Understanding Rectangles and Parallelograms

What is a defining characteristic of a rectangle?

• It has no right angles.

• It has two right angles.

• It has four right angles.

• It has four acute angles.

Which property is unique to rectangles among parallelograms?

• Diagonals are congruent.

• Opposite sides are parallel.

• Consecutive angles are supplementary.

• Diagonals bisect each other.

In the example of the rectangle garden gate, if JK is 12 feet and LN is 6.5 feet, what is the length of KM?

• 12 feet

• 6.5 feet

• 19.5 feet

• 13 feet

What is the purpose of using diagonal braces in construction, as mentioned in the example?

• To prevent sagging

• To enhance aesthetic appeal

• To increase height

• To reduce weight

In a rectangle, if angle RTU is 8x + 4 and angle SUR is 3x - 2, what is the value of x?

• 8

• 7

• 9

• 6

What is the sum of angles in a triangle formed within a rectangle?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

Which method is used to determine if a quadrilateral is a parallelogram in the example?

• Distance formula

• Volume formula

• Slope formula

• Area formula

What is the result when the diagonals of a parallelogram are congruent?

• The parallelogram is a square.

• The parallelogram is a trapezoid.

• The parallelogram is a rhombus.

• The parallelogram is a rectangle.

In the distance formula example, what is the length of diagonal JL if it simplifies to 25 + 25?

• 50

• 5

• 10

• 25

What is the significance of congruent diagonals in a quadrilateral?

• It confirms the quadrilateral is a rectangle.

• It confirms the quadrilateral is a square.

• It confirms the quadrilateral is a rhombus.

• It confirms the quadrilateral is a trapezoid.