Trigonometry and Geometry Concepts

This video tutorial covers key geometry concepts for a final exam, including the Pythagorean theorem, triangle inequality, special right triangles, and basic trigonometry. It also explores properties of quadrilaterals, circles, and polygons, and delves into 3D shapes and volume calculations. The video concludes with an introduction to probability and Venn diagrams, providing a comprehensive review of essential geometry topics.

Which of the following sets of side lengths cannot form a triangle?

• 7, 24, 25

• 2, 3, 5

• 3, 4, 5

• 5, 6, 9

In a 45-45-90 triangle, if one leg is 8, what is the length of the hypotenuse?

• 4√2

• 8

• 16

• 8√2

What is the length of the longer leg in a 30-60-90 triangle if the shorter leg is 4?

• 2√3

• 4

• 8

• 4√3

If the sine of angle X in a right triangle is 4/5, what is the cosine of angle X?

• 5/4

• 3/4

• 4/5

• 3/5

To find the measure of an angle in a right triangle given the opposite and hypotenuse, which function should be used?

• Tangent

• Sine

• Inverse Sine

• Cosine

What is the measure of a minor arc if the central angle is 50 degrees?

• 50 degrees

• 100 degrees

• 200 degrees

• 150 degrees

If two chords in a circle are congruent, what can be said about the arcs they intercept?

• The arcs are different lengths.

• The arcs are parallel.

• The arcs are perpendicular.

• The arcs are congruent.

How do you calculate the area of a parallelogram?

• Base times height

• Length times width

• Side squared

• Diagonal times height

What is the formula for the area of a trapezoid?

• Length * Width

• Base * Height

• 1/3 * (Base1 + Base2) * Height

• 1/2 * (Base1 + Base2) * Height

How many planes of symmetry does a cone have?

• Two

• One

• Infinite

• None