Lesson 11: Polygons | Unit 1: Area and Surface Area

Multiple Select

Select **all** the polygons.

• A

• C

• E

• D

• B

Draw

Mark each vertex with a large dot on the polygon shown in the image.

Multiple Choice

How many edges and vertices does the polygon have in the image?

• The number of edges and vertices depends on the specific polygon in the image.
• The polygon has 6 edges and 8 vertices.
• The polygon has 4 edges and 4 vertices.
• The polygon has 3 edges and 5 vertices.

Open Ended

Find the area of this trapezoid. Explain or show your reasoning.

Open Ended

Find the area of the hexagon using Lin's method, where the hexagon is decomposed into six identical, equilateral triangles. Show your reasoning.

Open Ended

Find the area of the hexagon using Andre's method, where the hexagon is decomposed into a rectangle and two triangles. Show your reasoning.

Open Ended

Find the area of this polygon. Show your reasoning.

Draw

Draw a pentagon (five-sided polygon) that has an area of 32 square units. Label all relevant sides or segments with their measurements, and show that the area is 32 square units.

Open Ended

Find the area of this quadrilateral. Explain or show your strategy.

Draw

Decompose this polygon so that its area can be calculated. Here is a polygon. All measurements are in centimeters.