chapter 10 math G7

Multiple Choice

The √40 is between which two integers?

• 39 and 41

• 6 and 7

• 5 and 6

• 19 and 21

Multiple Choice

The √21 is between which two integers?

• 5 and 6

• 20 and 22

• 4 and 5

• 10 and 11

Multiple Choice

What is the area of a square with a side of 7?

• 14

• 28

• 49

• 64

Multiple Choice

In between what two integers is the square root of 44?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7

Multiple Choice

The area of a square is 36 cm².  What is the length of one side?

• 6 cm

• 24 cm

• 9 cm

• 9 cm

Multiple Choice

Square root is the inverse of ____________.

• Cube Roots

• Squaring

• Multiplication

• Absolute Value

Multiple Choice

If you have 196 chairs and you need to arrange them in an equal amount of row and columns, how many chairs will be in each row?

• 12

• 13

• 14

• 15

Multiple Choice

Which of the following is NOT a perfect square?

• 1

• 4

• 100

• 8

Multiple Choice

Which of the following is not a perfect square?

• 110

• 4

• 1

• 81

Multiple Choice

What is the area of a square with a side of 12?

• 144

• 24

• 48

• 6

Multiple Choice

A perfect square is when a whole number is multiplied by itself?

• FALSE

• TRUE

Multiple Choice

To find the square root of a number, you must divide it by 2.

• True

• False

Multiple Choice

12) Which pair of numbers are both between 6 and 7?

Multiple Choice

Between which 2 consecutive numbers on the number line does the square root of 23 lie?

• -5 and -4

• -2 and -1

• 2 and 3

• 4 and 5

Multiple Choice

The area of a square is 117 square meters. Which best represents the length of a side of the square? 

• 10.8 m

• 11 m

• 10 m

• 11.2 m

Multiple Choice

What is 11 squared?

11²

• 132

• 144

• 121

• 22

Multiple Choice

What is 64 squared?

64²

• 4096

• 8

• 16

• 128

Multiple Choice

What is 5 squared?

5²

• 2.5

• 25

• 125

• 10

Multiple Choice

What is the square root of 100?

√100

• 10

• 200

• 50

• 1000

Multiple Choice

What is the square root of 36?

√ 36

• 4

• 6

• 18

• 1296

Multiple Choice

What is 16 squared?

• 8

• 256

• 4

• 32

Multiple Choice

What is the square root of 81?

• 3

• 162

• 6561

• 9

Multiple Choice

What is 25 squared?

• 50

• 5

• 625

• 125

Multiple Choice

What number squared is 9?

• 9

• 18

• 3

• 81

Multiple Choice

200

• is a perfect square

• is not a perfect square

Multiple Choice

169

• Is a perfect square.

• Is not a perfect square.

Multiple Choice

Which of the following is a perfect square?

• 39

• 50

• 24

• 81

Multiple Choice

The √21 is between which two integers?

• 5 and 6

• 20 and 22

• 4 and 5

• 10 and 11

Multiple Choice

The √40 is between which two integers?

• 39 and 41

• 6 and 7

• 5 and 6

• 19 and 21

Multiple Select

Select all sets that the number belongs to:

-6

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

0.5

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

$$0.\overline{4}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

0.32482418....

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

$$\sqrt{25}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

2

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

0

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

$$\frac{3}{5}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

$$\pi$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:
$$\sqrt{13}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:
$$\frac{2}{3}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:
$$\frac{-10}{2}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

4.00

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

$$1.\overline{12}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:

$$\left|-10\right|$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:
$$\sqrt{3}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:
$$6^0$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:
$$\frac{12}{4}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Select

Select all sets that the number belongs to:
$$\frac{4}{3}$$  

• Irrational Number

• Rational Number

• Integer

• Whole Number

• Natural Number

Multiple Choice

A never ending decimal that doesn't repeat in a pattern is which type of number?

• Rational

• Irrational

• None of these

Multiple Choice

A decimal that stops is which type of number? Example: 2.75

• Rational

• Irrational

• None of these

Multiple Choice

A repeating decimal is what type of number?

• Rational 

• Irrational

• None of these

Multiple Choice

Which answer includes ALL of the classifications of the following number:

0

• Rational, Integer

• Rational

• Rational, Integer, Whole

• Rational, Integer, Whole, Natural

Multiple Choice

Which statement is true?

