Exploring Unit Eleven: Pages 7-9 Concepts

The video tutorial covers the separation of composite figures into simpler shapes like triangles and rectangles, and calculating their areas. It then explains how to find the area of regular polygons using the apothem and perimeter. The tutorial also classifies 3D figures such as prisms, pyramids, cylinders, and spheres, and discusses their cross-sections.

What is the area of a composite figure consisting of a triangle with a base of 8 units and height of 9 units, and a rectangle with a base of 8 units and height of 4 units?

• 80 square units

• 68 square units

• 72 square units

• 64 square units

Tags

CCSS.3.MD.C.7D

If a semicircle has an area of 12.5π and a trapezoid has an area of 45.5, what is the total area of the composite figure?

• 45.5π + 12.5 square units

• 57.5π square units

• 58 square units

• 12.5π + 45.5 square units

Tags

CCSS.6.G.A.1

How do you find the height of a parallelogram using the Pythagorean theorem?

• By extending the base and height to form a right triangle

• By measuring the sides directly

• By using the area formula for a rectangle

• By dividing the base by the height

Tags

CCSS.6.G.A.1

What is the formula for the area of a regular polygon?

• 1/2 * base * height

• 1/2 * apothem * perimeter

• π * radius^2

• base * height

In a regular hexagon, what is the measure of each central angle?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

How do you classify a prism?

• A solid with one base and triangular faces

• A solid with all points equidistant from the center

• A solid with two congruent and parallel bases

• A solid with a circular base and a vertex

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the defining feature of a pyramid?

• It has two bases that are congruent and parallel

• It is a solid with all points equidistant from the center

• It has one base and sides that meet at a vertex

• It has a circular base and no vertex

Tags

CCSS.7.G.A.3

What shape is formed by the cross-section of a cylinder when cut parallel to its base?

• Rectangle

• Hexagon

• Circle

• Triangle

Tags

CCSS.7.G.A.3

What shape is formed by the cross-section of a cone when cut vertically through its apex?

• Rectangle

• Circle

• Trapezoid

• Triangle

Tags

CCSS.7.G.A.3

What is the cross-section of a sphere when cut through its center?

• Rectangle

• Hexagon

• Triangle

• Circle

Tags

CCSS.7.G.A.3