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Transcript
QUESTION ANSWER 54. What is a triangle with 3 sides of different length called?? Scalene Triangle 55. What is the slope of a vertical line? Undefined In a 30 - 60 - 90 triangle, what factor is the short leg multiplied by to equal the hypotenuse? By 2 Define a trapezoid. A trapezoid is a quadrilateral with only one pair of opposiite sides parallel If two lines form congruent adjacent or congruent angles, the lines are _______. Perpendicular 59. Define the midpoint of a segment. A point on the segment equidistant from the endpoint. 60. Define a parallelogram. A quadrilateral with both pair of opposite sides being paraallel The midpoint of the hypotenuse of a right angle is _______ from each vertex. Equidistant 62. How many sides does a quadrilateral have? 4 63. Define supplementary angles. Two angles that sum to 180 The segment that joins the midpoints of two sides of a triaangle has what relationship to the third side? 1) Is parallel to the third side 2) is half as long as the third side. What is the midpoint formula? ( x1 + x2 ) , ( y1 + y2 ) 56. 57. 58. 61. 64. 65. 2 Clever Catch® GEOMETRY I Your Geometry I Clever Catch® provides an excellent way for children to practice geometry. There are 73 color coded questions included (Green = Coordinate System, Yellow = Planes, Lines, and Angles, Blue = Quadrilaterals, Orange = Triangles). Clever Catch® can be used at school in organized classroom activities. It can also be used on the playground or at home. Grades 9+, Ages 14+. CLEVER CATCH® AT HOME OR ON THE PLAYGROUND Basic play for Clever Catch® is simple. Two or more players toss the ball to each other, answering the problem underneath or closest to their left thumb. Each problem is numbered and enclosed in its own space, assuring the child will know which problem to answer. Answers are provided in this insert for independent play by students. PLAYOFFS: 2 66. Any point that lies on the perpendicular bisector of a segm ment is ____ from the endpoints of a segment. Equidistant Pairs of children toss the ball back and forth for one minute answering problems. A scorekeeper tallies which team has the most correct answers in the time limit. 67. If one angle of a parallelogram is a right angle, what kind d of parallelogram is it? A rectangle CLEVER CATCH® IN THE CLASSROOM 68. Describe the intersection of two planes. A line 69. Are all equilateral triangles also equilangular? Yes 70. What are two properties of a median of a trapezoid? 1) It is parallel to the bases; 2) Its length is equal to half the sum of the bases. 71. Two non-vertical parallel lines have _______ slopes. Equal 72. A plane exists in how many dimensions? 2 What relationship do the diagonals of a rhombus have to the e angles which they intersect? They bisect the angles 73. BEAT THE CLOCK: The entire class plays cooperatively as one team, trying to better its own time and number of correct answers in each game. DIRECTIONS: 1 Choose a timekeeper. You also will need a monitor - teacher or student - to keep track of correct answers. 2 Divide the class into two lines of equal length, students facing each other. 3 At the timekeeper’s signal, toss Clever Catch® to the first student. As quickly as possible, this student reads and answers the problem underneath his/her left thumb. 4 This student then tosses Clever Catch® to the student directly across from him/her in the second line. This student reads and answers the problem under his/her left thumb. 5 Play continues until all students in both lines have had a turn. When the last student has answered, the time and correct number of answers are recorded. ©2014 AMERICAN EDUCATIONAL PRODUCTS LLC P.O. BOX 2121 FORT COLLINS, CO 80522 800.289.9299 WWW.AMEP.COM #SR-1384 QUESTION 1. 2. 3. 4. 5. 6. What did the acorn say when he grew into a giant oak? Define a perpendicular bisector of a segment. If the scale factor of two similar figures is a : b , what is the ratio of their areas? What is the area formula for any triangle? A diagonal of a parallelogram divides the parallelogram intto ___. ANSWER QUESTION Gee, I’m a tree.... (ge-om-e-try) A line, segment, ray, or plane that is perpendicular to a segment at its midpoint. 