Figure abcde has vertices a(−2, 3), b(2, 3), c(5, −2), d(0, −3), and e(−2, −2). plot the points on your own coordinate grid and connect the points in alphabetical order. decompose figure abcde into rectangles and triangles.

part a: after you plot the points on your coordinate grid. describe in detail the process used to solve for the area

part b: what is the area?

Part A. See below.

Part B. 6

Step-by-step explanation:

Figure ABCDE consists of two triangles.

Part A. How to calculate the area.

Area = area of ∆ADE  + area of ∆BCD

The formula for the area of a triangle is  

A = ½bh

Note that the triangles are "upside-down." The bases are at the top.

For ∆ADE:

b = AD = x₂ - x₁ = 0 - (-2) = 2

h = AE = y₂ - y₁ = 3 -    2   = 1

For ∆BCD:

b = BD = x₂ - x₁ = 0 - (-2) = 2

h = BF = y₂ - y₁ = 3 - (-2) = 5

Part B. Calculating the area.

For ∆ADE:

A = ½ × 2 × 1 = 1

For ∆BCD:

A = ½ × 2 × 5 = 5

For ABCDE:

A = 1 + 5 = 6

The area of the figure is 6 square units.

answer: it's d

step-by-step explanation:

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.