HEL M PLEAS In quadrilateral ABCD, the diagonals intersect at point T. Thomas has used the Alternate Interior Angles Theorem to show that angle ADB is congruent to angle DBC and that angle DBA is congruent to angle BDC. Which of the following can Thomas use to prove that side AB is equal to side DC? AC ≅ AC AC ≅ DB TA ≅ TC DB ≅ DB

The rectangle ABCD and the congruent angles are shown in the diagram below.

We know that T is a midpoint.

That gives us the length of TD = length of TB, also TA = TC

Look for triangle ATD and BTC, we have so far that:

TD = TB and TA = TC

∠DAT = ∠BCT (properties of alternate angles)

∠ATD = ∠BTC (properties of opposite angles)

By the postulate SAS (Side Angle Side) we can deduce that AD = BC

TB = TD (Fourth option)

Step-by-step explanation:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .