 ## Geometry Semester 1 Exam Study Guide-Free PDF

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Geometry Semester 1 Exam Study Guide Page 2, Triangles may NOT be proven congruent if all we know is AAA or SSA. Corresponding parts of congruent triangles are congruent CPCTC. Be able to identify whether triangles are congruent or whether corresponding. parts are congruent find triangle congruence first. Be able to supply statements or reasons given a triangle congruence proof. Be able to apply theorems postulates associated with isosceles triangles such as. the base angles theorem,o Triangle Inequalities, Be able to order the sides or angles of triangle by size. Be able to determine if three side lengths can form a triangle. Given two side lengths of a triangle give a range of possible values for the third. Be able to apply the Hinge Theorem to determine which angles or sides of a. triangle are bigger or smaller than in another triangle. o Triangle Similarity,Be able to solve proportions. Be able to solve problems using extended ratios e g finding triangle angle. Be able to find geometric means the geometric mean of a and b is given by ab. Be able to find scale factor of similar triangles and apply to find missing sides in. a similar triangles and to find perimeters of similar triangles. Be able to prove similarity using AA SSS and SAS postulates theorems. o Right Triangles, Use the Pythagorean Theorem to find a missing side of a right triangle. Determine if three sides make a triangle and if so is the triangle right acute or. Find missing sides of a triangle given a right triangle with an altitude drawn. through the right angle to the other side use geometric mean. Find missing sides of special right triangles 45 45 90 or 30 60 90. Be able to apply trigonometry ratios SOH CAH TOA and inverse trig to find. missing sides or angles of triangles,Practice Questions.
1 Given the statement If it is Monday then we have art class write the converse. inverse and contrapositive of the statement Assuming the initial statement is true. what are the truth values of the other statements, 2 What is the inverse of the statement If 4 x 8 then x 2. a If x 2 then 4 x 8 b If x 2 then 4 x 8,c If x 2 then 4 x 8 d If 4 x 8 then x 2. Geometry Semester 1 Exam Study Guide Page 3,3 Assuming these statements are true. Some athletes are fast runners,All fast runners like chocolate. Which of the following is a valid conclusion, a All fast runners b All athletes like c Some fast runners do d Some athletes.
are athletes chocolate not like chocolate like chocolate. 4 According to the Venn diagram at right which is true. There may be more than one correct answer,a Some musicians play only brass. b No musicians play both strings and brass,c All musicians play strings. d Some musicians play brass and strings,5 Consider the following statements. p The sum of three angles is 180o,q The three angles can form a triangle. Which of the following is a symbolic representation of the statement. If three angles cannot form a triangle then the sum of the angles is not 180o. a p q b q p c p q d q p, 6 Consider the following arguments If the first two statements are true in which.
argument is the third statement an invalid conclusion There may be more than one. correct answer,a If it snows then we will not have school. If we do not have school we will not have a test,If we did not have a test then it snowed. b If Mary does her homework she will get an A,If Mary gets an A she will not be punished. If Mary is punished then she did her homework,c If you pass the test you will get a gold star. If you get a gold star you will get a certificate, If you did not get a certificate then you did not pass the test.
d If Bobby cleans his room then he will get his allowance. If Bobby gets his allowance he will buy a video game. If Bobby cleans his room then he will buy a video game. Geometry Semester 1 Exam Study Guide Page 4, 7 Based strictly on the diagram at right which is a valid. conclusion There may be more than one correct, a Some science fiction novels are also romance novels. b No science fiction novel is also a mystery,c No mysteries are also romance novels. d No romance novels are also science fiction, 8 If p represents the remainder of x 2 is 0 and q represents x is an even number. which is a symbolic representation of, If the remainder of x 2 is not 0 then x is not even.
a p q b q p c p q d q p, 9 What is the midpoint of the segment joining 12 2 and 5 7. a 9 17 b 5 3 c 8 5 4 5 d 3 5 2 5, 10 The coordinates of the midpoint of AB are 2 1 and the coordinates of A are 2 3. What are the coordinates of B,a 0 2 b 1 2 c 3 4 d 6 1. 11 What are the coordinates of the midpoint of XY,a 0 5 4 b 3 5 4 c 3 1 5 d 0 5 0 5. 12 Using the same diagram as the previous question what. is the length of XY to the nearest tenth,a 4 1 b 8 1 c 3 9 d 9 2.
13 If line a is parallel to line b what is m 1,a 40o b 50o c 90o d 140o. 14 Line a is parallel to line b if there may be,more than one correct answer. a m 1 m 8 b m 3 m 6,c m 4 m 5 d m 3 m 2,Geometry Semester 1 Exam Study Guide Page 5. 15 George used a decorative fencing to enclose his. deck Using the information on the diagram and,assuming the top and bottom are parallel m x is. a 50o b 80o c 100o d 130o,16 Line l intersects lines w x y and z Which.
two lines are parallel,a w and x b w and y,c x and z d y and z. 17 BA is parallel to CD if,a m 1 m 2 b m 3 m 4,c m 1 m 2 90 d m 1 m 2 m 3 m 4. 18 The measure of YZV is 40o and the measure of XYZ is 65o. Which of these angles must measure 40o in order for VR to be. parallel to YZ,a YVZ b ZVR c ZYV d VRX, 19 What value of x will show that lines l and m are. a 42 b 96 c 30 d 6, 20 Angle 1 is a complement of angle 2 If m 1 14x 8 and m 2 8x 6 what is the value. of x and of m 1,Geometry Semester 1 Exam Study Guide Page 6.
