Unit 7 Lesson 3: Area in the Coordinate Plane

Question 1

area

Answer 1

the amount of space taken up by a two-dimensional shape

Question 2

dimensions

Answer 2

linear measures of distance for a shape (for example, length, width, height)

Question 3

Distance Formula

Answer 3

The distance d
 between two points with the coordinates (x1,y1)
and (x2,y2)
is:

d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Question 3

rectangle

Answer 3

a four-sided shape that has four right angles and two pairs of opposite sides that are parallel and congruent

Question 4

What is the area of a rectangle

Answer 4

The area of a rectangle is the product of its dimensions.

Area = length × width

Question 5

How is determining the length of a horizontal or vertical line segment on a coordinate plane different from determining the length of a line segment that is diagonal?

Answer 5

To determine the length of a horizontal line segment, you can subtract the x-coordinates. To determine the length of a vertical segment, you can subtract the y-coordinates. To determine the length of a diagonal segment, you can use the distance formula.

Question 6

altitude

Answer 6

a line segment drawn from a vertex of a triangle perpendicular to the opposite side

Question 7

circumscribe

Answer 7

to draw a shape around a figure so that the shape intersects the vertices of the figure

Question 8

composite figure

Answer 8

a two-dimensional figure made up of multiple two-dimensional figures; a two-dimensional figure that can be divided into multiple two-dimensional figures

Question 9

proportion

Answer 9

the equating of two ratios

Question 10

trapezoid

Answer 10

a four-sided polygon with exactly one pair of parallel sides

Question 11

ratio

Answer 11

a mathematical comparison of two quantities

Question 12

Triangle Area Formula

Answer 12

The area of a triangle is half the product of its base and height.

Area=12⋅base⋅height

Question 13

Trapezoid Area Formula

Answer 13

Area=(base 1+base 2)\2 ×height