Triangle and Area Concepts

Mr. Richards reviews grade six practice problems on polygons, focusing on identifying polygons, counting vertices and edges, and calculating areas of trapezoids, hexagons, and triangles. He explains different methods for finding the area of a hexagon and demonstrates how to draw triangles with a specific area. The lesson emphasizes understanding geometric properties and applying area formulas.

Which of the following shapes is a polygon?

• A shape with curved sides

• A shape with line segments and no gaps

• A three-dimensional shape

• A shape with overlapping lines

How many vertices does a shape with 12 edges have?

• 11

• 10

• 12

• 13

What is the area of a trapezoid with a base of 6 units and a height of 3 units?

• 18 square units

• 15 square units

• 12 square units

• 9 square units

Lynn decomposes a hexagon into six equilateral triangles. What is the area of one triangle if the total area is 93.6 square inches?

• 12.6 square inches

• 18.6 square inches

• 31.2 square inches

• 15.6 square inches

Andre uses a rectangle and two triangles to find the area of a hexagon. What is the area of the rectangle if the total area is 93.6 square inches?

• 31.2 square inches

• 62.4 square inches

• 60.4 square inches

• 64.2 square inches

What is the base of a triangle if its height is 2 and the area is 11 square units?

• 11

• 10

• 12

• 11.5

If a triangle has a base of 11 and a height of 2, what is its area?

• 13 square units

• 10 square units

• 11 square units

• 12 square units

Which base-height combination will give a triangle an area of 8 square units?

• Base: 4, Height: 2

• Base: 8, Height: 2

• Base: 4, Height: 4

• Base: 16, Height: 1

If a triangle has a base of 16 and a height of 1, what is its area?

• 8 square units

• 16 square units

• 4 square units

• 12 square units

How many different triangles can be drawn with a base of 4 and a height of 4 to have an area of 8 square units?

• 1

• 2

• 3

• 4