Geometry and Trigonometry Quiz

In a sequence of rigid motions, which property of the angles remains unchanged?

• Their orientation

• Their size

• Their position

• Their color

What is the sum of the interior angles of a quadrilateral?

• 540 degrees

• 360 degrees

• 180 degrees

• 720 degrees

What is the first step in constructing a segment that is 1/4 of a given segment using a compass?

• Draw a perpendicular bisector

• Cut the segment in half

• Draw an arc above the segment

• Measure the segment with a ruler

Which tool is essential for constructing a segment that is a fraction of another segment?

• Protractor

• Ruler

• Compass

• Calculator

When using trigonometry to find the height of an object, which trigonometric function is used if you know the angle of elevation and the adjacent side?

• Tangent

• Secant

• Cosine

• Sine

How do you convert the volume of a sphere to its mass given the density?

• Divide the volume by the density

• Multiply the volume by the density

• Add the volume to the density

• Subtract the density from the volume

What is the formula for the volume of a sphere?

• 3/4 πr^3

• πr^2

• 4/3 πr^3

• 2πr

Which theorem is used to determine the similarity of triangles when a line is parallel to one side of a triangle?

• Pythagorean Theorem

• Side-Splitter Theorem

• Triangle Inequality Theorem

• Angle Bisector Theorem

What is the relationship between the sine of one angle and the cosine of its complementary angle?

• They are parallel

• They are perpendicular

• They are opposite

• They are equal

In the intersecting secant-tangent theorem, what is the relationship between the tangent segment and the secant segment?

• The tangent segment is equal to the secant segment

• The tangent segment is twice the secant segment

• The square of the tangent segment equals the product of the secant segment and its external part

• The tangent segment is half the secant segment