3162 Unit 1 PretestName___________________________________MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Solve the problem.1)Find the measure of the indicated exterior angle.∠x = (200 - 5n)°, ∠y = (5n + 35)°, ∠z = (n + 11)°A)110°B)140°C)130°D)165°1)2)What is the measure of the central angle of a regular polygon with 12 sides?A)30°B)28°C)32°D)36°2)3)Find the measure of the indicated exterior angle.∠x = (4n - 20)°, ∠y = (n + 10)°, ∠z = (133 - 6n)°A)102°B)145°C)55°D)122°3)4)If each angle of a regular polygon measures 140°, how many sides does it have?A)7 sidesB)3 sidesC)9 sidesD)11 sides4)5)How many triangles are formed in a regular polygon with 13 sides?A)13B)10C)11D)125)6)Find the measure of the indicated exterior angle.∠x = (197 - 5n)°, ∠y = (5n + 21)°, ∠z = (n + 11)°A)174°B)148°C)105°D)122°6)7)Find the measure of the indicated exterior angle.∠x = (4n - 20)°, ∠y = (n + 10)°, ∠z = (130 - 5n)°A)110°B)60°C)126°D)150°7)18)The vehicle shown in the figure is 16 ft long. How long is the trailer?A)48 ftB)8 ftC)32 ftD)Cannot determine8)9)What is the angle sum of a regular polygon with 7 sides?A)900°B)1350°C)1260°D)450°9)Determine whether the triple of numbers can be the sides of a right triangle.10)7, 10, 17A)YesB)No10)11)9, 12, 16A)YesB)No11)12)10, 13, 23A)YesB)No12)13)5, 12, 14A)YesB)No13)2Use the properties of parallel lines to solve the problem.14)In the figure, GH  DE . Identify any pairs of congruent angles.A) ∠EDF ≅ ∠DFE, ∠GFH ≅ ∠HFG, ∠DEF ≅ ∠FGH, ∠DFG ≅ ∠EFHB) ∠EDF ≅ ∠HFG, ∠DFE ≅ ∠GHF, ∠DEF ≅ ∠FGH, ∠DFG ≅ ∠EFHC) ∠EDF ≅ ∠FED, ∠DFE ≅ ∠HFG, ∠FHG ≅ ∠FGH, ∠DFG ≅ ∠EFHD) ∠EDF ≅ ∠GHF, ∠DFE ≅ ∠HFG, ∠DEF ≅ ∠FGH, ∠DFG ≅ ∠EFH14)15)Given BC  DE and m∠ABC = 48°, find the measures of as many other angles as possible.A) m∠ADE = m∠ACB = m∠AED = 48°, m∠DBC = m∠ECB = 132°B) m∠ADE = m∠ACB = m∠AED = 48°C) m∠ADE = 48°, m∠DBC = 132°D) m∠ADE = 48°, m∠DBC = m∠ECB = 132°15)16)If m  n and m∠6 = 117°, what are the measures of the other angles?A)m∠2 = m∠4 = m∠8 = 117°, m∠1 = m∠3 = m∠5 = m∠7 = 63°B)m∠5 = m∠7 = m∠8 = 117°, m∠1 = m∠2 = m∠3 = m∠4 = 63°C)m∠2 = m∠4 = m∠8 = 117°, m∠1 = m∠3 = m∠5 = m∠7 = 27°D)m∠2 = m∠4 = m∠8 = 117°, m∠1 = m∠3 = m∠5 = m∠7 = 73°16)317)Given AB  CD and m∠ABC = 64°, find the measures of angles ∠ABE, ∠FCD, and ∠BCD.A) m∠BCD = 64°, m∠ABE = m∠FCD = 116°B) m∠BCD = m∠ABE = m∠FCD = 26°C) m∠BCD = 64°, m∠ABE = m∠FCD = 26°D) m∠BCD = m∠ABE = 64°, m∠FCD = 116°17)18)If p  q and m∠8 = 52°, what are the measures of the other angles?A)m∠2 = m∠4 = m∠6 = 52°, m∠1 = m∠3 = m∠5 = m∠7 = 138°B)m∠5 = m∠6 = m∠7 = 52°, m∠1 = m∠2 = m∠3 = m∠4 = 128°C)m∠2 = m∠4 = m∠6 = 52°, m∠1 = m∠3 = m∠5 = m∠7 = 128°D)m∠2 = m∠4 = m∠6 = 52°, m∠1 = m∠3 = m∠5 = m∠7 = 38°18)19)In the figure, AB  CD. Identify all pairs of congruent angles.A)∠ABE and ∠FCDB)∠ABE and ∠ABC, ∠FCD and ∠BCDC)∠ABC and ∠FCD, ∠ABE and ∠BCDD)∠ABE and ∠FCD, ∠ABC and ∠BCD19)4Provide an appropriate response.20)Suppose that a given parallelogram is not a rhombus. Which of the following can you concludeabout this parallelogram?A)Its