Geometry

Question 1

1. On a triangle where would you find the smallest and biggest angle to be opposite of?
2. If we have a triangle with side lengths of 7 and 14, using the triangle inequality rule which could be the perimeter from the following : 22, 33 or 44

Answer 1

1. The biggest angle is always the opposite longest side and the smallest angle is always opposite the smallest side

2.

Question 2

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Question 3

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Question 4

What do these angles add up to?

• Complementary
• Supplementary

Answer 4

Question 5

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Question 6

A. What is the Pythagorean Theorem and formula

B. What type of triangle does the Pythagorean theorem only work on?

Answer 6

Question 7

In the triangle like the one below:

(1) what must you do when it has large values
(2) workout the length of RS

Answer 7

(1) Find the GCF and scale factor it down and solve missing side . Once solved multiply the value by the scale factor to get the suitable answer

(2)

Question 8

Give two examples of Pythagorean triples

Answer 8

Question 9

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Question 10

Give 5 Main types of Quadrilateral’s and their properties

Answer 10

Question 11

What are the properties of a isosceles trapezoid

Answer 11

Question 12

What is the area of the following:

• Square
• Rectangle, Rhombus, Parallelogram
• Trapezoid

Answer 12

Question 13

How would you solve slanted shapes like the ones below, when questions ask you to find missing lengths and areas?

Answer 13

Question 14

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Question 15

(1) What is the formula for the area of a equilateral triangle?
(2) What type of triangle does the equilateral triangle become when you split it in half?

Answer 15

Question 16

(1) What is the ratio for the sides of a 45-45-90 triangle?

(2) what type of triangle is the 45-45-90 other than a right triangle?

Answer 16

(2) 45-45-90 triangle is also a isosceles triangle

1

Question 17

What is the ratio for the sides of a 30-60-90 right triangle

Answer 17

Question 18

If you cut a square in half diagonally what type of right triangle will it form?

Answer 18

It forms 2 isosceles triangles or 2 45-45-90 right triangles.

Question 19

(1) What is the formula for the interior and exterior angles of a polygon
(2) what is the formula for the interior angles of a REGULAR polygon

Answer 19

(1) Interior angles = 180 x (N-2)
Exterior angles = N/360

(2) Interior angles of Regular polygon = 180 x (N-2)/N

Question 20

Name all parts of the circle below

Answer 20

Question 21

How would you find the following of a circle :

• Circumference (Perimeter)
• Area

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Question 22

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Question 23

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Question 24

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Question 25

What is the formula for the length of a circle arc?

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Question 26

What is the formula for area of a circle’s sector? Use example below

Answer 26

0 = the area of the shaded region.

Question 27

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Question 28

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Question 29

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Question 30

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Question 31

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Question 32

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Question 33

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Question 34

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Question 35

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Question 36

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Question 37

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Question 38

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Question 39

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Question 40

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Question 41

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Question 42

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Question 43

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Question 44

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Question 45

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Question 46

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Question 47

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Question 48

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Question 49

How would you calculate the area of the blue shaded area (outer) within the two circles?

Answer 49

Question 50

What is the formula of a cube for : * Surface area * Volume

Answer 50

Question 51

What is the formula of a cylinder for : * Surface area * Volume

Answer 51

Question 52

What is the formula of a rectangular solid for : * Surface area * Volume

Answer 52

Question 53

What is the formula for the diagonal of a Cube

Answer 53

Question 54

What is the formula for the diagonal of a rectangular solid

Answer 54

Question 55

What is surface area and Volume? What is surface area and volume measured in?

Answer 55

Question 56

How would you workout the side length of a square when you have the diagonal?

Answer 56

Diagonal/Root 2 = side length of square

Question 57

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Question 58

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Question 59

How would you find area of : - Circle inside square - Area of square inside circle

Answer 59

Question 60

Are adjacent sides of a parralellogram equal?

Answer 60

Yes adjacent sides are equal