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Name the congruent angles and sides for the pair of congruent triangles MGB WYT

User Joellen
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2 Answers

4 votes

Final answer:

The congruent angles are M=W, G=Y, B=T. The congruent sides are MG=WY, GB=YT, MB=WT.

Step-by-step explanation:

The pair of congruent triangles MGB and WYT have congruent angles and sides. The congruent angles are:

  • Angle M = Angle W
  • Angle G = Angle Y
  • Angle B = Angle T

The congruent sides are:

  • Side MG = Side WY
  • Side GB = Side YT
  • Side MB = Side WT

User Duncan Watts
by
6.8k points
2 votes

Answer:

The congruent angles and sides for the pair of congruent triangles Δ MGB and Δ WYT are given below.

Step-by-step explanation:

See the diagram which is attached below

we have,

Δ MGB ≅ Δ WYT ...........{ Given}

When the triangles are congruent corresponding angles and corresponding sides are congruent.

Congruent angles :

∴ ∠ MGB ≅ ∠ WYT ......{corresponding angles of congruent triangles (c.p.c.t)}

∴ ∠ GBM ≅ ∠ YTW ......{corresponding angles of congruent triangles (c.p.c.t)}

∴ ∠ BMG ≅ ∠ TWY ......{corresponding angles of congruent triangles (c.p.c.t)}

Congruent sides:

∴ MG ≅ WY ......{corresponding sides of congruent triangles (c.p.c.t)}

∴ GB ≅ YT ......{corresponding sides of congruent triangles (c.p.c.t)}

∴ BM ≅ TW ......{corresponding sides of congruent triangles (c.p.c.t)}

Name the congruent angles and sides for the pair of congruent triangles MGB WYT-example-1
User Oliversm
by
6.7k points
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