Geometry Common Core Regents Quiz

In triangle ABC, angle C is 90 degrees, AC is 11, and AB is 18. What is the measure of angle A to the nearest degree?

• 45 degrees

• 60 degrees

• 52 degrees

• 30 degrees

What tool is essential for constructing an equilateral triangle inscribed in a circle?

• Calculator

• Graph paper

• Compass

• Protractor

Which transformation is first applied to map quadrilateral DEAR onto D'E'A'R'?

• Translation

• Rotation

• Reflection over the x-axis

• Reflection over the y-axis

After reflecting a shape over the y-axis, what is the next step to map it onto its image?

• Rotate 90 degrees

• Enlarge the shape

• Translate down and right

• Reflect over the x-axis

What theorem is used to find the length of a tangent segment in a circle?

• Pythagorean Theorem

• Tangent-Secant Theorem

• Inscribed Angle Theorem

• Central Angle Theorem

If a tangent segment is 12 and the secant segment is 48, what is the length of the tangent squared?

• 576

• 1024

• 288

• 144

What is the first step in completing the square for the equation x^2 + y^2 + 8x - 6y + 7 = 0?

• Move the constant to the other side

• Factor the equation

• Add 7 to both sides

• Multiply by 2

What is the center of the circle given by the equation x^2 + y^2 + 8x - 6y + 7 = 0 after completing the square?

• (-4, 3)

• (3, -4)

• (-3, 4)

• (4, -3)

What is the radius of the circle with the equation x^2 + y^2 + 8x - 6y + 7 = 0?

• √25

• √16

• √20

• √18

Which method is used to find the area of a triangle by drawing a rectangle around it?

• Heron's Formula

• Trigonometric Ratios

• Area Subtraction Method

• Pythagorean Theorem