Name the congruent angles and sides for the pair of congruent triangles.
∆MGB ≅ ∆WYT
∠M≅∠W as are the other corresponding angles
MG≅WY as are the other corresponding sides
To determine the congruent angles and sides for the given pair of congruent triangles ∆MGB and ∆WYT, we can use the definition of congruence:
Congruent triangles have corresponding angles and sides that are equal in measure.
To find the congruent angles, we need to compare the corresponding angles in both triangles.
- Angle M in ∆MGB is congruent to angle W in ∆WYT.
- Angle G in ∆MGB is congruent to angle Y in ∆WYT.
- Angle B in ∆MGB is congruent to angle T in ∆WYT.
To find the congruent sides, we need to compare the corresponding sides in both triangles.
- Side MG in ∆MGB is congruent to side WY in ∆WYT.
- Side GB in ∆MGB is congruent to side YT in ∆WYT.
- Side BM in ∆MGB is congruent to side TY in ∆WYT.
Therefore, the congruent angles are: ∠M ≅ ∠W, ∠G ≅ ∠Y, and ∠B ≅ ∠T.
And the congruent sides are: MG ≅ WY, GB ≅ YT, and BM ≅ TY.
To determine the congruent angles and sides for the pair of congruent triangles ∆MGB and ∆WYT, we can use the congruence symbol ("≅") to indicate that these triangles are congruent. Here are the congruent angles and sides:
Congruent Angles:
- ∠M ≅ ∠W
- ∠G ≅ ∠Y
- ∠B ≅ ∠T
Congruent Sides:
- MG ≅ WY
- GB ≅ YT
- MB ≅ WT
So, the congruent angles are ∠M ≅ ∠W, ∠G ≅ ∠Y, and ∠B ≅ ∠T. The congruent sides are MG ≅ WY, GB ≅ YT, and MB ≅ WT.