Geometry Concepts and Applications

This video provides a comprehensive review of geometry concepts for a final exam. It covers topics such as collinear points, planes, rays, segment and angle calculations, midpoints, distances, polygon classification, logic and proofs, parallel lines, transformations, symmetry, triangles, congruence, circles, arcs, and calculations of surface area and volume.

Which of the following sets of points are collinear?

• T, D, U

• A, T, B

• C, D, E

• A, D, B

What is the correct name for the plane that includes points A, T, and B?

• Plane A, T, B

• Plane S

• Plane A, D, B

• Plane R

If an angle measures less than 90 degrees, what is its classification?

• Straight

• Obtuse

• Right

• Acute

What is the property called when if angle X equals angle Y and angle Y equals angle Z, then angle X equals angle Z?

• Transitive Property

• Reflexive Property

• Distributive Property

• Symmetric Property

What is the point-slope form of the equation of a line that passes through the point (1, 2) with a slope of 3?

• y - 1 = 3(x - 2)

• y + 2 = 3(x + 1)

• y + 1 = 3(x + 2)

• y - 2 = 3(x - 1)

How do you find the midpoint of a segment with endpoints (-6, 3) and (2, -9)?

• (-2, -3)

• (-4, -6)

• (-4, -3)

• (-2, -6)

When reflecting a point over the line y = -x, what transformation is applied to the coordinates?

• Change the signs of the x and y coordinates

• Keep the coordinates the same

• Switch the x and y coordinates

• Switch the x and y coordinates and change their signs

If the surface area of a smaller prism is 100 cm² and the ratio of the side lengths of the smaller to the larger prism is 1:4, what is the surface area of the larger prism?

• 800 cm²

• 400 cm²

• 3200 cm²

• 1600 cm²

Given two triangles with sides in the ratio 2:6, 5:15, and 8:24, are these triangles similar?

• No, they are not similar

• Yes, by Side-Angle-Side similarity

• Yes, by Angle-Angle similarity

• Yes, by Side-Side-Side similarity

What is the sine of angle A in a right triangle where the opposite side is 8 and the hypotenuse is 17?

• 17/8

• 8/17

• 15/17

• 8/15