Geometry

Question 1

To what do three angles in a triangle add up?

Answer 1

180 degrees

Question 2

Most commonly used right triangle triples? (a^2+b^2=c^2 triples)

Answer 2

3-4-5 (and its multiples)
5-12-13 (and its multiples)
7-24-25 (and its multiples)

Question 3

What is the hypotenuse of an isosceles right triangle?

Answer 3

X(square root of 2)

When X= length of AN equal side

Question 4

In a 30-60-90 (degrees) triangle how long is the hypotenuse?

Answer 4

It is always double the shortest side.

Question 5

In a 30-60-90 (degrees) triangle how long is the medium side?

Answer 5

X(square root of 3)

When X=length of the shortest side.

Question 6

What is the area formula for a triangle?

Answer 6

Area= (base x height)/2

Question 7

How do you solve a similar triangle equation?

Answer 7

You set up a proportion equation.

Question 8

What do the degrees of interior angels of a quadrilateral add up to?

Answer 8

360 degrees

Question 9

How many angles do parallelograms have in reality?

Answer 9

Two

Question 10

What is the area formula for a trapezoid?

Answer 10

1/2(base 1 + base 2)(height)

(The average of two parallel sides x the height)

Question 11

What is the formula for the area of a circle?

Answer 11

Pi(r^2)

Question 12

What is the formula for the circumference of a circle?

Answer 12

2pi(r)

Question 13

How long is diameter?

Answer 13

Twice the radius.

Question 14

What is the difference between an equilateral, isosceles, and non-equal triangles?

Answer 14

All sides are equal, two sides are equal and no sides are equal.

Question 15

Which angles are supplementary in a parallelogram?

Answer 15

Adjacent angles

Question 16

What is the first step of subtracting an angle from a circle?

Answer 16

Divide the angle by 360

Question 17

Pythagorean theorem

Answer 17

a^2+b^2=c^2

Question 18

Sum of angles in an n-sided polygon?

Answer 18

(n-2)180 degrees

Question 19

Angle measures in a regular n-sided polygon?

Answer 19

[(n-2)180]/n

Question 20

What is the arc of a circle?

Answer 20

A part of the circumference.

Question 21

Bisect

Answer 21

To cut in half

Question 22

Chord

Answer 22

Any line connecting two points on the edge of a circle

Question 23

What is the name of the longest chord?

Answer 23

Diameter

Question 24

Circumscribed

Answer 24

Surrounded by a circle as small as possible

Question 25

Collinear

Answer 25

Lying in the same line

Question 26

Congruent

Answer 26

Equal in size

Question 27

Diagonal of a polygon

Answer 27

A line segment connecting two opposite vertices

Question 28

Inscribed (angle in a triangle)

Answer 28

An angle in a circle with its vertex on the circumference

Question 29

Perpendicular

Answer 29

At a 90 degree angle

Question 30

Plane

Answer 30

A flat surface extending in all directions

Question 31

Polygon

Answer 31

A closed figure with 2 or more sides

Question 32

Regular polygon

Answer 32

A figure with all equal sides and angles

Question 33

Sector

Answer 33

Any part of the area formed by two radii and the outside of the circle

Question 34

Similar

Answer 34

Equal angles and proportional sides

Question 35

Surface area

Answer 35

The sum of areas of each face of a figure

Question 36

Tangent

Answer 36

Intersecting at 1 point

Question 37

Vertex or vertices

Answer 37

A corner point. For angles, it’s where two rays meet. For figures, it’s where two adjacent sides meet