In △MNO , m∠M=78°, m∠N=34° , and m∠O=68° . In △RST, m∠S=68°, m∠R=78° , and m∠T=34° . Describe the pairs of congruent corresponding angles in the two triangles.(1 point)
Responses
∠M=∠R , ∠N=∠T , ∠O=∠S
, angle upper M equals angle upper R, , , , angle upper N equals angle upper T, , , , angle upper O equals angle upper S,
∠M≅∠R , ∠N≅∠S , ∠O≅∠T
, , angle upper M congruent to angle upper R, , , , angle upper N congruent to angle upper S, , , , angle upper O congruent to angle upper T,
m∠M≅m∠R , m∠N≅m∠T , m∠O≅m∠S
, m angle upper M congruent to m angle upper R, , , , , m angle upper N congruent to m angle upper T, , , , , m angle upper O congruent to m angle upper S,
∠M≅∠R , ∠N≅∠T , ∠O≅∠S
angle upper M congruent to angle upper R, , , , angle upper N congruent to angle upper T, , , , angle upper O congruent to angle upper S,
∠M≅∠R, ∠N≅∠T, ∠O≅∠S
Well, it looks like angle upper M is congruent to angle upper R, angle upper N is congruent to angle upper T, and angle upper O is congruent to angle upper S. So, we can say that ∠M≅∠R, ∠N≅∠T, ∠O≅∠S. They are like long-lost twins, except in the world of geometry!
The correct answer is: ∠M≅∠R , ∠N≅∠T , ∠O≅∠S
To determine the pairs of congruent corresponding angles in the two triangles, you need to compare the angles with the same position in the triangles.
In triangle MNO, ∠M is the angle opposite side MO, ∠N is the angle opposite side NO, and ∠O is the angle opposite side MN.
In triangle RST, ∠R is the angle opposite side RT, ∠S is the angle opposite side ST, and ∠T is the angle opposite side RS.
By comparing the angles with the same position in the triangles, we find that ∠M corresponds to ∠R, ∠N corresponds to ∠T, and ∠O corresponds to ∠S. Therefore, these pairs of angles are congruent.
So, the pairs of congruent corresponding angles in the two triangles are ∠M≅∠R , ∠N≅∠T , ∠O≅∠S.