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1 of 9 1/28/2013 8:32 PM Teacher: Mr. Sime Name: 2 What is the slope of the graph of the equation y = 2x? 5. 2 If the ratio of the measures of corresponding sides of two similar triangles is 4:9, then the ratio of their perimeters is 2 2:3 4:9 16:81 8:27 2 2x The measures of the three angles of a triangle are represented by x, 3x, and x Find the value of x In the diagram, ABC is similar to DEF with A D and B E Find the number of degrees in the measure of the base angle of an isosceles triangle whose vertex angle measures A child who is 4 feet tall casts a 6-foot shadow at the same time that a nearby tree casts a 30-foot shadow. What is the height of the tree? 10 feet 30 feet 20 feet 40 feet 8. 4 If the point (-4, k) is on the graph of the equation 3x + y = -8, find the value of k. If AC = 5, AB = 3, DF = x, and DE = 5, find the value of x Write in symbolic form the inverse of ~p q. 4 Which statement has the same value as r ~s? s r r s ~s ~r s ~r ~q p q ~ p p q p ~ q

2 Midterm Review 2 of 9 1/28/2013 8:32 PM

3 of 9 1/28/2013 8:32 PM The coordinates of ABC are A(0,4), B(6,0), and C(0, 0). Find the area of ABC If the measures of the angles of a triangle are in the ratio 1:3:5, the number of degrees in the measure of the smallest angle is Figure 1 In the diagram, ACD is an exterior angle of ABC. If m B = 40, m A = 2x, and m ACD = 3x, what is the value of x? 1 1 In which graph does line L have a negative slope? Which phrase describes the graph of y = -1 on the coordinate plane? a line parallel to the y-axis and 1 unit to the right of it a line parallel to the y-axis and 1 unit to the left of it a line parallel to the x-axis and 1 unit below it a line parallel to the x-axis and 1 unit above it Let p represent x > 5 and let q represent x is a multiple of If x = 12, which statement is false? p q ~q p p q p q

4 Midterm Review 4 of 9 1/28/2013 8:32 PM Which statement is true about the graph of the line whose equation is y = 8? The line is parallel to the x-axis. The line is parallel to the y-axis. The line passes through the origin. The line has a slope of Figure 2 In the diagram, lines BC, BAD, and CAE intersect to form ABC. If m ABC = 25 and m C = 90, find m DAE Figure 3 In the diagram, ABC is similar to A'B'C', AB = 24, BC = 30, and CA = 40. If the shortest side of A'B'C' is 6, find the length of the longest side of A'B'C'. The sides of a triangle measure 9, 15, and 18. If the shortest side of a similar triangle measures 6, find the length of the longest side of this triangle In the diagram, parallelogram ABCD has vertices A(2, 1), B(8, 1), C(11, 5), and D(5, 5). The two acute angles in an isosceles right triangle must measure: 30 and and and and 45 What is the area of parallelogram ABCD?

5 of 9 1/28/2013 8:32 PM 2 3 What is the slope of the line whose equation is y = 3x - 5? Which line L has a slope of zero? x 2 1 What is the converse of p q? q p ~q ~p ~p ~q p ~q 2 2 In the diagram of ABC, m B = How many integers values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle? What is the value of? The measure of the vertex angle of an isosceles triangle is three times the measure of a base angle. Find the number of degrees in the measure of a base angle Figure 4 In the diagram of ABC,, and are angle bisectors, and m BAC = 20. Find m BDC

6 6 of 9 1/28/2013 8:32 PM Figure 5 In the diagram of ABC, m ACB = 90 and If AD = 2 and DB = 6, find AC is an altitude. What is the distance between the points (-1, 2) and (2, 6)? Which set of numbers could represent the lengths of the sides of a triangle? {9, 16, 20} {3, 4, 8} {8, 11, 19} {11, 5, 5} Figure 6 In the diagram, and are parallel. If the ratio of AD:DB = 2:5, and CE = 6, find EB In ABC, an exterior angle at A measures 40. Which is the longest side of the triangle? 3 2 What is the slope of the line that passes through the points (1, 3) and (3, 7)? 2 4

7 Midterm Review 7 of 9 1/28/2013 8:32 PM Figure 7 In the diagram of rectangle ABCD,. If AE = 3 and EC = 9, what is AD? What is the slope of a line that is perpendicular to the line whose equation is y = 4x + 1? The measure of the altitude of an equilateral triangle whose side has length 6 is Two angles of a triangle have measures of 55 and 65. Which could not be a measure of an exterior angle of the triangle? Figure 8 In the diagram of ABC:, DB = 6, AD = 2, and DE = 9. Find AC In right triangle ABC, is the altitude drawn to hypotenuse. If AD = 6 and DB = 24, find CD Find the length of a leg of an isosceles right triangle whose hypotenuse measures The vertices of parallelogram ABCD are A(2, 4), B(0, 0), C(6, 2), and D(8, 6). Find the coordinates of the intersection of the diagonals. (1, 2) (4, 3) (3, 1) (7, 4)

8 Midterm Review 8 of 9 1/28/2013 8:32 PM Figure 9 In the diagram, the length of each side of the equilateral triangle is 10. What is the length of altitude h? The vertices of quadrilateral ABCD are A(3, 0), B(4, 3), C(7, 3), and D(6, 0). Is quadrilateral ABCD a rhombus? yes no cannot tell Figure 10 In the diagram, three vertices of parallelogram ORST are O(0, 0), R(b, d ), and T(a, 0). What are the coordinates of S? (a, b) (a, d ) (a + b, d ) (a + b, b) What is an equation of a line that passes through the point (0, 3) and is perpendicular to the line whose equation is y = 2x 1? y = 2x + 3 y = 2x + 3 y = x y = x + 3 The midpoint of is M. If the coordinates of A are (2, -6) and the coordinates of M are (5, -1), what are the coordinates of B? (3, 5) (-4, -8) (8, 4) (, - ) In ABC, m B > m C and m C > m A. Which side of ABC is longest?

9 of 9 1/28/2013 8:32 PM The line that passes through points (1, 3) and (2, a) has a slope of What is the value of a? Find, to the nearest tenth, the distance between two points whose coordinates are (-2, 5) and (3, -4)

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