Geo Un6Wk1 - Pythagorean Theorem Lesson

Review the Pythagorean Theorem & Its Converse

Multiple Choice

What is the longest side of a right triangle called?

• Leg A

• Leg B

• Hypotenuse

• Hippopotamus

Multiple Choice

What is the formula for Pythagorean theorem?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c

Fill in the Blanks

Find the length of the missing side.

Multiple Choice

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Multiple Choice

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft
• 11ft
• 6ft
• 14ft
• none of these

Multiple Choice

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

• 55 miles

Converse of the Pythagorean Theorem

Multiple Choice

Does a triangle with these side lengths exist?

15, 12, 9

• Yes

• No

Multiple Choice

Can the sides of a triangle have lengths 3, 8, and 9?

• Yes
• No

Multiple Choice

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

• Yes
• No

Multiple Choice

State if the three side lengths form an acute, obtuse, or right triangle.

15, 16, 20

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

Multiple Choice

State if the three side lengths form an acute, obtuse, or right triangle.

8, 13, 17

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

Multiple Choice

State if the three side lengths form an acute, obtuse, or right triangle.

2.8, 19.1, 19.7

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

Multiple Choice

State if the three side lengths form an acute, obtuse, or right triangle.

5.1, 6.7, 11.9

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

Multiple Choice

State if the three side lengths form an acute, obtuse, or right triangle.

3, 22.4, 22.6

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

Multiple Choice

State if the three side lengths form an acute, obtuse, or right triangle.

$$9,\ 8,\ \sqrt{106}$$  

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

Multiple Choice

State if the three side lengths form an acute, obtuse, or right triangle.

$$6,\ \sqrt{133},\ 13$$  

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

Multiple Select

Pythagoras was an ancient Greek _________.

Mark all that apply

• Philosopher

• Politician

• Mathematician

• Mechanic

• Founder of a religion

Explanation Slide...

Yes, Pythagoras founded a religion. In fact, the Pythagorean secret society/religion lasted about 1000 years.

Multiple Choice

True of False.

Pythagoras discovered his famous theorem.

• True...that's why it's named after him !

• False...he is credited with its discovery. In truth, he only left a proof that the relationship is valid.

Poll

After this review, I feel ---- about using the Pythagorean theorem and its converse.

• very good/ very confident

• good/confident

• eh, so-so

• lost! what do I do?

• other: my thoughts/feelings are not listed here