For all questions, E is NOTA, which denotes that none of the above is correct. All diagrams are not drawn to scale. All angles are in degrees.

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Hector Strickland
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1 For all questions, E is NOTA, which denotes that none of the above is correct. All diagrams are not drawn to scale. All angles are in degrees. 1. Given a regular polygon with 20 diagonals, find the measure of one interior angle. A) 8 B) C) 1 D) If I can fly, then I am superman. Find the converse of the contrapositive of the converse of the inverse of the contrapositive of the conditional statement above. A) If I am not superman, then I can t fly B) If I am superman, then I can fly C) If I can fly, then I am superman D) If I can t fly, then I am not superman. In right triangle LIN, find the length of IK. A) 1 B) C) D). The supplement of an angle is thirty less than three times the angle. What is the measure (in degrees) of half the angle? 10 7 A) B) C) 2. D) A right triangle has one leg with a length of 6 feet, and the hypotenuse has a length of 10 feet. What is the length of the other leg, in inches? A) 8 B) 2 C) 72 D) 96 Page 1 of 6

2 6. Find the acute angle between the minute and hour hand at :19 PM. Pick the closest answer in degrees. A) 0 B) 6 C). D) Given that lines v and w are parallel, lines m and n are parallel, and lines a and b are parallel, what s the measure of x? A) 2 B) 8 C) 68 D) In the concave equilateral decagon shown, find the measure of angle B. A) 18 B) 6 C) 72 D) 108 B N I 9. If lines a and b are parallel, find the measure of x. A) 26 B) 60 C) 110 D) 16 Page 2 of 6

3 10. In triangle KIN, Find the length of IN. 2 A) 1 B) 89 C) 1 11 D) Two sides of an isosceles triangle have lengths of 7 and 2. Which of the following could be the length of the third side? A) 7 B) 2 C) 2 D) Two lampposts are both at a 90-degree angle to the horizontal ground. One lamppost is 0 feet tall and the other one is 60 feet tall. Two wires go from the top of each lamppost to the bottom of the other lamppost. At which height do the wires intersect? The thickness of the wires is negligible. A) 20 B) 2 C) 0 D) 8 1. Find AE when AB=6 and DE=. Angle B and Angle ADC are right angles. A) 2 B) C) 7 D) 7 1. Triangle HEN with ST that is parallel to EN. Find the length of HS. 20 A) B) C) D) Page of 6

4 1. Find A+B, where A is the geometric mean of 20 and 0, and B is the arithmetic mean of 20 and 0. A) 600 B) 10 6 C) D) Find BD when AB=7 and AC= A) B) C) D) Timmy and Jimmy both go to the store to buy different items, and they start at the same point at the entrance. Timmy runs meters north into the store for a hat. Then Timmy goes 1 meters west to reach the food court. Jimmy tries to catch up and goes 10 meters east, 20 meters north, and meters west. In meters, how far does Jimmy have to walk to reach Timmy? (Timmy and Jimmy can walk through walls) A) 2 B) 29 C) 0 D) In right triangle ABC, point D is on AC. BD has a length of 20, AB has a length of 16, and BC has a length of. Find CD. A) 12 B) 16 C) 18 D) 0 Page of 6

5 19. In the figure below, ME has points S, Q, U, A, and R on it. The numbers on each square represent the area of that square. If ME = 6, find MS. A) 9 B) 10 C) 11 D) An equilateral triangle has an altitude of 8 inches. What is the length of a side? A) 8 B) C) 8 D) In right triangle ABC, B is a right angle, points E and D are on AC. In this triangle, BE is an altitude to AC, and BD is a median to the hypotenuse AC. Find the length of ED. A) B) 2 7 D) C) The property that shows IG IG is called the. A) Reflexive property B) Transitive property C) Symmetric property D) Congruence property 2. Who was the famous Greek mathematician who discovered that the ratio of the volumes (When the sphere is inscribed inside the cylinder) of a sphere to the cylinder is 2:? A) Archimedes B) Euclid C) Eratosthenes D) Euler Page of 6

6 2. In right triangle IKN, find sin(θ). A) B) C) D) 2. Josh is 6 feet tall and is standing upright and looking straight ahead while standing on top of and at the edge of a 9-foot tall building. He looks down at a rock on the ground that is feet away from the base of the building. Approximately how many degrees did Josh have to look down to see the rock (angle of depression)? The width of Josh and the rock is negligible. A) 0 B) C) 60 D) Find the sum of all the possible integral values of the third side of a triangle when two of the sides have lengths of 6 and 9. A) 90 B) 99 C) 10 D) A triangle has points (0,0), (11, 1), and (18, 2 1). Find the perimeter of the triangle. A) B) 8 7 C) 12 7 D) If two vertical angles are also complementary to each other, then what is the supplement of one of the angles (in degrees)? A) B) 90 C) 1 D) Which of the following are also all parallelograms? A) Square, Trapezoid, Kite B) Kite, Rectangle, Trapezoid C) Trapezoid, Square, Rhombus D) Rhombus, Square, Rectangle 0. A triangle with sides of lengths 7, 10, and 12 is which of the following? A) Acute B) Obtuse C) Right D) Isosceles Page 6 of 6

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Downloaded from Triangles 1.In ABC right angled at C, AD is median. Then AB 2 = AC 2 - AD 2 AD 2 - AC 2 3AC 2-4AD 2 (D) 4AD 2-3AC 2 2.Which of the following statement is true? Any two right triangles are similar