Cumulative Exam Review

A triangle has vertices of (-3, 2), (1, -1), and (-3, -1). What are the vertices of the image produced by applying the translation (x,y) ---> (x-5, y+2)? A. (-8, 4), (-4, 1), (-8, 1) B. (-5, 7), (-1, 4), (-5, 4) C. (2, 0), (6, -3), (2, 0) D. (2, 4), (6, 1), (2, 1)

A. (-8, 4), (-4, 1), (-8, 1)

Find the possible range of values of x. A. -3/7 < x < 9 B. 0 < x < 9 C. 2.5 < x < 8/3 D. -1/7 < x < 6.3

A. -3/7 < x < 9

If AC bisects <BAD, and AB = AD, prove BAC = DAC. A. 1) Given 2) Reflexive property of = 3) Definition of an angle bisector 4) SAS B. 1) Given 2) Reflexive property of = 3) Definition of an angle bisector 4) SSA C. 1) Reflexive property of = 2) Given 3) Definition of an angle bisector 4) ASA D. There is not enough information to prove the triangles congruent.

A. 1) Given 2)Reflexive property of = 3) Definition of an angle bisector 4) SAS

Calculate the scale factor of the dilation around the center, C. The preimage is blue and the image is red. A. k = 1/3 B. k = 1 C. k = 2 D. k = 3

D. k = 3

Given that AB = EF, AC = DE, and BC = DF, which of the following congruence statements is correct? A. <A = <E B. <C = <F C. <B = <E D. <A = <D

A. <A = <E

Given that IM is the perpendicular bisector of jk and that LN bisects IHK, which of the following statements is false? A. LH = HM B. JH = HK C. m<JHL = 45 degrees D. m<LHM = m<IHN

A. LH = HM

If Y, Z, and A are the midpoints of VWX, what can you conclude about XA and AW? Verify your results by finding x when XA = 4x - 3 and AW = 2x + 5. A. XA = AW; x = 4 B. XA || AW; x = 3 C. XA = 1/2 AW; x = 4 D. XA < AW; x = 3

A. XA = AW; x = 4

Is it possivle to show that <IJG is congruent to <IHK? A. Yes; IG = IK by the segment addition postulate, and <I = <I by the reflexive property of congruence, so IJG = ihk by SAS. Therefor <IGJ = <IHK by CPCTC. B. Yes; IG = IK by the angle addition postulate, and <I = <I by the symmetric property of congruence, so IJG = ihk by SAS. Therefor <IGJ = <IHK by CPCTC. C. No; we cannot prove that IJG = IHK, so we cannot use CPCTC to show that <IJG = <IHK. D. No; IJG = IHK, but <IJG is not corresponding angle to <IHK, so they cannot be proven congruent by CPCTC.

A. Yes; IG = IK by the segment addition postulate, and <I = <I by the reflexive property of congruence, so IJG = ihk by SAS. Therefor <IGJ = <IHK by CPCTC.

Which of the following compositions will map figure N onto figure K? A. counterclockwise rotation and translation B. rotation and reflection C. glide reflection D. double reflection

A. counterclockwise rotation and translation

Triangle GHI is similar to triangle JKL. If JP = 26, MH = 36, and PK = 16, then GM = _____. A. 44.3 B. 58.5 C. 86 D. 117

B. 58.5

An obtuse isosceles triangle has one angle with a measure of (2x) and another angle with a measure of (5x). What is the measure of the third angle of the triangle? A. 2 degrees B. 40 degrees C. 80 degrees D. 150 degrees

B. 40 degrees

Find the measure of <CGB. A. 36 degrees B. 54 degrees C. 126 degrees D. 180 degrees

B. 54 degrees

Given that <3 is a supplement of <4 and that m<3 = 117 degrees, find m<4. A. -27° B. 63° C. 73° D. 243

B. 63°

Name two pairs of corresponding angles. A. <4 and <12 <6 and <10 B. <4 and <12 <6 and <14 C. <4 and <16 <6 and <14 D. <7 and <11 <6 and <10

B. <4 and <12 <6 and <14

Use the information <1 = <7 to determine which lines are parallel. A. p || q B. l || m C. m || n D. l || n

B. l || m

GHI = JKL. Which statement is true? A. m<k = 30 degrees B. m<KLJ = 30 degrees C. m<JKL = 30 degrees D. m<GHI = 70 degrees

