Geometry Saturday Review

Ch 3 Parallel and Perpendicular Lines

Multiple Choice

Identify the correct statement.

• ∠1 & ∠2
  are corresponding angles
• ∠2 & ∠4
  are corresponding angles
• ∠5 & ∠8
  are corresponding angles
• ∠1 & ∠5
  are corresponding angles

Multiple Choice

What is the formula to find the sum of the interior angles of any polygon?

• ^{(n - 2)360}

• 180n

• (n-2)180

• ((n-2)180)/n

• 360/n

Multiple Choice

If my diameter is 19 inches, what is my radius?

• 38 inches
• 9.5 inches
• 59.66 inches
• 119.32 inches

Multiple Choice

Identify the correct statement.

• ∠1 & ∠8
  are alternate interior angles
• ∠2 & ∠3
  are alternate interior angles
• ∠4 & ∠5
  are alternate interior angles
• ∠7 & ∠4
  are alternate interior angles

Multiple Choice

Find the circumference.

• 6.28km

• 12.56km

• 14.76km

• 7.14km

Multiple Choice

Find the value of X.

• 100° 
• 110° 
• 150° 
• 168° 

Multiple Choice

Identify the correct statement.

• ∠1 & ∠8
  are supplementary angles
• ∠2 & ∠3
  are supplementary angles
• ∠4 & ∠5
  are supplementary angles
• ∠7 & ∠8 
  are supplementary angles

Multiple Choice

Find the length of the bold arc.Leave pi in your answer.

• 5688π ft
• 15.8π ft
• 150.4π ft
• 54,150 ft

Multiple Choice

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47
• 74
• 94
• 123

Fill in the Blanks

What is the value of each exterior angle of a regular 20-gon?

$\degree$   

Multiple Choice

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

Fill in the Blanks

The measure of an exterior angle of a regular polygon is $45\degree$  .

Find the number of sides of the polygon. 

Multiple Choice

what is the area of a circle with the diameter of 10cm ?

• 66cm²

• 78.5cm²

• 66.5cm²

• 10m

Multiple Choice

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

• (3.75, 2.5)
• (3.75, 3.5)
• (4.75, 1.5)
• (5.75, 1.5)

Multiple Choice

Find the area of the shaded sector of the circle.

Multiple Choice

The polygon is regular. Find the value of x.

• 12

• 13

• 14

• 15

Multiple Choice

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

• 161.97 mm²

• 155.37 mm²

• 148.13 mm²

• 142.74 mm²

Explanation Slide...

The polygon has 10 sides.

Multiple Choice

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

• -2

• 1/2

• -1/2

• 2

Quick Review!

Check out out formula before you practice!

Multiple Choice

What is the sum of the exterior angles of a 20-gon?

• 180
• 360
• 3240
• 162

Multiple Choice

Find the area of this polygon.

• 22 mm²

• 110 mm²

• 320 mm²

• 100 mm²

Multiple Choice

What slope is perpendicular to:  
m = 3

• -3
• -1/3
• 1/3
• 3

Multiple Choice

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

• 60°
• 80°
• 108°
• 120°

Multiple Choice

A city has a population of 8792 people. The area of the city is approximately 6.5 square miles. Approximately, how many people per square mile live in the city?

• 57148
• 208
• 1353
• 135

Multiple Choice

Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13

• YES
• NO

Multiple Choice

What is the area of the rhombus? (Figure only show one part of the diagonals.)

• 11 cm²

• 30 cm²

• 22 cm²

• 60 cm²

Multiple Choice

Find the area of the kite.

• 19.5

• 78

• 39

• 27

Multiple Choice

Which equation would be PERPENDICULAR to the given line?

$$y=-7x+2$$  

• $$y=-\frac{1}{7}x-4$$  

• $$y=\frac{1}{7}x+8$$  

• $$y=-3x+2$$  

• $$y=-7x+12$$  

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 4

• 12

• 5

• 2

Multiple Choice

Solve for x.

• 15

• 30

• 23

• 46

Multiple Choice

Find m∠U.

• 95°
• 85°
• 75°
• 90°

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 1

• 10

• 4

• 5

Multiple Choice

Determine if the quadrilateral is a parallelogram and justify.

• opposite sides parallel (def.)

• opposite sides congruent (6.1)

• opposite angles congruent (6.2)

• one set of sides is parallel and congruent (6.4)

• Not a parallelogram.

Multiple Choice

Determine if the quadrilateral is a parallelogram and justify.

• opposite sides parallel (def.)

• diagonals are mutual bisectors (6.3)

• opposite angles congruent (6.2)

• one set of sides is parallel and congruent (6.4)

• Not a parallelogram.

Multiple Choice

Determine if the quadrilateral is a parallelogram and justify.

• opposite sides parallel (def.)

• opposite sides congruent (6.1)

• opposite angles congruent (6.2)

• one set of sides is parallel and congruent (6.4)

• Not a parallelogram.

Multiple Choice

Determine if the quadrilateral is a parallelogram and justify.

• opposite sides parallel (def.)

• opposite sides congruent (6.1)

• diagonals are mutual bisectors (6.3)

• one set of sides is parallel and congruent (6.4)

• Not a parallelogram.

Multiple Choice

A parallelogram must be a rhombus if its diagonals

• are congruent

• bisect each other

• do not bisect its angles

• are perpendicular to each other

Multiple Choice

A parallelogram is always a rectangle if

• the diagonals are congruent

• the diagonals bisect each other

• the diagonals intersect at right angles

• the opposite angles are congruent

Multiple Choice

Which of the following group of quadrilaterals have congruent diagonals?

I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

• All of the above

• II, III and IV

• II and IV, only

• III and IV, only

Multiple Choice

Which of the following group of quadrilaterals have diagonals that are perpendicular to each other?

I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

• All of the above

• II, III and IV

• II and IV, only

• III and IV, only

Multiple Choice

Which information is sufficient to prove that a parallelogram is a square?

• The diagonals are perpendicular and one pair of adjacent sides are congruent.

• The diagonals are congruent and the adjacent sides are perpendicular.

• The diagonals bisect each other and one pair of adjacent sides are perpendicular.

• The diagonals are both congruent and perpendicular.

Multiple Choice

A parallelogram is a square if it has all the properties of

• a rhombus and rectangle

• a parallelogram and rhombus

• a parallelogram and rectangle

• trapezoid and rhombus

Multiple Choice

Find the measure of DG.

• 14
• 28
• 12
• 16

Multiple Choice

Find the value of x.

• 35
• 3
• 33
• None of these

Multiple Choice

Find the value of x.

• 18.5
• 8
• 11
• None of the above.

Multiple Choice

Which of the following statements is true?

• a kite has congruent opposite sides
• a kite has two pairs of congruent angles
• the diagonals of a kite are perpendicular
• the diagonals of a kite form 4 congruent triangles

Multiple Choice

Which of the following statements about a kite is false?

• one diagonal bisects the other diagonal
• two angles are congruent
• the diagonals form 4 congruent triangles
• the diagonals are perpendicular