Triangle Congruence: SSS and HL — Unit test Answers

Line segment KL is tangent to circle J at point K.

What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42?

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?

What is 270° converted to radians?

In circle P, diameter QS measures 20 centimeters.

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V and secant Y W intersects the circle at point X.

What are the values of m and in the diagram below?

In circle D, ∠EDH ≅ ∠EDG.

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units.The center of the circle lies on the x-axis.The center of the circle lies on the y-axis.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Which of the following best explains the value of on the unit circle below?

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

Angle D is a circumscribed angle of circle O.

Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees.

Which equation represents the circle described?The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.

Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.

Which of the following are in the correct order from least to greatest?

Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees.