Properties of a Square

​5.4 Rectangle and Square Properties

Unit 5: Quadrilaterals​

Remember to title and date your notes.​

​A rectangle is a parallelogram. Opposite sides are parallel to each other.

​​Property 1:

​All angles are congruent and 90°.

​​Property 2:

​

​1. Rectangle Properties

Multiple Choice

A quadrilateral has ___ sides.

• 3

• 4

• 5

• 6

Multiple Choice

TRUE OR FALSE:

Both pairs of opposite sides of a rectangle are parallel.

• True

• False

Multiple Choice

A parallelogram with 4 right angles is a ___________.

• Rectangle

• Square

• Octagon

• Decagon

Multiple Choice

Find the value of x.

• x = 50

• x = 40

• x = 30

• x = 90

​Has 2 pairs of congruent opposite sides.

​​Property 3:

​

​Diagonals are congruent (equal). Diagonals bisect each other (cut in half).

​​Property 4:

​

​1. Rectangle Properties Continued

Multiple Choice

TRUE OR FALSE:

Both pairs of opposite sides of a rectangle are parallel and congruent.

• True

• False

Multiple Choice

TRUE OR FALSE:

Consecutive angles of a rectangle are complementary.

• True

• False

Multiple Choice

TRUE OR FALSE:

The diagonals of a rectangle bisect each other.

• True

• False

Multiple Choice

FILL IN THE BLANK:

The diagonals of a rectangle are ____________.

• Parallel

• Perpendicular

• Congruent

Multiple Choice

ABCD is a rectangle.

If AC = 12, then BD = ____ .

• 6

• 12

• 24

Multiple Choice

ABCD is a rectangle.

If AC = 12, then AE = ____ .

• 6

• 12

• 24

Multiple Choice

ABCD is a rectangle.

If AC = 12, then ED= ____ .

• 6

• 12

• 24

​A square is a parallelogram.

​​Property 1:

​

​All angles are congruent and 90°.

​​Propety 2:

​

​Has 4 congruent sides.

​​Property 3:

​2. Square Properties-

Squares are a type of rectangle with all congruent sides.​

Multiple Select

If Sarah wants to draw a quadrilateral with two pair of parallel sides, which quadrilateral(s) could she draw?

• Square

• Rectangle

• rhombus

• parallelogram

Multiple Choice

Each interior angle of a square is _______.

• obtuse angle

• acute angle

• complete angle

• right angle

Multiple Choice

What is the key difference between a square and a rectangle?

• A square has 4 right angles but a rectangle does not.

• A square has 4 equal sides but a rectangle has no equal sides.

• A square has 4 equal sides but for a rectangle, only the opposite sides are equal.

• A square has 4 pairs of perpendicular lines but a rectangle only has 2 pairs of perpendicular lines.

Multiple Choice

The red dash on each of the side of this figure indicates ________

• the side are not all parallel

• the sides are all equal

• the side are all parallel

• the sides are all unequal

​When its 2 diagonals intersect, they form 90°.

​​Property 4:

​Each diagonal bisects a pair of opposite angles (cuts in half).

​​Property 5:

​Diagonals are congruent (equal). Diagonals bisect each other (cut in half).

​​Property 6:

​

​2. Square Properties Continued

​

Multiple Choice

The diagonals of a square 

• form two 45° angles at each vertex
• form two 40° angles at each vertex
• form two 35° angles at each vertex
• form two 50° angles at each vertex

Multiple Choice

MNKL is a square. What is the measurement of angle MKN.

• 180 degrees

• 90 degrees

• 60 degrees

• 45 degrees

Multiple Choice

What does it mean to have diagonals bisect each other?

• That go across each other
• The point where diagonals meet is the midpoint
• The angles are congruent
• The full diagonal line is congruent to the other diagonal line

Multiple Choice

• 90
• 45
• 30
• 180

Multiple Choice

• x=11

• x=18.5

• x=6

• x=45

Multiple Choice

What is PN?

• 23

• 46

• 35.5

Multiple Choice

Find AB

• 11

• 15.6

• 7.8

• 5.5