sides are not all congruent.B)Its diagonals are perpendicular bisectors of each other.C)It is a square.D)All of the above20)21)True or false? In every triangle, the centroid, incenter, and circumcenter are collinear.A)TrueB)False21)22)What is line t called?A)TraversableB)TrisectorC)TangentD)Transversal22)23)Is it always true, sometimes true, or never true that the orthocenter is outside its associatedtriangle?A)Always trueB)Sometimes trueC)Never true23)24)Consider ∠AEF and ∠LEK. What can you conclude about these angles?A)They are obtuse angles.B)They are congruent angles.C)They are a pair of vertical angles.D)All of the above24)25)Suppose that a given parallelogram is not a square or a rectangle. Which of the following can youconclude about this parallelogram?A)It is a rhombus.B)It is a kite.C)It is a trapezoid.D)None of the above25)26)Which point of concurrency in a triangle is the center of a circle that contains the vertices of thetriangle?A)circumcenterB)incenterC)centroidD)orthocenter26)527)True or false? Any three points are coplanar.A)TrueB)False27)28)If an 8-inch wide rectangle is to approach the golden ratio, what should its length be?A)16 in.B)10 in.C)13 in.D)12 in.28)29)Which basic geometric idea is suggested by a spoke in a bicycle wheel: a ray, a line, a line segment,or an angle?A)RayB)LineC)Line segmentD)Angle29)30)Choose the word "rectangle," "square," or "rhombus" to fill in the blank and make the statementtrue.(If none of the words can be used, then write "none.")A parallelogram is a __________ if and only ifit has four congruent sides,its diagonals bisect the angles.A)squareB)rhombusC)rectangleD)none30)31)Choose the word "rectangle," "square," or "rhombus" to fill in the blank and make the statementtrue.(If none of the words can be used, then write "none.")A quadrilateral is a _________ if and only if all of its sides are congruent.A)rhombusB)rectangleC)squareD)none31)32)What type of figure is formed by joining the midpoints of the sides of a general quadilateral? (Be asspecific as possible.)A)rectangleB)squareC)parallelogramD)rhombus32)33)True or false? A triangle can have more than one obtuse interior angle.A)TrueB)False33)34)Classify the triangle as equilateral, isosceles, or scalene and as right, obtuse, or acute.1076A)Isosceles; acuteB)Isosceles; obtuseC)Scalene; obtuseD)Scalene; acute34)35)True or false? A quadrilateral can have more than two obtuse interior angles.A)TrueB)False35)636)Choose the word "rectangle," "square," or "rhombus" to fill in the blank and make the statementtrue.(If none of the words can be used, then write "none.")A quadrilateral is a _________ if and only if all of itssides are congruent and its diagonals are congruent.A)rectangleB)squareC)rhombusD)none36)37)List the first seven terms of the Fibonacci sequence.A)1, 1, 3, 4, 7, 11, 18B)1, 1, 2, 3, 5, 8, 13C)1, 2, 3, 5, 8, 13, 21D)1, 2, 4, 6, 10, 16, 2637)38)Describe the polygon as convex, concave, or neither of these.A)ConvexB)ConcaveC)Neither38)39)Choose the word