B. m<KLJ = 30 degrees

Where is the orthocenter of right triangle WXY located? Find m<ZWY. A. inside the triangle; 35 degrees B. on the triangle; 35 degrees C. inside the triangle; 55 degrees D. on the triangle; 55 degrees

B. on the triangle; 35 degrees

If PRQ is equiangular, find x and y. A. x = 53, y = 74 B. x = 53, y = 88 C. x = 74, y = 106 D. x = 106, y= 44

B. x = 53, y = 88

The graph illustrates a reflection of XYZ. What is the line of reflection? A. x-axis B. y-axis C. y=x D. y=2x

B. y-axis

Find m<QTR if m<QTS = (3x + 50) degrees, m<QTR = (4x - 2) degrees, and m<RTS = 26 degrees. A. 26° B. 54° C. 102° D. 118°

C. 102°

Find m<BED. A. 10 degrees B. 70 degrees C. 110 degrees D. 170 degrees

C. 110 degrees

In the figure, AB || CD. if CD:BA = 6.5 and the are of CED is 288, find the area of BEA. A. 165 B. 180 C. 200 D. 240

C. 200

Given that <CFE = <CFA and m<CFB = 68 degrees, find m<AFB. A. 20 degrees B. 21 degrees C. 22 degrees D. 23 degrees

C. 22 degrees

Find the range of possible values of x. A. 5.05 < x < 10.4 B. 3.5 < x < 10.4 C. 3.5 < x < 8.7 D. 0 < x < 5.05

C. 3.5 < x < 8.7

Find the value of x so that p || q. A. 32 B. 56 C. 64 D. 124

C. 64

In triangle QRS, m<Q = (7x), m<R = (12x+20), and m<S = (20x - 35). Find m<R. A. 35 degrees B. 65 degrees C. 80 degrees D. 100 degrees

C. 80 degrees

Given that C is equidistant from the sides of GHI, what can you conclude about point C? Find CF if CD = 2x + 4 and CE = 4x. A. C is the incenter of GHI; CF = 2 B. C is the incenter of GHI; CF = 4 C. C is the incenter of GHI; CF = 8 D. C is the circumcenter of GHI; CF = 8

C. C is the incenter of GHI; CF = 8

Are the triangles congruent by the HL theorem? If so, write the statement of congruence. A. Yes, BAC = DFE B. Yes, BAC = DEF C. No, the hypotenuses are not congruent. D. No, they are congruent by SAS

C. No, the hypotenuses are not congruent.

Which of the following examples does not illustrate the points existence postulate? A. Line m contains points B and D. B. Plane R contains at least three noncollinear point: A,B, and E. C. Plane R contains points A and B and line AB. D. Space contains at least four

C. Plane R contains points A and B and line AB.

Given that B is the midpoint of EF, CA is the perpendicular bisector of EF, DB bisects <EBC, and EF = 11.8, find m<DBE and the length of BF. A. m<DBE = 40 degrees, and BF = 5.9 B. m<DBE = 40 degrees, and BF = 59 C. m<DBE = 45 degrees, and BF = 5.9 D. m<DBE = 90 degrees, and BF = 590

C. m<DBE = 45 degrees and BF = 5.9

Given that I is the centroid of triangle CDE, find CH. A. 3 B. 4 C. 8 D. 12

D. 12

If ABC = DEF and m<E = 2(m-15), find m. A. 5 B. 15 C. 17.5 D. 25

D. 25

Name one pair of adjacent complementary angles in the diagram. A. <EJG and <JGF B. <EGJ and <HGJ C. <JGE and <JGH D. <FEG and <JEG

D. <FEG and <JEG

The polygons above are similar. Write a similarity statement and solve for x. The images are not drawn to scale. A. ABCD ~ KLMN, x = 23/5 B. ABCD ~ NMLK, x = 23/5 C. ABCD ~ KLMN, x = 7 D. ABCD ~ NMLK, x = 7

D. ABCD ~ NMLK, x = 7

If E, F, and G are the midpoints of BCD, what can you conclude about FE and DB? Verify your results by finding x when FE = 2x - 1 and DB = 5x - 4. A. FE = 2DB; x = 2 B. 1/2 FE = DB; x = 4 C. FE is perpendicular to DB; x = 4 D. FE = 1/2 DB; x = 2

D. FE = 1/2 DB; x = 2

Can you prove DEF = HGF? Justfy your answer. A. Yes, the triangles are congruent by SAS. B. Yes, the triangles are congruent by SSS. C. Yes, the triangles are congruent by SSA. D. No, not enough information is given.

D. No, not enough information is given.