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Math subject

Which expression best describes a proportion?

A. Multiples Choice. Directions: Read and analyze each item carefully. Write the letter of the correct answer on your answer sheets. 1. Which of the following is a comparison of two quantities? A. term 3. means C. ratio D. proportion 2. Which expression best describes a proportion? A. a polynomial expression C. a comparison of two quantities B. an equality of two ratios D. expressed as a quotient of two numbers 3. What is the simplest form of the ratio 20:50? A. 2:5 B. 4:5 C. 4:10 D. 10:25 4. What is the value of m if 2:3 = m:12 ? A. 2 B. 4 C. 6 D. 8 5. In the proportion 1:3 = 4:12, what are the extremes? A. 1 and 3 B. 1 and 12 C. 3 and 4 D. 3 and 12 6. What are the means in the proportion 2:3 = 24:36? A. 2 and 3 B. 2 and 24 C. 3 and 24 D. 3 and 36 7. What is the value of x in the proportion 8:4 = 3+x : x ? A.3 B. 4 C. 6 D. 8 8. In one of the schools in Carmen, the ratio of the number of computers to the number of students is 1:4. How many computers does the school have if it has a population of 320? A. 40 B. 60 C. 80 D. 100 9. Which condition illustrates similarity of polygons A. all angles are congruent C. no angles are congruent B. consecutive angles are complementary .D. opposite angles are complementary 10. Which pair of triangles are similar? A. B. P 60 D. 450 11. The Angle-Angle Similarity (AA) Theorem states if two angles of one triangle are to two angles of another triangle, then the triangles are_ A. adjacent; equal C. complimentary, scalene B. congruent; similar D. supplementary; isosceles 12. The Side-Side-Side Similarity (SSS) Theorem states if the corresponding sides of two triangles are then the triangles areA. proportional; similar C. similar, proportional B. congruent; congruent D. equal; equilateral 13. The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are to two sides of another triangle and their angles are congruent, then the triangles are similar. A. adjacent; intersect C. complementary; form B. adjacent; create D. proportional; included 14. Which is not a similar triangle theorem? A. ASA B. SAS C. SSS D. AA 15. What similarity postulate/theorem will prove that PRS~AMTB; RS PS ? MT TB MB' A. AA B. AAA C. SSS D. SAS A 16. What similarity postulate/theorem will prove that APQR~AXYZ if = " and LQ = LY ? A. AA B. AAA C. SSS D. SAS 17. What theorem proves that the triangles in the figure are similar? A. AA B. AAA C. SSS D. SAS For items 18-21 state the similarity theorem or postulate that proves the triangles similar 18. B 7.5 7.5 5 5 A B M O 12 12 A. AA B. AAA C. SSS D. SAS 19. 12 36 4 15 45 A. AA B. AAA C. SSS D. SAS 20. A A. SSS C. AA B. SAS D. They are not similar 21. A. SSS C. AA 102 102" 30 B. SAS D. They are not similar M22. The hypotenuse of an isosceles right traingle measures 7 cm. How long is each leg? A. 7v2 cm B. 3.5 cm C. 7v2 D. 7V3 23. In the figure, there are three similar triangles by Right Triangle Proportionality Theorem. Name 3 the triangle that is missing in the statement: A HOP ~ A ~ A OEP. O p A. A HOE C. A HOP B. A OEH D. A HEO H 24. Triangles ABC and DEF are similar triangles. If AC= 4cm, DF= 8 cm, AB= 6 cm and DE= 12 cm, what is the measure of side BC if side EF is 18 cm? A. 6 cm B. 9 cm C. 8 cm D. 36 cm 25. Find the length of a in the triangle S? 12 ft. ft . 8 ft. those enthere a R S Glad to s A. 2ft B. 6ft C. 4ft D. 5ft 26. Two triangles HIJ and KLM are similar. If HI measures 6 ft, KL is 3 ft and if LM is 8ft, IJ is 16ft. What is th measure of HJ if KM is 10ft? A. 5 ft B. 30ft C. 20ft D. 40ft 27. The ratio of two triangles ABC and DEF is 1:2. If side DE is 26, what is the measure of AB? A. 13 B. 12 C. 8 D. 9 28. What theorem where the square of the length of the hypotenuse is equal to the sum of the squares of its length? A. Right triangle theorem C. Pythagorean Theorem sss_theor D. AAA-theor29' Find the measure 0f the hYPOtenuse of a right triangle ABC if the measure of A= 3 cm and 8:4 cm. A. 6 cm . B. 7 cm C. 5cm 0' 8cm 30. What do you call the longest side of a right triangle? A. shorter leg B. hypotenuse c_ longer leg D. base 31. in equation 2x = 12, how to solve the value of x? A. multiply both side by 2 B. add both side by 2 ' . , . . _ .- . . ._,..: C. square both side by 2 D. divide both side by 2 32. What is the perimeter of a 30 60 - 90 triangle whose hypotenuse is 8 cm long? A.4.+\\/3 cm B.24+8'\\/3cm c.12+\\l3 cm D. 12+4\\/3 33. in the gure. there are three similartriangles by Right Triangle Proportionality Theorem. Name . _ the triangle that is missing in the statement: A HOP ~ A ~ A OEP. A. A HOE B. A OEH C. A HOP D. A HEO 34. The hypotenuse-of an isosceles trapezoid measures 7 cm. How long is each leg? A.7\\/ B. 3.5 cm 0. 32\"; D. N? 35. What is the perimeter of a 30 - 60 - 90 triangle whose shgrter leg is 5 inches long? A. 3J5 B. 15+5J C. 15+J D. 10+5J 36. In a right triangle, what do you call the longest side? , A. shorter leg B. adjacent side C. hypotenuse D. opposite side ' 37. In a 30 60 90 , what is the measure of the side opposite 60? A. 1/2 of the hypotenuse B. '/2 of the shorter leg C.\\'3 D 42 38. in a 45 45 90 triangle, if the measure of the hypotenuse is 8. what is the measure of the ' other two legs? A. 8 B. 2 0 W2 D. \\18 39. The ratio of the hypotenuse of two similar right triangles is 1:3. If the shorter hypotenuse is 10. what is the measure of the longer one? ' A.'3O B. 20 C. 60 D. 40 . 40. Triangles LMN and CFO are similar. If the ratio of sides LN and 00 is 2:3 and the length of side _jOQ measures 12 cm. what is the measure of side LN? A. 8cm B. 4cm _C. 10cm D. 6cm Directions: Answer the following. I 1. Molly and Eva solved the proportion :1 = g Is any of their solutions correct? Explain your reasoning. Show your solution if needed. Molly 6 3 x 2(3) = 6(2) xZ 2 x3=12 x=123 x=9 T9 your .'{'.':.'CI?I'!?_U hen