c) Are the triangles isosceles, scalene, or equilateral triangles?
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1 Question #1: For the figure shown: 6 4 L 6 T a) Find the length of LT b) Find the length of T c) re the triangles isosceles, scalene, or equilateral triangles? d) Find the perimeter of triangle Question #1: For the figure shown: 6 4 L 6 T a) Find the length of LT b) Find the length of T c) re the triangles isosceles, scalene, or equilateral triangles? d) Find the perimeter of triangle
2 Question #2: Given right triangle, D is an altitude, E is a median, E = 13, = D E 13 3 a) Find the length of the median, E. b) What is the length of? c) What is the length of D? d) What is the length of DE? Question #2: Given right triangle, D is an altitude, E is a median, E = 13, = D E 13 3 a) Find the length of the median, E. b) What is the length of? c) What is the length of D? d) What is the length of DE?
3 Question #3: The angles of an octagon are 2x, x-3, 4x+2, 5x-30, x+11, x+4, 2x+6, 2x+10. a) Find the sum of exterior angles. b) What is the smallest interior angle? c) What is the largest interior angle? d) What is the sum of interior angles? Question #3: The angles of an octagon are 2x, x-3, 4x+2, 5x-30, x+11, x+4, 2x+6, 2x+10. a) Find the sum of exterior angles. b) What is the smallest interior angle? c) What is the largest interior angle? d) What is the sum of interior angles?
4 Question #4: Given a triangle with sides of lengths 3 and 4. Find: a) The sum of the possible integer lengths of the third side. b) The length of the third side if it was a right triangle with legs 3 and 4. c) If the third side is 6, is the triangle acute, right, or obtuse? d) If the third side is 2, is the triangle acute, right, or obtuse? Question #4: Given a triangle with sides of lengths 3 and 4. Find: a) The sum of the possible integer lengths of the third side. b) The length of the third side if it was a right triangle with legs 3 and 4. c) If the third side is 6, is the triangle acute, right, or obtuse? d) If the third side is 2, is the triangle acute, right, or obtuse?
5 Question #5: P T D The isosceles trapezoid D shown above has = D=10 and D=20. mð = 120!. a) Find b) Find TD c) What s the height of the trapezoid? d) What s the length of? Question #5: P T D The isosceles trapezoid D shown above has = D=10 and D=20. mð = 120!. a) Find b) Find TD c) What s the height of the trapezoid? d) What s the length of?
6 Question #6: For the following questions, write the number that corresponds to the final statement. Original =onditional=1, onverse=2, Inverse=3, ontrapositive=4. The statement is: If the cat is sick, then he will stop eating. a) Find the inverse of the converse of the original statement. b) Find the converse of the converse of the inverse of the contrapositive of the original statement. c) Find the contrapositive of the converse of the inverse of the original statement. d) Find the inverse of the converse of the contrapositive of the converse of the inverse of the original statement. Question #6: For the following questions, write the number that corresponds to the final statement. Original =onditional=1, onverse=2, Inverse=3, ontrapositive=4. The statement is: If the cat is sick, then he will stop eating. a) Find the inverse of the converse of the original statement. b) Find the converse of the converse of the inverse of the contrapositive of the original statement. c) Find the contrapositive of the converse of the inverse of the original statement. d) Find the inverse of the converse of the contrapositive of the converse of the inverse of the original statement.
7 Question #7: a) How many regular polygons have less than 40 diagonals? b) How many sides does a regular polygon have if each interior angle is 108 degrees? c) Name the regular polygon that has an exterior angle of 30 degrees? d) Find the measure of one of the interior angles of a regular 18-gon. Question #7: a) How many regular polygons have less than 40 diagonals? b) How many sides does a regular polygon have if each interior angle is 108 degrees? c) Name the regular polygon that has an exterior angle of 30 degrees? d) Find the measure of one of the interior angles of a regular 18-gon.
