Lesson on 8.G.5

Multiple Choice

The Pythagorean Theorem is

a² - b² = c²

• false

• true

leg = a or b

hypotenuse = c

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Right Triangles

Multiple Choice

Which side is highlighted?

• Adjacent

• Opposite

• Hypotenuse

Multiple Choice

Given a right triangle, name the hypotenuse.

• CB

• AC

• AB

• ab

Multiple Choice

What is always true about the hypotenuse?

• Is the shortest side of the triangle.

• Is the height of the triangle.

• Is labeled as b.

• Is the longest side of the triangle.

Multiple Choice

Which side is always labeled c?

• hypotenuse

• leg

Multiple Choice

Which side is always labeled a or b?

• hypotenuse

• leg

Draw

​ ​ ​ Draw a right triangle and label the sides using: Leg, Leg, Hypotenuse

Multiple Choice

What is the length of the hypotenuse

• 13

• 5

• 12

• 10

Multiple Choice

What is the length of the leg that we know

• 13

• 5

• 12

• 10

Drag and Drop

The Pythagorean Theorem is ​

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Placeholder

Drag these tiles and drop them in the correct blank above

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Multiple Choice

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

• True

• False

Fill in the Blanks

How many square units are in square A?

Fill in the Blanks

How many square units are in square B?

Open Ended

Describe how I can use the areas of squares A and B to find the area of square C

Fill in the Blanks

How many square units are in square C?

Multiple Choice

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

Multiple Choice

If you are solving to find a missing leg, should you add or subtract?

• Add

• Subtract

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

Find the missing side length.

• $$\sqrt[]{73}\ cm$$  

• $$\sqrt[]{17}\ \ cm$$  

• $$73\ \ cm$$  

• $$\sqrt[]{13}\ \ cm$$  

Multiple Choice

Find the missing side length.

• $$\sqrt[]{5}\ ft$$  

• $$\sqrt[]{493}\ ft$$  

• $$\sqrt[]{31}\ ft$$  

• $$\sqrt[]{155}\ ft$$  

Multiple Choice

Level 2

Solve for the value of y

• 13

• 5

• 23

• 10

Multiple Choice

Find h

• 35.60

• 35.00

• 35.71

• 61.03

The Converse of Pythagorean Theroem

Which one is not a right triangle?

Multiple Choice

Which statement is the MOST accurate about the converse of the Pythagorean Theorem?

• The converse is used to determine an unknown side length.

• The converse is only useful with right triangles

• The converse is used to determine if a triangle is or is not a right triangle

• The converse always works out that a²+b²=c²

Multiple Choice

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

• yes

• no

Multiple Choice

Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.

• No, because 10+11 does not equal 13

• No, because 100+121 does not equal 169

• Yes, because there is a small side, medium side and long side

• Yes, because a triangle has 3 sides

Multiple Choice

Would a triangle with these side lengths be a right triangle?
4, 5, 6

• Yes

• No

Multiple Choice

Which set of side lengths form a right triangle?

• 4, 8, 12

• 12, 13, 20

• 20, 21, 29

• 48, 55, 74

Multiple Choice

which is the correct order for a coordinate set

• (x, y)

• (y, x)

Fill in the Blanks

Multiple Choice

Use the picture to help you answer the question. Make sure to: -ID the legs and hypothenuse -Plug in those values into  $$a^2+b^2=c^2$$  

-Simplify the exponents -Get the variable by itself -No need to take the square root this time:)

• $$\sqrt{20}$$  

• $$\sqrt{21}$$  

• $$\sqrt{40}$$  

• $$\sqrt{58}$$  

Multiple Choice

Use the coordinate grid to answer questions about Carla's visit to the movie theater. If Carla is late to the movie and wants to take the quickest path (from point A to point B), how far will she have to travel? HINT: Find the distance of both legs by counting the units AND THEN figure out the hypotenuse using... $$a^2+\ b^2=c^2$$  

• 7 units

• 8 units

• 9 units

• 12 units

Multiple Choice

Find the distance between these two points.

• 13

• 7.9

• 9.2

• 3.6