Question

Find the area of each figure to the nearest tenth.

Answer 1

Area of triangle ABC=7 square units

Area of triangle A'B'C'=7 square units

Explanation:

Triangle ABC is the preimage of triangle A'B'C' under a reflection in the line x=0.

The two triangles are congruent so they have the same area.

We can calculate the area by counting the unit squares the triangle covered.

Each full box is 1 units square.

Each triangle covered

1 full box and 12 partially covered boxes.

Each partial box covered is 0.5 square units.

Therefore the area is

`Area=1+0.5*12`

`Area=1+6`

`Area=7` square units