Geometry

Question 1

Acute Angle

Answer 1

Question 2

Right Angle

Answer 2

Question 3

Straight Angle

Answer 3

Question 4

Obstuse Angle

Answer 4

Question 5

360° Angle

Answer 5

Question 6

Supplementary Angles

Answer 6

Angles are supplementary if their measures sum to 180°

Question 7

Exterior Angle of a Triangle

Answer 7

An exterior angle of a triangle is equal to the sum of its two remote interior angles

Question 8

Parallel Lines Intersected by a Transversal

Answer 8

Question 9

Area of Triangle

Answer 9

Question 10

Triangle Inequality Theorem

Answer 10

In any triangle, the sum of the lengths of any two sides of the triangle is greater than the length of the third side

Question 11

Pythagorean Theorem

Answer 11

Question 12

Pythagorean Triples

Answer 12

• 3-4-5 Right Triangle
• 5-12-13 Right Triangle

Question 13

Isosceles Right Triangle

Answer 13

Question 14

The Ratio of the Sides of a 45-45-90 RIght Triangle

Answer 14

Question 15

The Hypotenuse of a 45-45-90 Right Triangle is the Diagonal of Square

Answer 15

A square’s diagonal cuts the square into two 45-45-90 right triangles

Question 16

The Ratio of the Sides of 30-60-90

Answer 16

Question 17

The Area of an Equilateral Triangle

Answer 17

Question 18

Cutting an Equilateral Triangle in Half

Answer 18

Dropping an altitude from the upper vertex to the base of an equilateral triangle produces two identical 30-60-90 traingles

Question 19

The Parallelogram

Answer 19

• Opposite sides are equal
• Opposite angles are equal

Question 20

Rectangle

Answer 20

Question 21

The Longest Line Segment of a Rectangle

Answer 21

The longest segment is the diagonal

Question 22

The Square

Answer 22

• Perimeter = 4 x side
• Area = side²

Question 23

The Maximum Area of a Rectangle

Answer 23

Given a rectangle with a fixed perimeter, the rectangle with the maximum area is a square

Question 24

The Trapezoid

Answer 24

Question 25

The Minimum Perimeter of Rectangle

Answer 25

Given a rectangle with a fixed area, the rectangle with the minimum perimeter is a square

Question 26

Interior Angles of a Polygon

Answer 26

The sum of the interior angles of a polygon = `(n - 2) x 180`, where n = the number of sides in the polygon

Question 27

Hexagons

Answer 27

Question 28

Exterior Angles of Any Polygon

Answer 28

They always sum to 360°

Question 29

Circles

Answer 29

Question 30

Arc Length and Sector Area

Answer 30

Question 31

Right Triangle Inscribed in a Circle

Answer 31

Question 31

Inscribed Angles in Circles

Answer 31

Question 32

Regular Polygons Inscribed in Circles

Answer 32

When a regular polygon is inscribed in a circle, the polygon divides the circle into arcs of equal length

Question 33

The Area of Circular Ring

Answer 33

Question 34

The Cylinder

Answer 34

Question 35

The Cube

Answer 35

Question 36

The Rectangular Solid

Answer 36

Question 37

The Diagonal of Cube

Answer 37

Question 38

The Diagonal of a Rectangular Solid

Answer 38