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In this lesson, we will learn how to solve problems using properties of rectangles.

Q1:

If , , , and , what values of and make parellelogram a rectangle?

Q2:

A rectangular park has two walking paths as shown. If π π = 1 0 0 m and π π = 2 1 3 m , find the length of π π .

Q3:

Are the opposite angles equal in rectangles and parallelograms?

Q4:

Are the opposite angles in squares and rectangles equal?

Q5:

Which of the following statements must be true about a rectangle?

Q6:

In the figure below, given that π΄ π΅ πΆ π· is a rectangle, π π΅ πΆ π» is a parallelogram, and π΄ π = 3 . 7 c m , find the length of π» π΄ .

Q7:

A rectangle is a special type of parallelogram that has .

Q8:

Determine the diagonal length of the rectangle whose perimeter is 326.4 cm and length is 115.2 cm.

Q9:

In rectangle π π π πΏ , which side is perpendicular to π π ?

Q10:

The diagonals of a rectangle are and .

Q11:

Given that π΄ π΅ πΆ π· is a rectangle, where πΈ πΆ = 6 π₯ β 7 and π΄ πΈ = 2 π₯ + 5 , find π· πΈ .

Q12:

In a rectangle, all angles are angles.

Q13:

Do the sides of a rectangle have to be equal in length?

Q14:

Are the diagonals of a rectangle always perpendicular?

Q15:

Do the two diagonals of a rectangle or a square bisect each other?

Q16:

Are the opposite sides of a rectangle parallel?

Q17:

Does the measure of any angle in a rectangle equal 4 5 β ?

Q18:

A square and a rectangle are .

Q19:

In rectangle π π π πΏ , which side length is equal to π π ?

Q20:

The two diagonals of a rectangle are .

Q21:

In a rectangle π΄ π΅ πΆ π· , which line is perpendicular to π΄ π΅ ?

Q22:

Are the angles in a rectangle right angles?

Q23:

What is the name for a parallelogram in which one of the angles is a right angle?

Q24:

In this rectangle, π π = 7 π , π π = 2 1 , and π π = 2 8 . Find the value of π .

Q25:

Is the sum of two consecutive angles in rectangles and parallelograms equal to 1 8 0 β ?

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