9E: Applying Pythagorean Theorem

Quiz
•
Mathematics
•
8th Grade
•
Medium
+1
Standards-aligned
Toni Allen
Used 47+ times
FREE Resource
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Pythagorean Theorem ONLY works on which triangle?
obtuse
scalene
isosceles
right
Answer explanation
The pythagorean theorem only works for right triangles.
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the longest side of a right triangle.
leg a
leg b
leg
hypotenuse
Answer explanation
The longest side of a right triangle is the hypotenuse, the side opposite of the right angle.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The side lengths of a right triangle are 24, 45 and 51. Which side is the hypotenuse?
51
24
45
Can't determine
Answer explanation
The hypotenuse is always the longest side. For a triangle with lengths 24, 45, and 51, 51 is the longest side.
Tags
CCSS.HSG.CO.C.10
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Pythagorean Theorem is
a2 + b3 = c4
false
true
Answer explanation
The pythagorean theorem for right triangles is:
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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
Answer explanation
The next step is to use an inverse operation to "unravel" the exponent above c.
(Triangles can only have positive side lengths)
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the value of x.
7
8
9
10
Answer explanation
Tags
CCSS.8.G.B.7
7.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Find the missing side (hint: use what you know about estimating irrational numbers to answer)
9
41
6.4
6.2
Answer explanation
(is between 6 and 7, slightly closer to 6)
Tags
CCSS.8.G.B.7
8.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Level 2
Solve for the value of y
13
5
23
10
Answer explanation
(triangles can only have positive side lengths)
Tags
CCSS.8.G.B.7
9.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Find the distance between these two points. Use what you know about pythagorean theorem and estimating irrationals.
6.3
6.5
6.7
16
Answer explanation
Distance between y-values, vertical: 3-1 = 2
Distance between x-values, horizontal: 4-(-1) = 6
*between 6 and 7, but closer to 6
Tags
CCSS.HSG.GPE.B.7
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