Characteristics and Proofs of a Rectangle: Identifying and defining elements

True or false?

One of the angles in a rectangle may be an acute angle.

One of the properties of a rectangle is that all its angles are right angles.

Therefore, it is not possible for an angle to be acute, that is, less than 90 degrees.

False

Look at the quadrilateral below.

Determine if the quadrilateral is a rectangle.

From the given information, we know that triangle EBC is equilateral.

In an equilateral triangle, all angles are equal to each other.

Therefore, angle B is equal to 60 degrees.

Since we are not informed of any 90-degree angle, we can say that the quadrilateral is not a rectangle.

It is not

Look at the parallelogram ABCD below.

What can be said about triangles ACD and ABD?

According to the side-angle-side theorem, the triangles are similar and coincide with each other:

AC = BD (Any pair of opposite sides of a parallelogram are equal)

Angle C is equal to angle B.

AB = CD (Any pair of opposite sides of the parallelogram are equal)

Therefore, all of the answers are correct.

All answers are correct.

The quadrilateral ABCD is a square.

Is the square a rectangle?

Yes.

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According to the diagram, is the shape a rectangle?

Yes

Look at the polygon in the diagram.

What type of shape is it?

Trapezoid

The quadrilateral ABCD above is a rectangle.

The line EF is drawn parallel and equal to BD.

How many rectangles are there in the drawing?

3

Given:

AC=3

BD=3

AB||CD

According to the data, is it possible to say that the quadrilateral is a rectangle?

Not true

Given the rectangle, calculate the marked angle

120

Which sentence is true?

The diagonals in the rectangle form two pairs of congruent and isosceles triangles.