Ritpublic of the कhiligpines Departmeut of eloucation CABARROGUIS NATIOHAL SCHOOL OF ARTS AND TRADES CABARROGUIS NATIOHAL SCHOOL OF ARTS AND TRADES Which of the following best describes the illustration. involving o.G ? AKL is bisected at M . B. bar(HI) is bisected at M . C. Any two intersecting diameters are perpendicular D. When diameters are perpendicular, they intersect at the center of the circle Suppose arc HLI=200° , find the measure of arc KH . A. 360° B. 200° C. 160° D. 80° Refer to the figure below for items 23 to 24: In the figure, UV is tangent to circle X at C . bar(EV) is a secant passing through the center of the circle at X . 23. If the measure of arc AC=146° and the measure of arc CD=84° , what is the measure of /_AUV ? A. 31° C. 62° B. 42° D. 73° 24. What is the measure of /_EYD if the measure of arc ED=24° and the measure of arc AB=88° ? A. 31° C. 56° B. 44° D. 61° 25. Which of the following is perpendicular to a line tangent to a circle at the point of tangency? A. arc B. chord C. radius D. secant 26. Quadrilateral ABCD is inscribed in a circle. What is the sum of the measures of two opposite angle of the quadrilateral? A. 90° B. 135° C. 180° D. 360° 27. The angle between two secants intersecting in the exterior of the circle is 80° . If one of the intercepted arcs is 200° , what is the measure of the other arc? A. 30° B. 40° C 50° D. 60° 28. In the given figure, the measure of arc AE is 105° and m/_ACE is 34° . Find the measure of arc BD. A. 34° C. 68° B. 37° D. 71° 29. Which of the following equations is TRUE about the distance d between the pointe (1,1) and (3,-4) ? A. d=sqrt((1-3)^(2)+(1-4)^(2)) B. d=sqrt((1+3)^(2)+(1+4)^(2)) C. d=sqrt((1-3)^(2)+(1+4)^(2)) D. d=sqrt((1+3)^(2)+(1-4)^(2)) 30. A formula that can be used to find the coordinates of the miúpoini of a line segueini oni thie counulinate plate. A. X and y formula C. circle formula B. Distance formula D. midpoint formula 31. Find the distance between the origin and (3,4) . A. 3 B. 4 C. 5 D. 7 32. What is the distance between A(-1,-3) and B(2,2) ? A. sqrt2 B. 2sqrt2 C. 2sqrt17 D. sqrt34 33. What is the midpoint between (2,2) and (4,2) ? A. (3,2) B. (2,3) C. (4,2) D. (2,4) 34. What is the coordinates of the other endpoint of a line segment with one endpoint at (6,2) and midpoint at 35. Every moming, Johm walks to school. If he walked 30m wett then 25m . north, what is the coorditete of the school if Jungkook's house is at the origin? A. (-30,-25) C. (-30,25) " B. "(30","25)," C. "(-30","25) " D. "(30","-25) 36. Which of the following are needed to graph a circle on a coordinate plane? A. diameter and radius C. radius and tangent B. radius and center D. equation and center 37. Which of the following equations describe a circle on the coordinate plane with center at the origin a radius of 10 units? A x^(2)+y^(2)=1g^(2) C. x^(2)+y^(2)=10 B. x^(2)-y^(2)=102 D. x^(2)-y^(2)=10 38. What is the standard equation of the circle with center ( h,k ) and radius r units? A. (x-h)^(2)+(y+k)^(2)=r^(3) C. (x+h)^(2)+(y-k)^(2)=x^(2) B. (x-h)^(2)+(y-k)^(2)=r^(2) D. (x-h)^(2)-(y-k)^(2)=r^(2) 39. Determine the coordinates of the center and the length of ralius of ture vircle defincd isy (is-3) ;( hat(y):2)=25 . A. C(3,-2);r=5 C. C(-3,2);r=5 B. C (3,-2);r=25 D. C(-3,2);r=25 40. Which of the following equation of a circle is equivalent th x^(2)+y^(2)+2x-4y+1=0 ? A. (x+1)^(2)+(y-2)^(2)=4 B. (x-1)^(2)+(y+2)^(2)=4 C. (x+1)^(2)+(y-2)^(2)=1 D. (x-1)^(2)+(y+2)^(2)=1 C. (7,2) D. (-14,-4)
Answer
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Andrea SantosExpert · Tutor for 3 years
Answer
<p> <br />21. A<br />22. D<br />23. C<br />24. A<br />25. C<br />26. C<br />27. B<br />28. D<br />29. A<br />30. D<br />31. C<br />32. D<br />33. A<br />34. Error in the charts (The choices are unreadable.)<br />35. C<br />36. B<br />37. C<br />38. B<br />39. A<br />40. B</p>
Explanation
<p> <br />We have a long list of Mathematics genre questions. The entire examination falls under the categories of geometry and coordinate geometry, focusing on circles, line segments, distances, coordinates, tangents, lines depending on the context of each question.</p>
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