Please help
In a quadrilateral ABCD, the diagonals intersect at point T. Heather has used the Alternate Interior Angles Theorem to show that angle ABD is congruent to angle CDB and that angle BAC is congruent to DCA.

Which of the following can Heather use prove that segment DT is equal to segment TB?

AB ≅ DC
AC ≅ DB
DA ≅ BC
AC ≅ AC

Respuesta :

Answer:

the answer is a

Step-by-step explanation:

Answer:

Heather can use option DA≅BC

Step-by-step explanation:

Here, Using Angle-Side-Angle theorem

Δ DTA ≅ ΔBTC

Alternate angles are:

∠ TDA ≅ ∠ TBC

∠ DAT ≅ ∠ BCT

So, using Parallelogram property:

DA≅BC

Hence, answer is option third.

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