Pythagorean Theorem Converse

Open Ended

Why do you think understanding the converse of a mathematical statement is important in geometry?

Open Ended

Explain how you would use the converse of the Pythagorean Theorem to determine if a triangle with sides 15 in, 12 in, and 21 in is a right triangle.

Open Ended

Work this on your notes: Do the side lengths provided create a right triangle? Why or why not?

Open Ended

Work this on your notes: Do the side lengths provided create a right triangle? Why or why not?

Open Ended

Work this on your notes: Do the side lengths provided create a right triangle? Why or why not?

Open Ended

Refer to your notes: Who is correct about the window frame, Jimmy or his wife, and why?

Open Ended

Refer to your notes: Will Patty's garden be in the shape of a right triangle if she uses pieces measuring 7 feet, 10 feet, and 8 feet? Why or why not?

Open Ended

Refer to your notes: The perimeters of three squares are 48 ft, 140 ft, and 148 ft. Could these squares be positioned to form a right triangle? Why or why not?

Exit Ticket (Pick 1)

Option #1: Explain how the activity we did today models the Pythagorean Theorem.

Option #2: Draw a triangle that would not be a right triangle based on what we learned about the Pythagorean Theorem.

Multiple Choice

Is this triangle a right triangle?

• yes
• no

Multiple Choice

Use the converse of the Pythagorean Theorem to determine if the triangle is acute, right, or obtuse

• Acute
• Right
• Obtuse

Multiple Choice

Is this triangle a right triangle?

• yes
• no

Multiple Choice

in a right triangle, the side opposite the right angle

• leg

• hypotenuse

• vertices

• exponent

Multiple Choice

either side of a right triangle that forms the right angle

• leg

• hypotenuse

• vertex

• square root

Multiple Choice

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

• 9
• 40
• 41

Multiple Choice

Do the sides 15, 30 and 34 make a right triangle?

• yes
• no

Multiple Choice

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

• yes
• no

Multiple Choice

Which set of side lengths form a right triangle?

• 4, 8, 12
• 12, 16, 20

• 20, 21, 29
• 48, 55, 74

Multiple Choice

Which set of side lengths does not form a right triangle?

• 38, 80, 88

• 16, 63, 65
• 3, 4, 5

• 14, 15, 29

Multiple Choice

Do the segment lengths 9, 12, and 16 form a right triangle?

• Yes

• No