EOC Review: Questions Ch 7 - 11

Ch 7 Quadrilaterals and Polygons

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

Find the value of X.

• 100° 
• 110° 
• 150° 
• 168° 

Fill in the Blank

What is the value of each exterior angle of a regular 20-gon? ____ $$\degree$$   

Fill in the Blank

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

Find the number of sides of the polygon. 

Multiple Choice

The polygon is regular. Find the value of x.

• 12

• 13

• 14

• 15

Multiple Choice

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

• 180
• 360
• 3240
• 162

Multiple Choice

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

• 60°
• 80°
• 108°
• 120°

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

Ch 8 Similarity

Multiple Choice

If the scale factor is greater than 1, the new figure

• stays the same

• gets smaller

  (a reduction)

• gets larger

  (an enlargement)

Multiple Choice

If the scale factor is between 0 and 1, the new figure

• stays the same

• gets smaller

  (a reduction)

• gets larger

  (an enlargement)

Multiple Choice

The formula for finding the scale factor is

• $$\frac{Old\ \left(Original\right)\ Image}{New\ \left(to\right)\ Image}$$

• $$\frac{New\ \left(to\right)\ Image}{Old\ \left(Original\right)\ Image}$$

Fill in the Blank

Scale factor from G to H is

Be sure to write your answer in simplest form.

If necessary, write your answer as an improper fraction.

/

Multiple Choice

Look at the two triangle in the picture. The two triangles are similar. Select the correct similarity statement.

• $$\Delta ACB\sim EFD$$

• $$\Delta CBA\sim\Delta DEF$$

• $$\Delta ABC\sim\Delta DEF$$

• None of the statements above are correct.

Multiple Choice

Look at the picture. Find the missing side length. Select your answer below

• A

• B

• C

• D

Multiple Choice

If the triangles are similar, state how.

• AA: Two angles congruent

• SSS: Three sides congruent

• SSS: Three sides proportionate

• SAS: Two sides proportionate + included angle congruent

• Not similar

Multiple Choice

The triangles are similar. State the reason and complete the similarity statement.

• $$\Delta RST\sim\Delta RHG$$ by $$SAS\sim$$

• $$\Delta RST\sim\Delta RHG$$ by $$SSS\sim$$

• $$\Delta RST\sim\Delta GHR$$ by $$SAS\sim$$

• $$\Delta RST\sim\Delta RGH$$ by $$AA\sim$$

Multiple Choice

The triangles are similar. State the reason and complete the similarity statement.

• $$\Delta JKL\sim\Delta ABC$$ by $$SSS\sim$$

• $$\Delta JKL\sim\Delta BCA$$ by $$SSS\sim$$

• $$\Delta JKL\sim\Delta CAB$$ by $$SSS\sim$$

• $$\Delta JKL\sim\Delta BCA$$ by $$SSS\sim$$

Multiple Choice

The triangles are similar. State the reason and complete the similarity statement.

• $$\Delta PQR\sim\Delta TUV$$ by $$SAS\sim$$

• undefined by undefined

• $$\Delta PQR\sim\Delta VUT$$ by $$SSS\sim$$

• $$\Delta PQR\sim\Delta VUT$$ by $$AA\sim$$

Multiple Choice

Find the missing length indicated.

Write down your work.

• 30

• 25

• 45

• 50

Multiple Choice

Solve for DC

• 1.5
• 17.1
• 8.4
• 3.5

Ch 9 Right Tri and Trigonometry

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle? 

• Obtuse

• Right

• Acute

• Isosceles

Multiple Choice

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

• 6

• 6.7

• 3

• Not enough information

Multiple Choice

_{^{Find the missing side}}

• 9
• 41
• 6.4
• 6.2

Multiple Choice

a = 2.1, b = 7.2, c = 7.5

Is this a right triangle?

• yes

• no

Multiple Choice

Acute, right, or obtuse?

• Acute
• Right
• Obtuse

Multiple Choice

Acute, right, or obtuse

• Acute
• Right
• Obtuse

Multiple Choice

Find a - the length of the hypotenuse.

• 2√6
• 2√3
• 3
• 6

Multiple Choice

What is the value of x?

• 12√2
• 2√12
• 24
• 2

Multiple Choice

Find the value of x.

• 3 sqrt(2)
• 3
• 6 sqrt(2)
• 6

Multiple Choice

What is the length of the missing side? (Long Leg)

• $$5$$  

• $$10$$  

• $$\sqrt[]{5}$$  

• $$5\sqrt[]{3}$$  

Multiple Choice

What is the value of y?

• $$50\sqrt[]{3}$$  

• $$25\sqrt[]{3}$$  

• 100

• 25

Math Response

Find a.

Type answer here

Correct Answer: 3\sqrt{3}

Deg^°

Rad

Multiple Choice

What is geometric mean of 4 and 9?

• 5
• 6
• 7
• 8

Multiple Choice

Find the value of y. 

• 4
• 2√6
• 6√2
• 12

Multiple Choice

Find the value of y. 

• 5
• 10√30
• √300
• 10√3

Multiple Choice

 FInd tanX

• 32/40
• 40/24
• 32/24
• 24/32

Multiple Choice

What is the correct equation to solve for x ?

• tan (58) = x/11
• tan (58) = 11/x
• cos (58) = x/11
• sin (58) = x/11

Multiple Choice

What is the correct equation to solve for x ?

• tan( 46 ) = 17/x
• sin ( 46 ) = x/17
• tan (46 ) = x/17
• cos (46) = x/17

Multiple Choice

Find the measurement of the missing side indicated

• 4.39
• 3.21
• 2.19
• 2.05

Multiple Choice

Choose the correct ratio.