• Every rational number is an integer

• Every whole number is a natural number

• Every integer is a whole number

• Every whole number is a rational number

Multiple Choice

Which word does NOT describe 5?

• Whole

• Integer

• Rational

• Irrational

Multiple Choice

Which of the following is irrational?

• Square root of 81

• Square root of 9

• Square root of 144

• Square root of 12

Multiple Choice

Which statement is FALSE?

• Every rational number is a real number.

• Every decimal number is an irrational number.

• Every integer is a rational number.

Multiple Choice

Explain the error(s).

• -1.2 isn't an integer.

• -2 isn't a whole number and 3.4 isn't a rational number.

• -2 isn't a whole number and -1.2 isn't an integer.

• The numbers are graphed correctly.

Multiple Choice

Which of the following best defines rational numbers?

• numbers that can be written as a fraction or decimal that either terminates or continues forever in a repeating pattern

• numbers that make sense

• numbers that go on forever and ever with out a repeating pattern

• numbers cannot be written as a fraction

Multiple Choice

Which of the following best defines irrational numbers?

• numbers that can be written as a fraction or decimal that either terminates or continues forever in a repeating pattern

• numbers that make sense

• numbers that go on forever and ever without a repeating pattern and cannot be written as a fraction

• fractions

Multiple Choice

Classify the following number:
1.01011011101111....

• Rational

• Irrational

• None of these

Multiple Choice

A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?

• acute triangle

• right triangle

• obtuse triangle

• none of the above

Multiple Choice

A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. What type of triangle is this?

• equilateral triangle

• isosceles triangle

• scalene triangle

• none of the above

Multiple Choice

When classifying a triangle by its sides, what type of triangle has exactly two equal sides?

• equilateral triangle

• isosceles triangle

• scalene triangle

• none of the above

Multiple Choice

In a triangle, what is the sum of the interior angles?

• 100%

• 180 degrees

• it varies

• 360 degrees

Multiple Choice

Find the measure of the indicated angle. 

• 95

• 85

• 35

• 45

Multiple Choice

Find the measure of the indicated angle. 

• 26

• 36

• 85

• 144

Multiple Choice

Find the missing angle.

• 29° 

• 39° 

• 49° 

• 59° 

Multiple Choice

Which would be the best classification for the triangle shown?

• acute isosceles

• right scalene

• acute scalene

• obtuse scalene

Multiple Choice

Which would be the best classification for the triangle shown?

• right isosceles

• obtuse scalene

• obtuse isosceles

• right scalene

Multiple Choice

What is the value of x?

• 60

• 5

• 10

• -3

Multiple Choice

Triangle DEF has a missing angle measure. If the m∠E is 93 degrees and the m∠F is 24 degrees. What is the measure of angle D?

• 63

• 36

• 90

• 76

Multiple Choice

Triangle DEF. If the m∠E is 60 degrees and the m∠F is 60 degrees. What type of triangle is this?

• acute, isosceles

• obtuse, isosceles

• acute, equilateral

• acute, scalene

Multiple Choice

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 

• 45°

• 90°

• 180°

• 360°

Multiple Choice

Find the measure of the missing angle.

• 90^o

• 10⁰

• 130^o

• 50^o

Multiple Choice

Classify each triangle by its angles and sides.

• Acute, Isosceles

• Obtuse, Isosceles

• Right, Scalene

• Equiangular, Equilateral,

• Acute, Scalene

Multiple Choice

Classify each triangle by its angles and sides.

• Acute, Isosceles

• Obtuse, Isosceles

• Right, Scalene

• Equiangular, Equilateral,

• Acute, Scalene

Multiple Choice

Classify each triangle by its angles and sides.

• Acute, Isosceles

• Obtuse, Isosceles

• Right, Scalene

• Equiangular, Equilateral,

• Acute, Scalene

Multiple Choice

What type of triangle has only one obtuse angle and two congruent sides?

• Right Isosceles Triangle

• Obtuse Isosceles Triangle

• Right Scalene Triangle

• Acute Scalene Triangle

Multiple Choice

What type of triangle has only acute angles and no congruent sides?

• Right Isosceles Triangle

• Obtuse Isosceles Triangle

• Right Scalene Triangle

• Acute Scalene Triangle

Multiple Choice

Does the set of numbers represent a right triangle?

20, 25, 15

• Yes

• No

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Multiple Choice

What is the opposite of squaring a number?

