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Question 5
(03.04 MC)
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? (5 points)
AB - DC
AC-DB
DA-BC
TA-TC

Respuesta :

What Heather can use to prove that side AB is equal to side DC is; TA ≅ TC

How to Interpret Congruent angles?

We are given that;

In quadrilateral ABCD, the diagonals intersect at point T.

Using the alternate interior angles theorem, we have that;

Angle ADB is congruent  to angle CDB; ∠ADB ≅ ∠CDB

Similarly, angle BAC is congruent to angle DCA; ∠BAC ≅ ∠DCA

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , then it means that the resulting alternate interior angles are congruent .

In quadrilateral ABCD, we can see that;

∠ADB ≅ ∠CDB

∠BAC ≅ ∠DCA

We want to prove that DT ≅ TB;

Thus, TA ≅ TC

Read more about Congruent angles at; brainly.com/question/1675117

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