Chapter 7 Review

Multiple Choice

Which of the following represents the Distance Formula?

• $$a^2\ +\ b^2\ =\ c^2$$

• $$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2\ }-\ y_1\right)^2}$$

Multiple Select

Which of the following shows the correct way to insert the following coordinates into the DIstance Formula?

(3, 4) , (7, 1)

• $$d\ =\ \sqrt{\left(4\ -\ 3\right)^2\ +\ \left(7\ -\ 1\right)2}$$

• $$d\ =\ \sqrt{\left(7\ -\ 3\right)^2\ +\ \left(1\ -\ 4\right)^2}$$

• $$d\ =\ \sqrt{\left(7\ -\ 4\right)^2\ +\ \left(1\ -\ 3\right)^2}$$

• $$d\ =\ \sqrt{\left(3\ -\ 7\right)^2\ +\ \left(4\ -\ 1\right)^2}$$

• $$d\ =\ \sqrt{\left(3\ +\ 7\right)^2\ -\ \left(4\ +\ 1\right)^2}$$

Multiple Choice

Find the distance between the points (5, 7) and (-2, -2).

• 5.7

• 5.8

• 8.6

• 11.4

Multiple Choice

What is the distance between (-3, 2) and (5, -1)

• 11

• 8.5

• 1.7

• 7.3

Pythagorean Theorem

Multiple Choice

Find the missing side.

• 9

• 10

• 12

• 100

Multiple Choice

The Pythagorean Theorem only works for ________ triangles.

• Scalene

• Obtuse

• Equilateral

• Right

Fill in the Blank

Sides a and b are called the _____________

Fill in the Blank

Side c (the hypotenuse) is always the ___________ side.

Multiple Choice

The side that is missing is

• the hypotenuse

• a leg

• We aren't missing a side

• the right angle

Fill in the Blank

Find the missing side.

Round your answer to the nearest tenth.

Fill in the Blank

How far up the building does the ladder reach? Round your answer to the nearest tenth.

Fill in the Blank

How far would it be if you ran diagonally across the field? Round your answer to the nearest tenth.

Multiple Choice

Find the length of the missing side

• 3

• 41

• $$\sqrt{41}$$  

• 9

Multiple Choice

Is $$\frac{77}{3}$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$.\overline{11}$$ rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$-\sqrt{64}$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$\sqrt{40}$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$17.33$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$-7341.2$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Select the only RATIONAL number:

• $$\sqrt{2}$$

• $$\frac{\pi}{4}$$

• $$\pi$$

• $$\sqrt{49}$$

Multiple Choice

Select the ONLY irrational number:

• $$\frac{152}{6}$$

• $$.149203827...$$

• $$3\times\sqrt{4}$$

• $$-.747474747474...$$

Multiple Choice

Is $$-2\pi$$  rational or irrational?

• Rational

• Irrational

Match

Match the following numbers to their square roots.

• 49

• 64

• 81

• 36

• 25

7

8

9

6

5

• 7

• 8

• 9

• 6

• 5

Multiple Choice

Estimate the square root.

• 6.4

• 5.8

• 7.1

• 6.9

Multiple Choice

Which number has a square root that is between 5 and 6?

• 48

• 81

• 28

• 36

• 20

Multiple Choice

Estimate the square root.

• 3.2

• 5.2

• 4.8

• 4.2

Multiple Choice

Compare with <, >, and =.

2.5 ______ √8

• <

• >

• =

Multiple Choice

√ 64

• 4
• 6
• 9
• 8

Multiple Choice

Which point best represents √27?

• point A

• point B

• point C

• point D

• point E

Multiple Choice

√100

• 15
• 10
• 11
• 12

Multiple Choice

Which of the following is NOT a perfect square?

• 1
• 4
• 100
• 8

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 slope of side AB is -3 and the slope of DC is -3. What does this mean?

• Side AB and DC are parallel

• Side AB and AD form a right angle

• Side AB and AD are congruent

• Nothing Specific

Multiple Choice

In the image, side AB has a slope of -3 and AD has a slope of 1/3. What does this mean is true?

• Side AB and AD are parallel

• Side AB and AD form a right angle

• Side AB and AD are congruent

• Nothing Specific

Multiple Choice

What is this formula used for?

$$\frac{y_2-y_1}{x_2-x_1}$$  

• To find the distance between two points

• To find the slope between two points

• To find the midpoint between two points

Multiple Choice

What formula would you use to show lengths are equal?

• Slope Formula

• Distance Formula

• Midpoint Formula

Multiple Choice

If I want to show two lines are parallel what formula do I use?

• Slope

• Distance

• Midpoint

• Pythagorean Theorm

Multiple Choice

How do you prove two lines are parallel?

• Use the distance formula
• Use the midpoint formula
• Use the slope formula and show the slopes are the same
• Use the slope formula and show the slopes are opposite reciprocals

Multiple Choice

Julia proved ETNU is a parallelogram. She notices that side ET has a slope of 1/2 and EN has a slope of -2. What does this mean?

• Side ET and EN are parallel

• Side ET and EN form a right angle

• Side ET and EN are congruent

• Nothing Specific

Multiple Choice

Julia proved ETNU is a parallelogram. She notices that side ET has a slope of 1/2 and EN has a slope of -2. What can she classify ETNU as?

• A rectangle

• A square

• A rhombus

• Just a parallelogram

Multiple Choice

Sarah proved that each side has a distance of

$$\sqrt{29}$$  . What does this mean?

• All 4 sides are congruent

• All 4 sides form right angles

• All opposite sides are parallel

Multiple Choice

Sarah proved that this is a square. The slopes of -2/5 and 5/2 made her able to do this. How come?

• Because those slopes form parallel lines.

• Because those slopes form perpendicular lines, creating right angles.

• Because those slopes make the sides congruent.