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Grade:
8
, Subject:
Math
, Topic:
Geometry Pythagorean Theorem
Question 1:
Which of the following is a required condition for the Pythagorean Theorem?
The shape must be a square
The shape must be a isosceles triangle
The shape must be a right angle triangle
The shape must be a triangle with at least one 30
^{o}
angle
Question 2:
Select the correct definition of the Pythagorean Theorem.
The sum of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.
The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
The sum of the angle of the hypotenuse is equal to the third angle.
The sum of the angle of the hypotenuse is equal to the square of the third angle.
Question 3:
Select the representation of the Pythagorean Theorem for the following picture.
a
^{2}
+ b
^{2}
= c
^{2}
a
^{2}
+ c
^{2}
= b
^{2}
c
^{2}
+ b
^{2}
= a
^{2}
a
^{2}
+ b
^{2}
= 2c
^{2}
Question 4:
Calculate the length of AB.
4 cm
5 cm
6 cm
5.5 cm
Question 5:
Calculate the length of CB.
7 cm
4 cm
8 cm
9 cm
Question 6:
A triangle has the following lengths.
XY = 12 cm, YZ = 16 cm, ZX = 20 cm.
Which angle is the right angle in this triangle?
angle XYZ
angle YZX
angle ZXY
None of them
Question 7:
Calculate the approximate length of CB.
3.545 cm
5.322 cm
6.928 cm
6.113 cm
Question 8:
Calculate the approximate length of AB.
4.434 cm
5.657 cm
6.534 cm
5.234 cm
Question 9:
Which of the following lengths will make a right angle triangle?
100 cm, 50 cm, 50 cm
2 cm, 3 cm, 5 cm
30 cm, 40 cm, 50 cm
30 cm, 40 cm, 100 cm
Question 10:
Calculate the length of AC.
6.944 inch
4.43 inch
9.344 inch
8.944 inch
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