Geometry and Trigonometry Concepts

This tutorial covers various geometry problems from the non-calculator portion of the FSA review. It includes solving for perpendicular lines, identifying parallel edges, partitioning segments, basic trigonometry, area calculations, and understanding reflections, dilations, and proofs. The tutorial provides step-by-step guidance on each topic, ensuring students grasp the key concepts needed for the test.

What is the main focus of the tutorial?

• Basic arithmetic operations

• Non-calculator portion of the FSA review

• Advanced calculus problems

• Calculator portion of the FSA review

What is required to find a line perpendicular to a given line?

• The midpoint of the given line

• The y-intercept of the given line

• The same slope as the given line

• The negative reciprocal of the given line's slope

Which formula is used to find the slope-intercept form of a line?

• Quadratic formula

• Pythagorean theorem

• Area of a circle

• Slope-intercept formula

How do you find the y-intercept of a line?

• By finding the midpoint

• By using the negative reciprocal

• By solving for B in the slope-intercept equation

• By calculating the area under the line

What shape is formed by a vertical plane intersecting a cone?

• Circle

• Square

• Ellipse

• Triangle

How is a line segment partitioned in a 1:2 ratio?

• Into three equal parts

• Into four equal parts

• Into two equal parts

• Into five equal parts

What is the first step in setting up a trigonometry problem?

• Solving the equation

• Labeling the sides

• Finding the hypotenuse

• Calculating the angle

How do you calculate the area of a box with a square base?

• By using the Pythagorean theorem

• By adding the areas of all faces

• By multiplying the side lengths

• By finding the perimeter

What happens to a triangle when it is reflected across a line?

• It changes shape

• It changes size

• It remains congruent

• It becomes a different triangle

What is the scale factor in a dilation that maps point B to B'?

• 2:1

• 1:2

• 1:1

• 3:1