2 a :b Define a median of a trapezoid. A segment that connects the midpoints of two legs. 27. Define complimentary angles. Two angles whose sum is 90 . Two non-vertical lines are perpendicular if the product of their slopes is equal to _______. -1 29. What is the sum of the interior angles of a triangle? 180 30. Define equilateral. All sides are equal in length. 31. Define equiangular. All angles are the same measure. 32. Define perpendicular lines. Lines which intersect to form right angles. 33. What is the slope / y -intercept formula? y = mx + b 34. If two lines intersect, how many planes contain both lines?? Exactly one 35. Define a square. A quadrilateral with 4 equal sides and all corners are 90 . 28. 1 bh 2 Two congruent triangles What is the slope formula? The ratio of vertical change to horizontal change or 7. 26. 2 Half the base times the altitude, or A = ( y2 - y1 ) ( x2 - x1 ) If the square of one side of a triangle is greater than the e sum of the squares of the remaining two sides, the trian ngle is an _______ triangle. Obtuse Define parallel lines. Coplanar lines that do not intersect. If two consecutive sides of a parallelogram are congruent, what kind of parallelogram is it? A rhombus If two parallel lines are cut by a transversal, name a pairr of congruent angles. Corresponding angles; alternate interior angles. 38. If the square of one side of a triangle is less than the su um of the squares of the remaining two sides, the trianglee is an _______ triangle. Acute 12. The diagonals of a parallelogram _____each other. Bisect 13. What is the point/slope formula? ( y - y1 ) = m ( x - x1 ) 8. 9. 10. 11. 36. 37. Through a point outside a line, how many perpendiculars can n be drawn to a line? one 39. ____ sides of a parallelogram are congruent. Opposite 40. Define an isosceles triangle. A triangle with at least two congruent sides 41. If the square of one side of a triangle is equal to the sum m of the squares of the remaining two sides, the triangle is a ___ triangle. Right 42. If two points lie in a plane, then where does the line thatt contains the points lie? In the same plane 43. If the scale factor of two similar figures is a : b , what is the ratio of their perimeters? a:b 44. What is the area formula for a rectangle? Base times height, or A = bh 2 45. What is the distance formula in coordinate geometry? d 2 = ( x 2 - x1 ) + ( y 2 - y1 ) 1 d1d2 2 46. What is a line segment? The distance between two points In a plane, two lines perpendicular to a third line are _____ to each other. Parallel 48. Opposite angles of a parallelogram are _____. Congruent 49. What is the area formula for a trapezoid? 15. If two angles are supplements of the same angle or congruen nt angle, then the two triangles are ______. Congruent State the Pythagorean Theorem. The sum of the squares of the legs of a right triangle is equal to 3 2 the square of the hypotenuse or a + b = c 17. What is the area formula for a trapezoid? Half the product of the diagonals, or A = 47. 18. What is the measure of each angle of an equilateral trianglle? 60 19. What is the slope of a horizontal line? 0 20. What is the sum of the interior angles of a quadrilateral? 360 21. Vertical angles are always ______. Congruent 22. Base angles of isoscoles triangles are always ________. Congruent 23. If two lines intersect, they intersect at exactly one ______. Point 24. The diagonals of a rhombus are _________. Perpendicular An exterior angle of a triangle is equal to the sum of whatt two angles? The two remote interior angles. 25. 2 Congruent In a 30 - 60 - 90 triangle, what factor is the short leg multiplied by to equal the long leg? 2 In a 45 - 45 - 90 triangle, by what factor must a leg be multiplied to equal the hypotenuse? The diagonals of a rectangle are _________. 14. 16. ANSWER 50. 2 2 Half the altitude times the sum of the bases, or A = 1 h ( b1 + b2 ) 2 Define an angle bisector. The line, ray, or segment that divides an angle into two con ngruent angles. Are all equilateral quadrilaterals also equiangular? If no ot, which are? No, only the square 52. What is the area formula for a square? Side squared, or A = s2 53. Through any two points there is exactly one ______. Line 51.