8 Question #8: a) Find the supplement of the largest angle of a triangle with angles 2x, x-4, and 5x+8 b) What is the length of the longest side of a triangle with the coordinates (1,1), (3,4), and (6,0)? c) What are the coordinates for the centroid of the triangle with vertices (1,1), (3,4), and (6,0)? d) What is the length of the shortest side of a triangle with the coordinates (1,1), (3,4), and (6,0)? Question #8: a) Find the supplement of the largest angle of a triangle with angles 2x, x-4, and 5x+8 b) What is the length of the longest side of a triangle with the coordinates (1,1), (3,4), and (6,0)? c) What are the coordinates for the centroid of the triangle with vertices (1,1), (3,4), and (6,0)? d) What is the length of the shortest side of a triangle with the coordinates (1,1), (3,4), and (6,0)?
9 Question #9: a) Find the length of b) Find sin c) Find (sin )(cos) d) Find tan Question #9: a) Find the length of b) Find sin c) Find (sin )(cos) d) Find tan 20 12
10 Question #10: a) The length of the median to the hypotenuse of a right triangle when the hypotenuse is 10. b) The larger angle between the hour and minute hand when its 3:30pm. c) Number of diagonals in a nonagon. d) The length of a leg in an isosceles right triangle with hypotenuse 10. Question #10: a) The length of the median to the hypotenuse of a right triangle when the hypotenuse is 10. b) The larger angle between the hour and minute hand when its 3:30pm. c) Number of diagonals in a nonagon. d) The length of a leg in an isosceles right triangle with hypotenuse 10.
11 Question #11: a) rectangle has length twice it s width. The perimeter is 24. Find the length? b) rectangle has length 3 more than twice the width. The perimeter is 36. Find the length? c) rectangle has width 8 and the diagonal is 2 more than the length. Find the perimeter. d) If a square s diagonal has a length of 20, find the perimeter. Question #11: a) rectangle has length twice it s width. The perimeter is 24. Find the length? b) rectangle has length 3 more than twice the width. The perimeter is 36. Find the length? c) rectangle has width 8 and the diagonal is 2 more than the length. Find the perimeter. d) If a square s diagonal has a length of 20, find the perimeter.
12 Question #12: Lines n and m are parallel and line t is a transversal. a) If mð2 = 85 degrees, what is mð5? b) If mð3 = 70 degrees, what is mð6? c) If mð4 = 120 degrees, what is the complement of 7? d) If mð1 = 110 degrees, how many other angles of the 8 shown have the same measure? n t m Question #12: Lines n and m are parallel and line t is a transversal. a) If mð2 = 85 degrees, what is mð5? b) If mð3 = 70 degrees, what is mð6? c) If mð4 = 120 degrees, what is the complement of 7? d) If mð1 = 110 degrees, how many other angles of the 8 shown have the same measure? n m t
13 Question #13: Write TRUE if the statement is true and write FLSE if the statement is false: a) hendecagon has 16 sides. b) regular 23-gon has 230 diagonals. c) Parallel lines are the only type of lines that don t intersect each other. d) square is a rhombus. Question #13: Write TRUE if the statement is true and write FLSE if the statement is false: a) hendecagon has 16 sides. b) regular 23-gon has 230 diagonals. c) Parallel lines are the only type of lines that don t intersect each other. d) square is a rhombus.
14 Question #14: a) If a line segment has the endpoint (1,1) and a midpoint (3,4), what is the coordinate of the other endpoint? b) What is the slope of the line in part a? c) If a square had the points (3,2), (6,2), and (3,5) what would be the fourth coordinate? d) If a right triangle is in the first quadrant only, having vertices (1,1) and (6,1) and integer side lengths, how many possible points can be the third point of the triangle? Question #14: a) If a line segment has the endpoint (1,1) and a midpoint (3,4), what is the coordinate of the other endpoint? b) What is the slope of the line in part a? c) If a square had the points (3,2), (6,2), and (3,5) what would be the fourth coordinate? d) If a right triangle is in the first quadrant only, having vertices (1,1) and (6,1) and integer side lengths, how many possible points can be the third point of the triangle?
15 Question #15: For the figure: a) How many triangles? b) How many rectangles? c) How many quadrilaterals that aren t rectangles or parallelograms? d) How many pentagons? Question #15: For the figure: e) How many triangles? f) How many rectangles? g) How many quadrilaterals that aren t rectangles or parallelograms? h) How many pentagons?
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