Pre-Algebra FAST Final Review Day 1

Triangle Relationships

Triangle Relationships!

Triangles...triangles...and more triangles...

Triangle Inequality Theorem

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 8, 10

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 4, 16, 19

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 11, 20

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 15, 26

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 6, 14, 21

• Yes

• No

Multiple Choice

What is the missing side length of a right triangle with sides of 10 and 6?

• 12

• 8

• 3

• 5

Multiple Choice

What is the missing side length of a right triangle with sides of 24 and 26?

• 10

• 12

• 15

• 23

Poll

Would you rather...

• Get abducted by aliens, and live to tell the story?

• Have an encounter with a monster from an urban legend, and live to tell the story?

Pythagorean Theorem

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

Labelling

Label each side of the right triangle.

Drag labels to their correct position on the image

Hypotenuse

Leg

Leg

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!

Drag and Drop

The Pythagorean Theorem is ​

Placeholder

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Placeholder

Drag these tiles and drop them in the correct blank above

Multiple Choice

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

• x² + 15² = 21²

• 15² + 21² = x²

• 21² + 15² = x²

Multiple Select

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

• Divide both sides by 2

• Take the square root of both sides

• 25 IS the final answer

Multiple Choice

Determine the length of the missing side.

• 7

• 8

• 17

• 23

Multiple Choice

Find the value of x.

• 7
• 8
• 9
• 10

Multiple Choice

solve for c

• 7
• 9
• 4
• 13

Fill in the Blanks

Math Response

The flagpole shown is supported by two wires. Find the length of each wire.

Round to the nearest hundredths place.

Type answer here

Correct Answer: 17.33

Deg^°

Rad

Math Response

The skyscrapers shown are connected by a skywalk with support beams. Find the

length of each support beam.

Round to the nearest hundredths place.

Type answer here

Correct Answer: 52.95

Deg^°

Rad

Poll

Would you rather...

• Be stuck in an elevator?

• Be trapped in a cave?

Triangle Angles!

Interior angles of a Triangle

• The angles inside a polygon are

  called interior angles.

• When the

  sides of a polygon are extended,

  other angles are formed. The angles

  outside the polygon that are

  adjacent to the interior angles

  are called exterior angles.

Interior Angle Measures of a Triangle

• The sum of the interior angle

  measures of a triangle is 180°.

• x + y + z = 180

Multiple Choice

In a triangle, how many total degrees are there?

• 100%
• 180 degrees
• it varies
• 360 degrees

Multiple Choice

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

• 32
• 39
• 45
• 54

Multiple Choice

Find the measure of the indicated angle. 

• 95
• 85
• 35
• 45

Find the value of x

Multiple Choice

Solve for x.

• -11

• -12

• -6

• 11

Exterior Angle Measures of a Triangle

• The measure of an exterior angle

  of a triangle is equal to the sum

  of the measures of the two

  nonadjacent interior angles.

• z = x + y

Find the value of x

Find the value of a

Multiple Choice

Which of the following terms best describes Angle d?

• Remote interior angle

• Corresponding angle

• Exterior angle

• Interior angle

Multiple Choice

What is the measure of angle b?

• 36^o

• 56^o

• 63^o

• 117^o

Multiple Choice

Which of the following angles can you add together to equal angle d?

• Angle a and Angle b

• Angle b and Angle c

• Angle a and Angle c

• Angle a and Angle b and Angle c

Poll

Would you rather...

• Get abducted by aliens, and live to tell the story?

• Have an encounter with a monster from an urban legend, and live to tell the story?