Converse of Pythagorean Theorem

Do the following squares form a right triangle?  Why or why not?

• No, because 9+15 does not equal 16
• No, because the squares are not equal
• Yes, because the squares are all different sizes
• Yes, becuase 9+15=16

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

• Yes
• No

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8

The triangular sail of a toy sailboat is supposed to be a right angle.  The manufacturer says the sides of the sail have lengths of 4.5 inches, 6 inches, and 7 inches.  Is the sail a right triangle? 

• No
• Yes

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Alan made a small four-sided table for his office.  The opposite sides of the table are 27 inches long and 36 inches long.  If the diagonal of the table measures 40 inches, does the table have right angles at the corners?  Why or why not?

• Yes, because it's a rectangle and rectangles have 90 degree angles in the corners
• Yes, because 27 and 36 are less than 40
• No, because 27²+36² does not equal 40²
• No, because 27+36 does not equal 40

Tags

CCSS.HSG.CO.C.11

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

_{^{Find the missing side}}

• 36
• 76.8
• 12
• 40

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14
• 10
• 5.3
• 2

Tags

CCSS.HSG.GPE.B.7

CCSS.HSG.SRT.C.8

• Yes
• No

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

• Yes
• No

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11