Geometry and Probability Concepts

The video covers Chapter 9 homework questions, focusing on geometry, algebra, and probability. It explores properties of quadrilaterals, calculates volume and density in a prism, solves equations using angle properties, determines triangle congruence, writes linear equations from tables, calculates sandwich probabilities, and identifies cube nets.

What type of quadrilateral is ABCD if opposite sides are parallel and all sides are congruent?

• Rhombus

• Rectangle

• Square

• Trapezoid

What is true about the diagonals of a rhombus?

• They are parallel

• They are equal

• They bisect each other at right angles

• They are congruent

How do you calculate the area of a rhombus with side length 8 and angle 60 degrees?

• 8 * 4

• 8 * 8

• 8 * 4 * sqrt(3)

• 8 * 8 * sqrt(3)

What is the volume of a rectangular prism with dimensions 20ft x 15ft x 10ft?

• 2500 cubic feet

• 2000 cubic feet

• 1500 cubic feet

• 3000 cubic feet

How much air space is available per butterfly if the total volume is 3000 cubic feet and there are 625 butterflies?

• 5.2 cubic feet

• 4.5 cubic feet

• 5.0 cubic feet

• 4.8 cubic feet

What is the density of butterflies if there are 625 butterflies in a 3000 cubic feet space?

• 0.20 butterflies per cubic foot

• 0.25 butterflies per cubic foot

• 0.21 butterflies per cubic foot

• 0.22 butterflies per cubic foot

What is the value of X if alternate interior angles are congruent and one angle is 2x + 5 and the other is 7?

• X = 1

• X = 3

• X = 2

• X = 4

Which congruence property is used if two triangles have two sides and the included angle equal?

• AAS

• ASA

• SAS

• SSS

What is the equation of a line if the X values increase by 1 and Y values increase by 6, starting at -2?

• y = 6x + 2

• y = 5x + 2

• y = 6x - 2

• y = 5x - 2

What is the probability that Wade will pick a sandwich with salami or mayonnaise?

• 80%

• 75%

• 85%

• 83.3%