• $$\cos\left(33\right)=\frac{x}{14}$$  

• $$\sin\left(33\right)=\frac{x}{14}$$  

• $$\cos\left(33\right)=\frac{14}{x}$$  

• $$\sin\left(33\right)=\frac{14}{x}$$  

Multiple Choice

Choose the correct ratio.

• $$\sin\left(37\right)=\frac{x}{14}$$

• $$\cos\left(37\right)=\frac{x}{14}$$

• $$\tan\left(37\right)=\frac{x}{14}$$

• $$\sin\left(37\right)=\frac{14}{x}$$

Multiple Choice

Find the length of side w.

• 21.4 cm
• 18.0 cm
• 36.5 cm
• 43.6 cm

Multiple Select

In the given figure, what is the angle of elevation?

• ∠B

• ∠D

• ∠C

• ∠A

Multiple Choice

∠Y illustrates angle of elevation.

• TRUE

• FALSE

• MAYBE

• NOT SURE

Multiple Choice

Solve for m∠N                                                                                                                                               

• 14
• 65
• 76
• 53

Multiple Choice

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4

Multiple Choice

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

• 32°
• 44°
• 61°
• 50°

Ch 10 Circles

Multiple Choice

The chord of the circle is best represented by...

• $$\overline{EF}$$  

• $$\overline{CD}$$  

• $$\overrightarrow{CB}$$  

• $$\overleftarrow{A}\overrightarrow{B}$$  

Multiple Choice

The Tangent of the circle is best represented by...

• $$\overleftarrow{G}\overrightarrow{H}$$  

• $$\overline{EF}$$  

• $$\overleftarrow{E}\overrightarrow{F}$$  
  

• $$\overline{AB}$$  
  

Multiple Choice

The Point of Tangency of the circle is best represented by...

• Point C

• Point G

• Point D

• Point E

Multiple Choice

The Secant of the circle is best represented by...

• $$\overleftarrow{E}\overrightarrow{F}$$  

• $$\overline{EF}$$  

• $$\overleftarrow{G}\overrightarrow{H}$$  
  

• $$\overline{AB}$$  
  

Multiple Choice

The tangent line and radius are ___ to each other.

• parallel

• perpendicular

Multiple Choice

Determine if a tangent line is shown in the picture.

• Yes

• No

• Not sure

Multiple Choice

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

• 11.7

• 10.8

• 13.0

• 14.2

Multiple Choice

What is the value of x?

• A
• B
• C
• D

Multiple Choice

Classify arc JL

• minor arc

• major arc

• semicircle

Multiple Choice

Find the measure of arc JKL

• $$60\degree$$

• $$120\degree$$

• $$240\degree$$

• $$300\degree$$  

Multiple Choice

Classify arc JKM

• minor arc

• major arc

• semicircle

Multiple Choice

Find the m RS

• 160

• 138

• 147

• 200

Multiple Choice

Find x

• 10
• 5
• 18
• 9

Multiple Choice

Find the value of x.

• 10
• 181
• 34
• 40

Multiple Choice

Find the value of x.

• 15
• 13
• 3
• 6

Multiple Choice

• 278⁰
• 297⁰
• 90⁰
• 105⁰

Multiple Choice

Find the value of x.

• 12.5
• 8
• 35
• 16

Multiple Choice

What is x?

• 15

• 23

• 2

• 92

Multiple Choice

Find the measure of arc AB.

• 17
• 34
• 68
• 146

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Find the measure of <E.

• 7
• 8
• 44

Fill in the Blank

Find the indicated measure. Enter your answer as a number only.

Fill in the Blank

Find the indicated measure. Enter your answer as a number only.

Fill in the Blank

Find the indicated measure. Enter your answer as a number only.

Multiple Choice

Determine the value of x using the information in the diagram.

• 136º

• 70º

• 68º

• 66º

Multiple Choice

Determine the value of x using the information in the diagram.

• 60º

• 70º

• 80º

• 100º

Multiple Choice

Determine the value of x using the information in the diagram.

• 190º

• 130º

• 120º

• 70º

Multiple Choice

Solve for x.

• 10
• 85
• 170
• 180

Multiple Choice

What is the value of w?

• 75
• 105
• 150
• 210

Multiple Choice

Solve for x.

• 29
• 33
• 41.5
• 50

Multiple Choice

What is the measure of angle 2?

• 80
• 45
• 125
• 40

Multiple Choice

Find the measure of the missing arc.

• 70°

• 100.5°

• 201°

• 140°

Multiple Choice

In the diagram, two chords intersect inside the circle. Solve for x.

• 14
• 12
• 19
• 17

Multiple Choice

Solve for x.

• 12

• 1.5

• 1

• 4

Multiple Choice

Solve for x.

• 18

• 144

• 12

• 16

Multiple Choice

Which is the correct equation of a circle whose centered at (-1, -5) and has a radius of 5?

• (x + 1)² + (y - 5)² = 25

• (x - 1)² + (y - 5)² = 25

• (x - 1)² + (y + 5)² = 25

• (x + 1)² + (y + 5)² = 25

Multiple Choice

Which is the correct equation of the given circle?

• (x + 1)² + (y - 3)² = 9

• (x - 1)² + (y + 3)² = 9

• (x + 1)² + (y + 3)² = 9

• (x - 1)² + (y - 3)² = 9

Multiple Choice

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units
• Center (4,3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 5 units

Ch 11 Circumference and Area

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

Find the circumference.

• 6.28km

• 12.56km

• 14.76km

• 7.14km

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

Multiple Choice

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

• 66cm²

• 78.5cm²

• 66.5cm²

• 10m

Multiple Choice

Find the area of the shaded sector of the circle.

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

Multiple Choice

Find the area of this polygon.

• 22 mm²

• 110 mm²

• 320 mm²

• 100 mm²

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

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