courtj17
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Given: ∠D ≅∠T, ∠E ≅ ∠U, EO ≅ UX

Name the postulate or theorem you can use to prove the triangles congruent.

ASSS Postulate
BSAS Postulate
CASA Postulate
DAAS Theorem

Do you know the answer? Help! Given: D T, E U, EO UX Name the postulate or theorem you can use to prove the triangles congruent. A. SSS Postulate B. SAS Postula class=

Verified Answer :

connoriceee

A cannot be right, as you do not know all 3 sides are equal, you only know one side is.
B cannot be right, as again you only have one side, and need 2
C could be right, but the order is not correct. The side we know is not between the two angles, making this theory incorrect
D is correct, as we have 2 angles next to each other, and a side that is congruent

JeanaShupp

Answer: D. AAS Theorem


Step-by-step explanation:

Given: ∠D ≅∠T, ∠E ≅ ∠U, EO ≅ UX

Then in Δ DOE and Δ TXU

∠D ≅∠T, [Angle]

∠E ≅ ∠U, [Angle]

EO ≅ UX [Side]

From the figure we can see they are two pair of corresponding congruent  angles and one non included sides.

Thus by AAS theorem

Δ DOE ≅ Δ TXU

  • AAS theorem tells that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.

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