Fall Semester Exam Review Part 2
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1 Name Teacher Class Period all Semester Exam Review Part 2
2 26 Triangle KL is on the coordinate grid below. 28 Line Segment RS is shown on the coordinate grid below. What is the slope of the altitude from Vertex to Line Segment KL? Line Segment TU is parallel to Line Segment RS. If Point T has coordinates (4, 5), what are the coordinates of Point U? (9, 2) (9, 1) (10, 2) (10, 1) 29 Explain why you can conclude that and 27 Which of these equations is perpendicular to the midpoint of the line segment that contains the points ( 4, 4) and (2, 2)? shown below are congruent but cannot conclude that and are congruent. A y = x B y = -x + 2 C y = -x D y = x + 2 Page 8 O ON
3 30 Complete the following statements: If two parallel lines are cut by a transversal,,, and angles are congruent. Interior or exterior angles on the same side of the transversal are always. 33 Assume Identify the relationship between the indicated angles in the diagram below. Are these angles always congruent? 31 A triangle has coordinates at (-2, 0), (2, -2) and (1, 2). Plot this triangle on a coordinate grid. If the x and y-coordinates are interchanged, will the new triangle be congruent? ustify your answer. 34 What additional information is needed to prove the two triangles shown are congruent under Angle-Side-Angle congruence? 35 Which congruence best expresses the relationship showing that the triangles below are congruent? 32 An isosceles triangle with perimeter 16 is congruent to an isosceles triangle with base 6 and legs 5. Always Sometimes Never It can not be determined from given information. A B SSS SSA C SAS D ASA Page 9 O ON
4 36 If you know that point M is the midpoint of and, which of the trinalge congruence methods could be used to prove 38 In the figure below, triangle is similar to triangle TR. and a are congruent? SSS SAS AAA ASA What is the value of Line? Quadrilateral ABCD is similar to quadrilateral WXYZ in the diagram below. 37 Triangle ABC is similar to Triangle EDC shown below. Write an equation that could be used to determine x, the length of CD? A. What conjecture can be made about the angles in quadrilateral ABCD in comparison to the angles in quadrilateral WXYZ? B. What conjecture can be made about the sides in quadrilateral ABCD in comparison to the sides in quadrilateral WXYZ? Page 10 O ON
5 40 anell graphed as shown below. What is the slope of a line that is perpendicular to? 41 On a game board, one peg has coordinates (- 5,3), and another peg has coordinates (1, -2). What is the distance between the two pegs? Round your answer to the nearest tenth. 42 The distance between Point A (p, q) and Point C (r, s) can be found by using which of the following formulas? Page 11 O ON
6 43 The grid below shows Triangle ABC. 45 The map below shows the location of Sam's house, the library, and the gas station. If Triangle ABC is reflected across the y-axis to form Triangle A'B'C', what is the change in slope from to? 44 ind the slope of each line. Based on the map, what is the distance from the library to the gas station? A Response 1 B Response 2 C Response 3 D Response 4 Response 1 Response 2 Response 3 Response 4 Page 12 O ON
7 46 iven the map below, which two streets must be parallel? 47 Triangle ABC is shown below. Ave. A and Ave. B Ave. D. and Ave. E Ave. C and Ave. E Ave. C and Ave. D What is the slope of the line that passes through the midpoints of and? A -7 B C D 48 Explain why you can conclude that and shown below are supplementary but cannot conclude that and are supplementary. Page 13 O ON
8 49 Which of the following is not one of the 5 postulates that form the framework of Euclidean geometry? A B C D A straight line can be drawn through any 2 points. A circle can be drawn with any given point as the center and with any given radius. All right angles are equal. Through a given point not on a given line there pass more than one line parallel to the given line. 50 Early recian philosophers began to accept that the surface of the earth is curved while charting star patterns and movements in the sky. They realized that at certain times of the year, some starts were no longer visible to them, but in traveling to other distant places, they could again see particular stars. The curved surface of the earth compares to which undefined term in Euclidean geometry? point line plane not here Page 14 O ON
9 51 Mr. Walker was teaching his geometry students about polyhedrons. e put the following table on the board. Polyhedron # of aces # of Edges # of Vertices Tetrahedron exahedron Octahedron epahedron Pentahedron Which conjecture correctly represents the relationship among the number of faces, f, the number of vertices, v, and the number of edges, e? A B C D 52 Complete the statements below using the words always, sometimes, or never. 1. An equilateral triangle is an isosceles triangle. 2. An obtuse triangle is a scalene triangle. 3. An isosceles triangle is a right triangle. 4. A right triangle is an obtuse triangle. 53 The vertices of a triangle are located at (3, 11), (11, 2) and (0, 2). Which of these equations passes through the altitude of the triangle at (3, 11)? A y = 3 B y = 11 C x = 3 D x = 11 Page 15 BE SURE YOU AVE RECORDED ALL O YOUR ANSWERS ON YOUR ANSWER DOCUMENT STOP
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