Select the best answer. Bubble the corresponding choice on your scantron. Team 13. Geometry

Transcription

1 Team Geometry

2

3 . What is the sum of the interior angles of an equilateral triangle? a. 60 b. 90 c. 80 d. 60. The sine of angle A is. What is the cosine of angle A? a. b. c.. A parallelogram has all of the following properties EXCEPT: d. 4 a. opposite sides congruent b. consecutive angles supplementary c. diagonals congruent d. opposite sides parallel 4. Which of the following transformations does not result in a congruent figure? a. translation b. rotation c. dilation d. glide reflection. In classifying triangles, which of one the following terms does not belong with the others? a. isosceles b. obtuse c. equiangular d. right 6. The contrapositive of the inverse of If I am me, then I love math. is: a. If I am not me, then I do not love math. b. If I love math, then I am me. c. If I do not love math, then I am not me. d. If I am not me, then I love math. 7. Given the coordinates of a quadrilateral, which of the following formulas would be used to prove that the quadrilateral is a rhombus? a. midpoint b. slope c. distance d. area 8. ABCDE is a regular pentagon. DEFG is a square whose interior does not intersect with the interior of ABCDE. Find the measure angle AFD. a. 4 b. 4 c. 0 d Every is similar to every other. Which one of the following would NOT fill in both blanks? a. circle b. segment c. square d. rectangle 0. For a given triangle, which of the following is not always collinear with the other three? a. centroid b. circumcenter c. incenter d. orthocenter

4 . Which of the following points lies on the circle ( 4) + ( y + ) = x? a. ( 4, ) b. ( 4, ) c. (,) d. (,). A semicircle with radius 0cm is the net for a cone without its base. Determine the volume of the cone. a. π cm 8 b. π cm 8 c. π cm d. π cm. If two parallel lines are cut by a transversal, which of the following must be supplementary? a. alternate interior b. corresponding c. same side interior d. vertical pair 4. Which of the following is always associated with a disjunction? a. and b. with c. false d. or. A circle is inscribed in a square which is inscribed in a circle which is inscribed in a square which is inscribed in a circle which is inscribed in a square that has an area of square units. 7 Determine the ratio between the areas of the inner-most circle and the outer-most circle. a. 7 b. 4 c. d. 6. A right cone is intersected by a plane running perpendicular to the cone s base. The cross section is a triangle. a. always b. sometimes c. never d. not enough information 7. A rectangle has dimensions x meters by y meters, where x < y. A single cut is made through the rectangle that results in an x by x square and a rectangle. The new rectangle is similar to the original rectangle. Determine the ratio of x to y. a. + b. + c. + d In a triangle, the hypotenuse is 8 cm. Find the area of the triangle. a. 8 cm b. 6 cm c. cm d. 64 cm 9. An angle is inscribed in a circle and is 90. The measure of the intercepted arc is: a. 4 b. 90 c. 80 d. 70

5 0. A toy that is in. tall casts a in. shadow. How long is the shadow for a 0 ft building? a. 0 ft b. 90 ft c. 00 ft d. 00 ft. A homing pigeon flies miles east and 0 miles south. Determine the magnitude of its flight vector. a. miles b. miles c. miles d. 4 miles. Three vertices of a parallelogram are (,4), (-,8), and (6,-). Find all the other possible coordinates of the fourth vertex. Find the sum of all the x- and y-coordinates. a. 8 b. 0 c. d. 4. Which of the following is NOT a postulate? a. Two triangles with congruent corresponding angles are similar. b. Through any two points there is exactly one line. c. Two distinct planes intersect in exactly one line. d. The base angles of an isosceles triangle are congruent. 4. Which one of the following cannot be used to justify a step in a proof? a. definition b. postulate c. theorem d. counterexample. How many edges does an oblique square pyramid have? a. 4 b. 6 c. 8 d A right triangle has leg with length 60 and hypotenuse of length 6. How long is the other leg? a. 9 b. c. d. 7. How many sides does a heptagon have? a. 7 b. 9 c. d. 8. In triangle ABC, AB = cm and BC = cm. Which one of the following is not a possible length for AC? a. cm b. cm c. 4 cm d. 6 cm

6 9. A circle can be constructed through three non-collinear points using a compass and straight edge. This process involved which one of the following theorems? a. Inscribed Angle Theorem b. Perpendicular Bisector Theorem c. Angle Bisector Theorem d. Pythagorean Theorem 0. Special -digit numbers have the property that if you add the sum of their digits to the product of their digits you get the number back. For example, 4 is not a special number since ( + 4) + ( 4) 4, but 9 is a special number since ( + 9) + ( 9) = 9. How many special -digit numbers are there? a. b. 9 c. 6 d.