Triangles and MAAP Mixed Review

Triangles

Triangles

Interior Angles

The three interior angles of a triangle MUST add up to equal 180^o.

Multiple Choice

The three interior angles of a triangle will have a sum of _____.

• $$100\degree$$

• $$180\degree$$

• It varies by triangle.

• $$360\degree$$

Multiple Choice

Find the measure of angle W.

• 29° 
• 39° 
• 49° 
• 59° 

Multiple Choice

Find the measure of angle D.

• $$140\degree$$

• $$16\degree$$

• $$40\degree$$

• $$90\degree$$

Multiple Choice

If two angles of a triangle are $$30\degree$$ and $$70\degree$$ , the third angle measures...

• $$80\degree$$

• $$100\degree$$

• $$60\degree$$

• $$90\degree$$

Multiple Choice

Which set of angles would NOT create a triangle?

• $$45\degree,\ 45\degree,\ 90\degree$$

• $$100\degree,\ 23\degree,\ 67\degree$$

• $$85\degree,\ 47\degree,\ 48\degree$$

• $$40\degree,\ 60\degree,\ 80\degree$$

Triangles

SIDES

The two smallest sides of a triangle must have a sum greater than the longest side of the triangle.

Multiple Choice

Can the sides of a triangle have lengths 3 cm, 4 cm, and 9 cm?

Hint:

small side + small side > longest side

• Yes
• No

Multiple Choice

Can the sides of a triangle have lengths 4 in, 11 in, and 13 in?

Hint:

small side + small side > longest side

• Yes
• No

Multiple Choice

What is a possible third side to a triangle with side lengths of 13 mm and 4 mm?

• 9 mm

• 12 mm

• 8 mm

• 5 mm

Multiple Choice

Which of the following does NOT represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm
• 5 cm, 2 cm, 5 cm
• 5 cm, 5 cm, 8 cm
• 3 cm, 10 cm, 15 cm

Angles are not unique.

Since all triangles have 180^o, three angles that add to 180^o can make many different triangles.

Not Unique = many

Side lengths are unique.

If you have 3 lengths and can create a triangle, you have 1 UNIQUE triangle.

Unique = only 1

Unique or Not Unique

You need to have this copied this down in your notes. Study it!!

Multiple Choice

In order to have a unique triangles, I have to know the _____.

• angles measurements

• side lengths

Multiple Choice

In order to have many triangles, I have to know the _____.

• angles measurements

• side lengths

Multiple Choice

How many triangles can be created with side lengths of 3 cm, 4cm, and 5 cm?

• only 1 unique triangle

• multiple triangles

• no triangles

Multiple Choice

How many triangles exist with the following angle measures?

100°, 100°, 50°

• No triangles exist with the given angle measures.

• More than one triangle exists with the given angle measures.

• Exactly one unique triangle exists with the given angle measures.

Categorize

Options (6)

4 m, 10 m, 8 m

20^o, 65^o, 95^o

45^o, 45^o, 45^o

8 in, 8 in, 8 in

45^o, 45^o, 90^o

1 m, 5 m, 6 m

Determine if each measurement can create one unique triangle, many triangles, or no triangle.

UNIQUE (1)

NOT UNIQUE (many)

IMPOSSIBLE (none)

Triangles & Equations

Finding the value of x.

Use the fact that you know that all triangles have an interior angle sum of 180^o to find missing values.

Multiple Choice

Solve for x.

• x = 5

• x = 12

• x = -7

• x = -6

Multiple Choice

Solve for x.

• x = 16

• x = 11

• x = 50

• x = 6

Multiple Choice

Find the value of r.

• r = 11

• r = 25

• r = 35

• r = 50

Time to...

Multiple Choice

A gardener uses $$\frac{4}{5}$$ gallon of water to water $$\frac{1}{6}$$ of a garden. At this rate, how much water is needed to water the entire garden?

• $$\frac{2}{15}$$ gallon

• $$\frac{5}{24}$$ gallon

• $$4\frac{4}{5}$$ gallons

• $$7\frac{1}{2}$$ gallons

Multiple Select

Which two equations are correct?

• $$-13.2\cdot-15=-198$$

• $$-13.2\cdot-15=198$$

• $$13.2\cdot-15=-198$$

• $$13.2\cdot-15=198$$

• $$13.2\cdot15=-198$$

Multiple Choice

Angle QRS and angle UST are vertical angles.

Which statement is true?

• The value of x is 2.4.

• The value of x is 30.

• The value of x is 33.6.

• The value of x is 159.

Multiple Choice

The total grams of sugar, s, in n cookies can be represented by the equation $$s=9.4n$$ .

What is the constant of proportionality of the equation?

• 4.7

• 9.4

• 18.8

• 28.2

Multiple Choice

A store sells sneakers, jackets, and backpacks. The table shows the price per item.

A customer buys 2 jackets and 3 backpacks for $202.00. What is the price of 1 backpack?

• $45.50

• $56.42

• $136.50

• $169.25

Multiple Choice

What is the decimal equivalent of $$-\frac{11}{4}$$ ?

• -11.4

• -2.75

• 2.75

• 11.4

Multiple Choice

A weather forecast indicates it is likely that it will rain in a town today.

Which could be the probability of it raining in the town today?

• 0.5
• 0.9
• 0.1

• 0.3

Multiple Choice

A school builds a playground. Consider the blueprint of the playground.

What is the area of the playground?

Area of Trapezoid = $$\left(b_1+b_2\right)\cdot h\div2$$

• 34.2 square yards

• 189 square yards

• 229.5 square yards

• 459 square yards

Multiple Choice

The graph shows the relationship between the total cost, y, in dollars, for x pounds of bananas.

What does point M on the graph represent?

• The cost of 35 pounds of bananas is $1.00.

• The cost of 35 bananas is $1.00.

• The cost of 1 pound of bananas is $0.35.

• The cost of 1 banana is $0.35.

Multiple Choice

Classify the following number:
$$1.01011011101111....$$

• rational

• irrational

• none of these

Multiple Choice

Find the area.

• $$20\ cm^2$$

• $$56\ cm^2$$

• $$28\ cm^2$$

• $$27\ cm^2$$

Multiple Choice

Find the volume.

• $$84\ cm^3$$  

• $$420\ cm^3$$  

• $$402\ cm^3$$  

• $$60\ bcm^3$$  

Multiple Choice

The box plots show the amount of time farmers from two farms spent harvesting crops over the past 2 months. What inference can be made based on the IQR of both farms?

• Farm 2 has more variability in hours spent harvesting.

• Farm 1 has more consistent hours spent harvesting.

• Farm 2 has more consistent hours spent harvesting.

• Both farms are equally varied in the hours spent harvesting.