Geometric Relationships

Question 1

What is a coordinate point?

Answer 1

A pair of numbers defining the position of a point on a two-dimensional plane

It is often represented as (x, y) where x and y are the coordinates.

Question 2

What does the Converse of the Pythagorean Theorem state?

Answer 2

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, the triangle is a right triangle

This theorem is fundamental in determining whether a triangle is right-angled.

Question 3

What is the hypotenuse of a right triangle?

Answer 3

The side of a right triangle that is directly across from the right angle

It is the longest side of the triangle.

Question 4

What are the legs of a right triangle?

Answer 4

Either of the two shorter sides of a right triangle

These two sides form the right angle.

Question 5

What is the altitude of a solid?

Answer 5

The perpendicular distance from the top down to the base

It represents the height of the solid.

Question 6

What is a cone?

Answer 6

A 3-dimensional figure with a circular or elliptical base and one vertex

The vertex is the point where the sides meet.

Question 7

What is a geometric solid?

Answer 7

The collective term for all bounded 3-dimensional geometric figures

Examples include cubes, spheres, and cones.

Question 8

What is a rational number?

Answer 8

Any number that can be expressed as the quotient a/b of two integers, with the denominator b not equal to zero

Rational numbers include integers, fractions, and finite decimals.

Question 9

What is a perfect cube?

Answer 9

The cube of a number n, which is its third power, resulting from the number multiplying by itself three times

For example, 2^3 = 8.

Question 10

What is a cube root?

Answer 10

One of three identical factors of a number that is the product of those factors

For example, the cube root of 27 is 3, since 3 × 3 × 3 = 27.

Question 13

2-

Question 14

S7CK

Question 15

Sphere The ser of au points in space that are e auidistante

Question 16

from a fixed points

Answer 16

caned the center.

Question 17

Diameter distance across the arcle throngn its center. The

Question 18

line segment that in ludes the center and whale endpoints

Question 19

Vie on the uncle.

Question 20

raght Triangles. A triangle with exoutly oneright angle:

Question 21

Distance Formula - An application of the pytha gorean heurem

Question 22

bared on the distance bexween two points

Question 23

perfor Janaress- The product of a rational number multiplied

Question 24

by irself.

Question 25

Altitude of a triangle - The perpindi lordstante between

Question 26

avertex or a triangle and the side apposite that vertex. Sumetimes

Question 27

Lalted the height of a triangle. Also sometimer the line segnent

Question 28

issert is referred to as the altrude.

Question 29

Irrational - A real number Whose demar farm is non- terminating

Question 30

and non-terminating that cannot be written as the vatio or 2:

Question 31

integers

Question 32

PYthagorean Triples - A set of positive integers

Answer 32

a

Question 33

they sit the rule a'+6=131

Question 34

toral EQuation = An eQuation with more than one

Question 35

varicide

Answer 35

tormulas arrelteraleavations.

Question 36

Radius - distance from the center of a circle to any point on the

Question 37

virule. Also sheline segment that has the center of the wille

Question 38

as one endpois and a point un the linkle as the other cropoint.

Question 39

Coordimate plane - A two-dimensional surfale on which points are

Question 40

Hotted and located bas their x ty coordinatess

Question 42

Radical - A symbol that is used tu indicate samote voots.

Question 43

Cylinder- A 3 dimensional obsert WHh

Answer 43

to parranes

Question 44

congruent

Answer 44

and circular bases

Question 45

Py thagorean Theorems A theoroem that states that in an

Question 46

ngint angle

Answer 46

the square of the length at he hypotenuse quar

Question 47

the sum or the sauares of the lengths of the legs.

Question 48

Dedweave Reasoning- process by which one mines (onentions.

Question 49

wing known touts

Answer 49

demnitoes

Question 50

Base /ar a polygon) fer dimen renal eguver any side lan

Question 51

peabase. Mpicamy

Answer 51

nowever the betten side on which

Question 52

the polygon fits' is caned the base

Question 53

root - the I root of a number is a sperial value.

Question 54

that When mutiphd by Adelf gives the numben

Question 55

2 volumes amount of space their an dosest takes up

Question 56

chalpoint

Question 57

ich points are