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1 Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper. 1. is tangent to circle Q at point R. Which of the following is the best estimate of the perimeter of QRS? A 56.7 in in. C 32.0 in. D 21.2 in. If is tangent to Circle Q, then it forms a right angle with radius. Use the Pythagorean Theorem to find the missing leg of right triangle QSR. 2. Which of the following is the best description of the circle with equation? The center is and the radius is 2. G The center is and the radius is 2. H The center is and the radius is 4. J The center is and the radius is 4. Rewrite the equation of this circle in standard form by completing the square. The center of this circle is 2. The correct choice is. and the radius is The perimeter of esolutions Manual - Powered by Cognero Page 1
2 3. Trapezoid ACD is shown below. 4. GRIDDALE Sean draws a triangle with vertices A,, and C so that A = 11.6 centimeters and C = 14.7 centimeters. What is the greatest possible whole-number length of, in centimeters? Sketch ΔAC and label its parts. ACD is transformed to create a congruent image. What sequence of transformations created A C D? A Two reflections and a translation Two reflections and a rotation C Rotation, reflection, and translation D Rotation and reflection Try transforming ACD through the different options (A-D) to see which would be possible. The correct choice is C. The picture below shows a 90 degree rotation about the origin, followed by a reflection ( which places it back onto itself, since it has reflectional symmetry), and then a translation using the vector. The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be longer than the third side. Therefore, set up an inequality relating the three sides of the triangle: The longest whole number length side x can be is 26 cm. 26 C esolutions Manual - Powered by Cognero Page 2
3 5. A pendulum sweeps out an arc of a circle as shown. Which of the following is the best estimate of the distance the tip of the pendulum travels as it moves from point R to point S and back to point R? 6. What is? 5.1 in. G 10.1 in. H 52.7 in. J in. To find the length of arc RS, use the Arc Length Equation. A C 32 D 14 The measure of arc JL is double the measure of its inscribed angle ( JKL). Therefore, up an equation to solve for y:. Set Since y = 32, then. The correct choice is. To determine the distance traveled from R to S and back to R, multiply the arc length by 2. You get 10.1 inches. The correct response is G. G 7. GRIDDALE Square ACD is inscribed in Q, as shown. What is the circumference of Q, in meters? Round to the nearest tenth. Square ACD is divided into two congruent special right triangles, with diagonal having the length. is also the diameter of circle Q. Therefore, the circumference of circle Q esolutions Manual - Powered by Cognero Page 3
4 8. Melinda drew a figure with no reflectional symmetry and no rotational symmetry. Which of the following terms could describe the figure Melinda drew? Isosceles triangle G Parallelogram H Regular pentagon J Trapezoid An isosceles triangle has reflectional symmetry. A regular pentagon has both reflectional and rotational symmetry. A parallelogram has rotational symmetry. However, trapezoids in general have neither rotational nor reflectional symmetry. The correct choice is J. J 9. The diameter of K is 22 centimeters and is 18 centimeters long. Which of the following is closest to the length of? A 4.0 cm 6.3 cm C 14.2 cm D 20.1 cm Since the diameter of circle K is 22 cm, then each radius is 11 cm. Create ΔKPL with radius as the hypotenuse. Additionally, if a diameter is perpendicular to a chord, then it bisects it. This makes PL = LQ = 9. Label the given diagram with this information. Use the Pythagorean Theorem to determine KL. is. The correct choice esolutions Manual - Powered by Cognero Page 4
5 10. What is the equation of the line through (2, 2) that is perpendicular to the line 2x + y = 1? G H J irst, find the slope of. The slope of this line is. The slope of a line perpendicular to this line is. Use this new slope to find the equation of a line perpendicular to the given line that passes through (2,2) using the Point-slope form of a line. 11. In the figure, m JKL = 2x + 2. What is? A C 104 D 150 JKL is the inscribed angle to the intercepted arc KL. Since the measure of is 104, then m JKL = 52. Set up an equation and solve for x. The correct choice is. Since x = 25, then m LKM = 3(25)=75. The. The correct choice is D. D esolutions Manual - Powered by Cognero Page 5
6 12. Estella is planning to build a circular garden in her back yard. The garden will contain two straight paths, as shown. What is the length of the path? 23 ft G 22 ft H 18 ft J 15 ft egin by using the Segments of Chords Theorem to set up an equation to solve for E: 13. Dinesh plotted the point. Then he applied the transformation followed by the transformation. What is the distance between point P and its final image? A C D Use the rule to determine P'. Then, apply the rule determine P". with point with P' to Now, find the distance between P and P" using the distance formula. The length of path A = = 23. The correct choice is. The correct choice is. esolutions Manual - Powered by Cognero Page 6
The scale factor between the blue diamond and the green diamond is, so the ratio of their areas is.
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