1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape?

Size: px

Start display at page:

Download "1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape?"

Melanie Banks
6 years ago
Views:

1 1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape? Use the figure below to answer the following questions. 2. Which statement must be true to determine that lines m and n are parallel? (a) m 1 = m 2 (b) m 1 = m 4 (c) m 1 = m 6 (d) m 1 = m 8 3. If m 5 = (6x + 10) and m 2 = (2x - 14), then what is the value of x that will prove lines m and n are parallel? 4. If m n, m 7 = (3x 105), and m 1 = (2x + 10), what is m 2? What is m 8? 5. In order to prove m n, which statement must be true? (a) 1 4 (b) 2 6 (c) 6 7 (d) If m 1 = 10x and m 2 = 3x - 2, what is the m 3? Page 1 of 5

2 Use the parallelogram below to answer the following questions. 7. If AC BD and the m BDC = 25, which reason could you give to justify that the m ADB = 65? (a) If the diagonals are congruent, then the parallelogram is a rectangle. (b) If the diagonals are congruent, then the diagonals are perpendicular. (c) If the diagonals are congruent, then the parallelogram is a rhombus. (d) If the diagonals are congruent, then each pair of vertical angles are congruent. 8. If the quadrilateral ABCD is a rectangle, and if the length of AB = 2x + 3, BC = 3x, and DC = 27, then which of the following equations can be used to solve for x? (a) 3x = 27 (b) 2x + 3 = 27 (c) 2x + 3 = 3x (d) x = 2x Which could be the coordinates of the fourth vertex of rectangle ABCD if the other coordinates are A(-1, 5), B(6, -2), and C(3, -5)? (a) (-5, 3) (b) (-4, 2) (c) (0, -2) (d) (2, 8) 10. Which quadrilateral has diagonals that are both congruent and perpendicular to each other? (a) kite (b) square (c) rectangle (d) rhombus 11. Point Q is in the interior of BAC. BAC is an obtuse angle. Using deductive reasoning, which statement about BAQ can be proven? (a) BAQ is a right angle. (b) BAQ and QAC are vertical angles. (c) BAQ and QAC are adjacent angles. (d) BAQ has a measure that is half the measure of BAC. Page 2 of 5

3 12. A and B are complementary. A and C are complementary. What can you conclude about B and C? (a) B and C are supplementary. (b) B and C are adjacent. (c) B and C are congruent. (d) B is larger than C. 13. If MN PQ and the coordinates of three of the points are M(7, -4), N(7, 6), and P(2, -3),which of these could be the coordinates of point Q? (a) (2, 0) (b) (7, -3) (c) (4, 9) (d) (-2, 2) 14. Anita made this drawing of her flower bed. She wants to put edging along side c. Between what two whole numbers will the distance of c be found? (a) 4 and 5 (b) 5 and 6 (c) 6 and 7 (d) 7 and Which of these shapes is a convex polygon? (a) (b) (c) (d) 16. Which of the following figures always has rotational symmetry of 90? (a) a triangle (b) a square (c) a rectangle (d) a parallelogram 17. What piece of information is missing in order to prove that VAN RAC by the Angle-Side-Angle Congruence Postulate? (a) N C (b) VN CR (c) VN CR (d) VA RA Page 3 of 5

4 18. In this figure, PE bisects BO. What conclusion can you make with this information? (a) BE OE (b) BPE OPE (c) PE BO (d) PE BO 19. Don wants to bisect SAT. He begins by creating arcs at point M and point R. What should Don do next to complete the construction? (a) Draw a ray from point A so that it is halfway between points M and R. (b) Draw a segment connecting points S and T. (c) Use points M and R as centers and draw a pair of arcs, keeping the same compass setting for both. (d) Draw a segment from point M to point T and from point R to point S. 20. Given: 1 2; 3 4 Prove: SPQ SRQ Complete the proof by supplying the missing statement and reason. (a) SPQ SRQ; ASA Postulate (b) SPQ SRQ; SAS Postulate (c) SPK SRK; ASA Postulate (d) SPK SRK; SAS Postulate K 21. Two cities are shown on a map at the coordinates given: Tropic of Calculus (7, -9) and Mathmaticious (2, 3). What is the shortest distance between the two cities? (a) 9 unit (b) 13 units (c) 16 units (d) 25 units 22. Alex wants to set up a concession stand at the midpoint of the soccer field sidelines. He draws the layout on a coordinate grid where goal A lined up at point (7, 0) and goal B lined up at point (-3, 2). Where should he set up his concession stand? Page 4 of 5

5 23. Dawn (Don s sister) wants to replace the carpet in part of the dining room of her house. A diagram of the area is shown below. Based on the diagram, what is the best estimate to the nearest foot for the total area? 24. Consider the following statement. All equilateral triangles are isosceles triangles. Which of the following correctly represents the CONVERSE of the statement shown above and its validity? (a) If a figure is an isosceles triangle, then it is an equilateral triangle. TRUE (b) If a figure is an isosceles triangle, then it is an equilateral triangle. FALSE (c) If a figure is not an equilateral triangle, then it is not an isosceles triangle. TRUE (d) If a figure is not an equilateral triangle, then it is not an isosceles triangle. FALSE 25. Christian is viewing a picture on the computer. Using a feature on the photo viewer, the picture can be rotated on a coordinate grid. Christian places the picture in quadrant 1. Draw how the image will look under a 270 rotation counterclockwise about the origin on a coordinate grid. In which quadrant is the image after the rotation? Page 5 of 5

m 6 + m 3 = 180⁰ m 1 m 4 m 2 m 5 = 180⁰ m 6 m 2 1. In the figure below, p q. Which of the statements is NOT true?

m 6 + m 3 = 180⁰ m 1 m 4 m 2 m 5 = 180⁰ m 6 m 2 1. In the figure below, p q. Which of the statements is NOT true? 1. In the figure below, p q. Which of the statements is NOT true? m 1 m 4 m 6 m 2 m 6 + m 3 = 180⁰ m 2 m 5 = 180⁰ 2. Look at parallelogram ABCD below. How could you prove that ABCD is a rhombus? Show that