Geometry Concepts Quiz

What is the equation of a circle with center at (2, -4) and tangent to the line x = -2?

• (x - 2)^2 + (y + 4)^2 = 8

• (x + 2)^2 + (y + 4)^2 = 4

• (x + 2)^2 + (y - 4)^2 = 16

• (x - 2)^2 + (y + 4)^2 = 16

What is the radius of a circle with center (2, -4) and tangent to the line x = -2?

• 5

• 3

• 2

• 4

How do you find the radius of a circle given its center and a tangent line?

• Measure the distance from the center to the tangent line

• Double the distance from the center to the tangent line

• Square the distance from the center to the tangent line

• Halve the distance from the center to the tangent line

If the sine of 4x equals the cosine of 3x plus 13, what is the measure of the smaller angle in a right triangle?

• 46 degrees

• 44 degrees

• 33 degrees

• 11 degrees

In a right triangle, if the acute angles add up to 90 degrees, and 4x + 3x + 13 = 90, what is the value of x?

• 11

• 12

• 13

• 10

What is the sum of the acute angles in a right triangle?

• 45 degrees

• 60 degrees

• 90 degrees

• 180 degrees

After a 90-degree clockwise rotation centered at the origin, what is the new position of point R originally at (4, 3)?

• (4, -3)

• (3, -4)

• (-3, 4)

• (-4, -3)

What quadrant will point R be in after a 90-degree clockwise rotation followed by a reflection over the x-axis?

• Quadrant III

• Quadrant II

• Quadrant IV

• Quadrant I

What is the rule for a 90-degree clockwise rotation of a point (x, y)?

• (y, -x)

• (-y, x)

• (-x, -y)

• (y, x)

If a point is reflected over the x-axis, what happens to its coordinates?

• The x-coordinate changes sign

• The y-coordinate changes sign

• Both coordinates change sign

• Neither coordinate changes sign