21 What is m 3,a 65o b 75o c 85o d 90o, 22 Two angles of a triangle measure 89o and 32o Classify the triangle by its sides and. a isosceles right b scalene acute c equilateral d scalene obtuse. equiangular, 23 Which of the following equations represent a line with slope 5 and passes through. a 5x y 3 b 5x y 3 c 5x y 3 d 5x y 3, 24 What is the slope of the line in the graph at right. a b c 2 d 3, 25 Write an equation of the line perpendicular to the line. shown in the graph at right same as the previous,question and that passes through the point 4 3 on.
the perpendicular line, 26 In ABC D is the midpoint of AB and E is the midpoint of BC If AC 3x 15 and. DE 6 what is the value of x, 27 What is the slope of the line perpendicular to 7 x 3 y 10. 28 What is the slope of a line parallel to the line formed by connecting coordinates 1 5. a 1 b 1 c d,Geometry Semester 1 Exam Study Guide Page 7. 29 If ACB CAD what is the value of x and y, 30 Which two points determine a line parallel to QR. a 2 1 and 2 1 b 1 4 and 5 2,c 1 1 and 2 3 d 1 1 and 2 1.
31 The line formed by points 5 1 2 6 and the line formed by points 3 10 2 3. a parallel b perpendicular c not parallel or d unable to determine whether they. perpendicular are parallel or perpendicular,32 Given AC BD AD BC. Which could be used to prove DCA CDB,a SSS b SAS c ASA d AAS. 33 Given AE and BD bisect each other at C,Which could be used to prove ABC EDC. a SSS b SAS c ASA d AAS, 34 Which of the following could be the lengths of the sides of ABC. a AB 12 BC 15 AC 2 b AB 9 BC 15 AC 4,c AB 150 BC 100 AC 50 d AB 10 BC 8 AC 12.
35 In ABC m B 59 and m C 57 From shortest to longest the sides of ABC are. a AC BC AB b AB BC AC c BC AC AB d AB AC BC,Geometry Semester 1 Exam Study Guide Page 8. 36 On a map cities Binghamton Endicott and Johnson City form a triangle Endicott is. 70 miles away from Binghamton and Johnson City is 90 miles from Binghamton. Which is a possible distance from Endicott to Johnson City. a 5 miles b 10 miles c 150 miles d 200 miles, 37 Triangles ABC and DEF are similar and have measurements as shown What is EF. 38 Given AXY ABC, Which is a true proportion There may be more than one correct. AX AY XY AX AY XY AB AC BC AX AC XY,AB AC BC XB YC BC AX AY XY AB AY BC. 39 The ratio of the perimeter of U to the perimeter of. V is 1 2 If the triangles are similar what is the,value of x y.
a 3 b 6 c 12 d 18,40 ABC EFG What is the perimeter of EFG. a 21 b 24 c 36 d 42,41 The geometric mean of 8 and 10 is. a 9 b 40 c 4 5 d 5 4, 42 In right triangle ABC shown in the diagram altitude. BD is drawn to hypotenuse AC CD 12 and AD 3, What is the length of BD and AB Answer in simplest. radical form,Geometry Semester 1 Exam Study Guide Page 9.
43 Using the figure out at right find x y and z Then find. the perimeter of the figure, 44 The figure at right shows ABC which is a right triangle with. altitude AD drawn AD BC Find the values of a e d and f. 45 The support legs on a bench are attached in such a way that the angle made by one. with the ground is 130o What must the measure of the. angle marked x be in order for the seat of the bench to be. parallel to the ground, 46 Which triangle is not congruent to the other three. 47 Mr Anderson is constructing a walkway through his rectangular garden The walkway. runs diagonally as shown in the diagram To the nearest. tenth what is the length of the walkway,Geometry Semester 1 Exam Study Guide Page 10. 48 An image of a target is shown To the nearest tenth. what is the value of x, 49 What is the value of x Round to the nearest tenth. 50 Find to the nearest tenth of a degree, 51 Given a triangle with the following sides 7cm 10cm and 11 cm Is the triangle acute.
obtuse or right,52 In the diagram m A x 2 6 x m B 2 x 3 and. m ACD 9x 27 What is m A,53 Given AD bisects BC at E. Prove AB DC,Statements Reasons,1 AD bisects BC at E 1. 2 2 Def of segment bisector,4 ABC is a rt angle 4,6 DCE is a rt angle 6. 7 7 All rt angles are,8 AEB DEC 8,9 AEB DEC 9,10 AB DC 10.
Geometry Semester 1 Exam Study Guide Page 11,conv If we have art class then it is Monday F. Inv If it is not Monday then we don t have art,contra If we don t have art class then it isn t. 13 a 14 a b c,19 c 20 x 4 m 1 64,25 y 3x 15 26 x 9. 29 x 8 y 12 30 d,37 c 38 a c,41 c 42 BD 6 AB 3 5,43 x 100 2 44 a 12. z 100 f 9 6,45 50o 46 a,47 28 3 ft 48 13 2 in,49 21 2 50 56 3o.
51 acute 52 135o,53 1 given,4 def of perpendicular. Geometry Semester 1 Exam Study Guide Page 4 7 Based strictly on the diagram at right which is a valid conclusion There may be more than one correct answer a Some science fiction novels are also romance novels b No science fiction novel is also a mystery