2D & 3D Pythagorean

Doug and his dog Burt are deciding which way they will walk to a friend's house. How much longer is their walk if they take the blue path (L shape) than if they take the pink path (straight path)?

• 8.06 blocks
• 11 blocks
• 19.06 blocks
• 2.94 blocks

Tags

CCSS.8.G.B.8

What is the approximate width of the base?

• 7 ft
• 5 ft
• 3 ft
• 2 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

What is the distance the spooky spider travels if it crawls up the entire diagonal inside the coffin.

• 2 units
• 6 units
• 100 units
• 32 units

Tags

CCSS.8.G.B.7

if a = 3 in.,  b = 12 in.,  and c = 4 in., what is the length of d rounded to the nearest hundredth of a foot?

• 12.65 in.
• 5 in.
• 13 in.
• 12 in.

Which of the following points on an x-y coordinate plane have x equal to 21 and are 29 units from the origin? 

• (21,20)
• (21,36)
• (20,21)
• (-20,21)

Use the Pythagorean theorem to find the distance between the points (–2,11) and (8,15).

• 10.77
• 10
• 7.21
• 6

Which of the following points are a distance of exactly 5 units from the point (4,3)?

• (-1,2)
• (1,-1)
• (1,6)
• (8,7)

What is the distance between the points (–20,20) and (20,–20)?

• 0
• 20
• 28.3
• 56.6

A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x? 

• 31.3
• 32.3
• 33.3
• 64

Tags

CCSS.8.G.B.7