Geometry EOC Review: Part 4 Insights

This video covers various topics in coordinate geometry, including solving problems involving tangents and circles, finding the centroid of a triangle, and using distance and midpoint formulas. It also explores calculating areas of triangles and rectangles and understanding 3D shapes and their cross-sections. The video provides detailed explanations and examples to help students grasp these concepts.

What is the slope of a line perpendicular to a line with a slope of -1/2?

• 1/2

• -1/2

• 2

• -2

What is the equation of a line that is vertical and passes through x = 6?

• y = -6

• x = 6

• y = 6

• x = -6

Which point is known as the intersection of the medians of a triangle?

• Incenter

• Circumcenter

• Orthocenter

• Centroid

Which center of a triangle is located at the point where the angle bisectors intersect?

• Centroid

• Incenter

• Circumcenter

• Orthocenter

If a point divides a line segment in the ratio 3:4, what fraction of the way from the starting point is the dividing point?

• 3/7

• 4/7

• 3/4

• 1/2

What is the result of calculating the coordinates of point B if point A is at (-5, 3) and the movements are 8 units right and 4 units up?

• (-3, -1)

• (3, -1)

• (3, 7)

• (-3, 7)

What is the ratio of the length of PF to LF if the coordinates are P(5,35), F(9,25), and L(15,10)?

• 1:1

• 3:2

• 2:3

• 3:4

What is the perimeter of a regular pentagon if one side, calculated using the distance formula between points (-1,4) and (2,3), is the square root of 10?

• 10 + sqrt(5)

• 5 + sqrt(10)

• 5 * sqrt(10)

• 10 * sqrt(5)

Which three-dimensional figure is formed when a rectangle is rotated about one of its sides?

• Sphere

• Cylinder

• Cube

• Cone

What shape is formed by the intersection of a plane parallel to the base of a cone?

• Triangle

• Circle

• Square

• Rectangle