• divide

• multiply 

• fractions

• square root

Multiple Choice

Do the lengths form a right triangle? 6, 8, 10

• yes

• no

Multiple Choice

_{^{Find the missing side}}

• 36

• 76.8

• 12

• 40

Multiple Choice

solve for x

• 5552363959656.

• 10

• 100

• 89

Multiple Choice

solve for the value of y

• 13

• 5

• 23

• 10

Multiple Choice

solve for c

• 7

• 9

• 4

• 13

Multiple Choice

What is the length of x?

• 5

• 7

• 8

• 25

Multiple Choice

_{^{Find the missing side}}

• 9
• 26.9
• 37
• 18.2

Multiple Choice

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Multiple Choice

solve for the value of y

• 13

• 5

• 23

• 10

Multiple Choice

The diagonal of a rectangle is 25 in. The width is 15 in. What is the length of the rectangle?

• 20 inches

• 29.2 inches

• 400 inches

• 625 inches

The Sides of a Triangle

The shorter sides of the triangle are always the legs.

The longest length of a triangle is always the hypotenuse.

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Multiple Choice

Side c on a right triangle is ALWAYS the longest.

• true

• false

Multiple Choice

Which side is the hypotenuse?

• 9

• x

• 14

Multiple Choice

Which sides are the legs of the triangle?

• 9 and 15

• 9 and 12

• 12 and 15

• 15

How to Solve

1. Determine what side is missing.

2. Plug in what you know into the equation.

3. Simplify the equation.

4. Solve for the missing side.

5. If needed round to the nearest tenth!

Multiple Choice

Which equation can be used to solve for "x"?

• 15² – x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² – 15² = x²

Multiple Choice

Determine the length of the missing side.

• 7

• 8

• 17

• 23

Multiple Choice

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

Multiple Choice

Find the value of x.

• 7

• 8

• 9

• 10

Multiple Choice

solve for c

• 7

• 9

• 4

• 13

Word Problems

When solving word problems, it helps to draw a triangle and fill in the missing information.

Multiple Choice

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Poll

How do you feel about applying and using the Pythagorean theorem?

• I am lost

• I think I get it

• I got it

• EASY PEASY

Multiple Choice

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

Multiple Choice

What is the measure of a?

• 3

• 3√3

• 6

• 3√2

Multiple Choice

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3

• 16√3

• 32

• 16√2

Drag and Drop

In a 30-60-90 Right Triangle, the HYPOTENUSE is ​

Placeholder

the short leg.

Drag these tiles and drop them in the correct blank above

twice

half

Drag and Drop

In a 30-60-90 Right Triangle, the SHORT LEG is ​

Placeholder

​ the hypotenuse.

Drag these tiles and drop them in the correct blank above

half

twice

Multiple Choice

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Equiangular

• Equilateral

Multiple Choice

Find a.

• 9

• $$9\sqrt{3}$$

• $$\frac{9}{2}$$

• $$6\sqrt{3}$$

Multiple Choice

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √3

Multiple Choice

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

• Multiply that leg by 2

• Use the same length for the second leg

• Multiply that leg by √2

• Divide that leg by √2

Multiple Choice

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

Multiple Choice

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.

• Multiply that leg's length by √2.

• Multiply that leg's length by 2.

• Divide that leg's length by √2.

Multiple Choice

I have been given a hypotenuse in this 45-45-90 triangle.  How do I find the length of a leg of the triangle?

• Multiply by √2

• Divide by √2

• It's the same length as the hypotenuse.

• Divide by 2

Multiple Choice

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

Multiple Choice

Which side is the long leg in this 30-60-90 triangle?

• 4

• u

• v

Multiple Choice

Which side is the short leg of this 30-60-90 triangle?

• 6

• m

• n

Multiple Choice

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √3

Multiple Choice

Find x.

• 10

• √3

• 5

• 10√3

Multiple Choice

Find x.

• 4

• 2

• √3

• 2√2

Multiple Choice

Find x.

• 10

• 20

• 10√3

• √3

Multiple Choice

Find x.

• 12

• √2

• √3

• 6

Multiple Choice

What is the measure of side c?

• 6

• 6√2

• 6√3

• 12

Multiple Choice

What is the measure of side c?

• 7

• $$\frac{7}{\sqrt{2}}$$

• 7√2

• 14

Multiple Choice

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

Multiple Choice

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8