Exploring Geometry Concepts in Sections 11.1 & 11.2

The video tutorial covers Section 11.11.2, focusing on calculating areas of various geometric shapes such as parallelograms, triangles, trapezoids, rhombuses, and kites. It explains the area addition and congruence postulates and provides multiple examples to illustrate the calculation of perimeter and area for these shapes. The tutorial also includes practical problems, such as determining the materials needed for a triangular sandbox and calculating the area of a trapezoidal deck.

What does the Area Addition Postulate state about the area of a region?

• It is the sum of the areas of its non-overlapping parts.

• It is always equal to the area of the largest part.

• It is determined by the longest side of the region.

• It is the product of the lengths of all sides.

If two figures are congruent, what can be said about their areas?

• Their areas cannot be determined.

• Their areas are the same.

• Their areas depend on their color.

• Their areas are different.

How do you find the perimeter of a parallelogram?

• Add all four sides.

• Add the lengths of two adjacent sides and multiply by two.

• Subtract the smaller side from the larger side.

• Multiply base by height.

What is the area of a parallelogram with a base of 32 inches and a height of 16 inches?

• 64 square inches

• 512 square inches

• 48 square inches

• 256 square inches

How is the height found in a parallelogram when given a 45-degree angle?

• Using the sine function

• Using the cosine function

• Using the tangent function

• Dividing the side by the square root of 2

What is the area of a trapezoid with bases of 3 cm and 2.5 cm, and a height of 1 cm?

• 1.375 square cm

• 11 square cm

• 2.75 square cm

• 5.5 square cm

In a 3-4-5 triangle, if the shorter sides are 3 and 4, what is the length of the hypotenuse?

• 6

• 9

• 7

• 5

What is the area of a kite with diagonals of 7 feet and 12 feet?

• 21 square feet

• 24 square feet

• 84 square feet

• 42 square feet

How do you calculate the area of a rhombus using its diagonals?

• Subtract one diagonal from the other and divide by two

• Multiply the diagonals and divide by two

• Add the diagonals and divide by two

• Multiply the diagonals and divide by four

What is the height of a trapezoid with an area of 210 square yards and bases of 50 and 20 yards?

• 9 yards

• 6 yards

• 12 yards

• 3 yards