1、Congruence and similarity1.In the figure above,BCandADare parallel. What is the length, in centimeters (cm), of BF?Correct answer: 10 Level: 32.Note: figure not drawn to scaleTrianglesJKLandRSTare shown above. Angles are given in radians, to the nearest hundredth. What is the value ofin radians, to
2、the nearest tenth?Correct answer: 1.3 Level: 33.In the diagram above, triangleAFGis similar to triangleABC. What is the measure ofAGF, in degrees?Correct answer: 78 Level: 34.In the diagram at left, supposea=23x. What is the measure ofx?Correct answer: 54 Level: 35. In the diagram at left, ADis cong
3、ruent toBD. Which of the following statements is true?A. AEbisectsCABB. ACBis congruent to ABCC. triangleABCis isoscelesD. AEis a median ofABCCorrect answer: C Level: 36.The diagram at left shows four lines:AB,CD,AD, andBC. Which of the following statements is true?A. ABCmeasures88B. BCDmeasures80C.
4、 AD intersectsBCD. ADis parallel toBCCorrect answer: C Level: 47. In the diagram at left, ABis congruent toBC. Which of the following statements is true?A. DAC is congruent toDCAB. BAC is congruent toBCAC. ABC is congruent toADCD. BAD is congruent toBCDCorrect answer: B Level: 48.Isosceles triangles
5、ABCandDEFshown above are similar triangles. The lengthABequals the lengthBC, and the lengthDEequals the lengthEF. What is the value ofvin radians, to the nearest hundredth?Correct answer: 2.09 Level: 49.Given the lengths of the segments in the figure above, what is the length, to the nearest tenth,
6、of n?Correct answer: 425 Level: 410.In the figure at left, linescanddare parallel. What is the value ofx?Correct answer: 8 Level: 411.Note: figure not drawn to scalen ParallelogramABCDshown above is congruent to parallelogramPQRS. What is the value ofain radians, to the nearest hundredth?Correct ans
7、wer: 0.39 Level: 412.The diagram at left shows a rectangular billiard table with a width of39inches (in)and a length of78 in. A player is trying to shoot the red ball located at pointH, into the corner pocketDby bouncing the ball off of a pointRthat isxinches from pointB. The player knows that when
8、the ball bounces off pointR,HRBwill be congruent toDRC. If the pointBBis the midpoint ofACand the red ball is15inaboveB, approximately what is the value ofx?A. 7inB. 9inC. 11inD. 13inCorrect answer: C Level: 413. Given the figure at left, which of the following statements must be true?A. ABis parall
9、el toDE.B. Cis the midpoint ofBD.C. TriangleCBAis congruent to triangleCDE.D. ABCandDCEare vertical angles.Correct answer: A Level: 414.In triangleABCshown at left, tick marks of equal number represent sides of equal length. Therefore, the point along line segmentABis the midpoint ofAB. What is the
10、value ofin terms ofand t?A. B. t C. 2 D. 2 Correct answer: B Level: 415. In the diagram at left, linevtransverses linesw,x,y, andz. Given the angle measurements shown, which pair of lines is parallel?A. LineswandxB. Linesyand zC. LineswandyD. LinesxandzCorrect answer: A Level: 416.Both square ABCDand squareEFGHshown at left have centerQ. However, they do not have the same area. Which of the following must be true?A. =wB. =wC. =90wD. =180wCorrect answer: A Level: 4
