Interactive: Circle Constructions — Unit test Answers

Analyze the diagram below and complete the instructions that follow.Secant intersects secant at point T. Find the length of .

Fill in the blanks for the paragraph proof for . Given: , , and Prove: Proof: All radii of a circle are congruent, so , and since and , then are right triangles by the __________ congruency theorem. The corresponding sides of the triangles, and , are congruent, so ZV = YX. Thus, we know that 2ZV = 2YX by the multiplication property of equality. By a congruency theorem that states, “if a diameter of a circle is perpendicular to a chord, then the __________,” bisects and bisects , so VU = 2ZV and XW = 2YX. Therefore, we can conclude that VU = XW, or .

Analyze the diagram below and complete the instructions that follow.In the bull's-eye shown above, , and . Calculate the difference in the areas of the blue and red rings. Round the answer to the nearest square inch.

Analyze the diagram below and complete the instructions that follow.In the diagram, is tangent to the circle, AB = 6 in, and BD = 10 in. Find AD.

Analyze the diagram below and complete the instructions that follow.In , name a chord that lies on a secant. A. B. C. D. Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Find x, y, and z. If necessary, round to the tenths place.

Analyze the diagram below and complete the instructions that follow.The circle is inscribed in the triangle, which has a perimeter of 46 inches. Find the length of .

Analyze the diagram below and complete the instructions that follow. The figure shows secant and tangent intersecting to form an angle. Find and . If necessary, round to the tenths place. A. B. C. D. Please select the best answer from the choices provided

A hotel staff would like to create a circular flower bed for the hotel’s entrance. The flower bed will be enclosed by a border. It will have rock paths to create individual sections that form sectors. The area of a sector of flowers is , and the length of a rock path (or radius) is r = 6 yd. Find the angle formed between 2 rock paths. A. B. C. D. Please select the best answer from the choices provided

Analyze the diagram below and answer the question that follows.What is the value of x?

Analyze the diagram below and complete the instructions that follow. If is a diameter of , find x.

Analyze the diagram below and complete the instructions that follow. Find the length of in . A. B. C. D. Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow.Chord intersects chord at point G. Find the length of .

Analyze the diagram below and complete the instructions that follow.Tangent and secant intersect at point J. Find the length of .

Analyze the diagram below and complete the instructions that follow.Given that and , find the radius of if JK = 14. Round the answer to the hundredths place.