Question

Which statement can be used to fill in the blank space?

Answer 1

If we draw a diagonal which will also be a transversal DB, then we get ∠ADB is congruent to ∠CBD by Alternate interior angles.

It will be the first option.

Answer 2

The statement is option (A) ∠ ADB and ∠CBD satisfies the alternate interior angle theorem.

What is a rectangle?

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The diagram below shows the rectangle ABCD.

The diagonals AC and BD are drawn.

From the diagram,

According to alternate interior angle theorem, $\angle ADB$ and $\angle CBD$ are alternate interior angles .

Hence we can conclude that the statement is option (A) ∠ ADB and ∠CBD satisfies the alternate interior angle theorem.

Learn more about the rectangles here

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