79°-79°=22°.

ΔPQR: ∠R=20°, ∠Q=79°, then ∠P=180°-79°-20°=81°.

ΔDEF: ∠E=82°, ∠F=22°, then ∠D=180°-82°-22°=76°.

Similar triangles have congruent angles, then

ΔMNO and ΔGHK are similar.