Mastering the Pythagorean Theorem and Diagonal Proof
Authored by CARTER GRISAMORE
Mathematics
12th Grade
CCSS covered
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24 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has legs of lengths 6 cm and 8 cm. What is the length of the hypotenuse?
10 cm
12 cm
14 cm
16 cm
Tags
CCSS.8.G.B.7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a square has a side length of 5 cm, what is the length of its diagonal?
5 cm
7 cm
10 cm
Tags
CCSS.8.G.B.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the Pythagorean theorem be used to determine if a triangle with sides of lengths 9, 12, and 15 is a right triangle?
It cannot be used to determine if it's a right triangle
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder is leaning against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet away from the wall, how long is the ladder?
13 feet
14 feet
15 feet
17 feet
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In proving the Pythagorean theorem using algebra, which of the following is a necessary step?
Demonstrating that the area of a square is equal to the sum of the areas of four right triangles and a smaller square
Showing that the sum of the angles in a triangle is 180 degrees
Proving that all triangles are right triangles
Establishing that the sum of the squares of the legs is equal to the square of the hypotenuse
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following figures always contains right triangles?
Equilateral triangles
Isosceles triangles
Squares
Circles
Tags
CCSS.2.G.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has one angle of 90 degrees and the lengths of the two legs are 7 cm and 24 cm. What is the length of the hypotenuse?
25 cm
31 cm
17 cm
29 cm
Tags
CCSS.8.G.B.7
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