National Benchmark Test 1. 1 Which three-dimensional figure does this net produce? Name: Date: Copyright by Pearson Education Page 1 of 13

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1 National enchmark Test 1 Name: ate: 1 Which three-dimensional figure does this net produce? opyright by Pearson Education Page 1 of 13

2 National enchmark Test 1 2 Which of the following is a net for this figure? 3 This figure shows a net for a cube. Which face will be opposite the face with the star? face face face face opyright by Pearson Education Page 2 of 13

3 National enchmark Test 1 4 In the diagram below, which point is not coplanar with the points and on the plane shown? F E 5 Which group of points is not coplanar?,, F, E E, F, G, H F, G,, G,, F, opyright by Pearson Education Page 3 of 13

4 National enchmark Test 1 6 Given the diagram below, which of the following statements is NOT true? and intersect in point T. and are both rays. and are both segments. and are opposite rays. 7 In the figure below, you cannot assume that and are vertical angles.. points T, P, and Z are collinear. and intersect at point P. opyright by Pearson Education Page 4 of 13

5 National enchmark Test 1 8 Which figure below shows a pair of supplementary angles that are not adjacent? 9 and are adjacent complementary angles. If, what is? 10 Which item is never used to make constructions? straightedge measurement markings on a ruler compass pencil opyright by Pearson Education Page 5 of 13

6 National enchmark Test 1 11 Which diagram shows the construction of an angle bisector? 12 What is being constructed? perpendicular bisector parallel lines circle copy of an angle 13 What is the distance between points (1, 9) and (4, 2)? opyright by Pearson Education Page 6 of 13

7 National enchmark Test 1 14 has endpoints (2, 4) and (8, y). If is 10, which could be a value of y? Q is the midpoint of. What are the coordinates of point R? (6, 5) (5, 6) (4, 5) (2, 5) 16 rectangular picture has an area of 30 square inches. The length of the picture is 1 inch more than the width. What is the perimeter of the picture? 5 in. 6 in. 11 in. 22 in. opyright by Pearson Education Page 7 of 13

8 National enchmark Test 1 17 Given that the figure below is a quarter of a circle, which of the formulas could be used to find the length of the curved part? 18 The perimeter of a rectangle is 100 ft. If its width is four times its length, what is the area? 625 ft ft ft ft 2 19 regular postage stamp is approximately 2 centimeters wide and 3 centimeters tall. If there are 5 rows of 6 stamps on a sheet, what is the approximate area of the sheet? 30 cm 2 54 cm cm cm 2 20 What is the difference between the areas of a square with a side length of 4 units and a circle with a diameter of 4 units? Round your answer to the nearest tenth. 0 units units units units 2 opyright by Pearson Education Page 8 of 13

9 National enchmark Test 1 21 museum window is formed by adding a semicircle to the top of a rectangle. The base of the rectangle is 2 feet and the height of the rectangle is 5 feet. Find the area of the window. Round your answer to the nearest tenth square feet 13.1 square feet 15.1 square feet 16.3 square feet 22 What is the next figure in the sequence? opyright by Pearson Education Page 9 of 13

10 National enchmark Test 1 23 escribe the next term in the sequence in words. a circle inside a square a square inside a circle inside a square a circle inside a square inside a circle inside a square a square inside a circle inside a square inside a circle 24 Which of the following conjectures is followed by an accurate counterexample? onjecture: When you multiply a number by 4, the product is divisible by 8. ounterexample: Multiplying 18 by 4 is 72, and 72 is not divisible by 8. onjecture: The sum of the angles in a triangle is. ounterexample: y dividing a triangle into two triangles, you can determine that the sum of the angles in both triangles is, and adding angles in both triangles will sum to. onjecture: You can connect any four points to form a quadrilateral. ounterexample: If the four points lie on a line, you cannot form a quadrilateral. onjecture: ll months that end in er have at least 30 days. ounterexample: February has only 28 days. 25 Which of the following statements can you conclude from the statement The man reads the book if and only if the book came from the library? I. If the man reads the book, then the book came from the library. II. If the man does not read the book, then the book did not come from the library. III. If the book comes from the library, then the man will read the book. IV. If the book does not come from the library, then the man will not read the book. I, II III, IV I, II, III, IV I, III 26 Which statement is the inverse of the statement If two lines are parallel, then the lines will never cross? If the lines never cross, then the two lines are parallel. If two lines are not parallel, then the lines will cross. If the lines cross, then the two lines are not parallel. If two lines are not parallel, then the lines will never cross. opyright by Pearson Education Page 10 of 13

11 National enchmark Test 1 27 Given the statement If today is Wednesday, then tomorrow is Thursday, which of the following are also true? I. The inverse of the statement II. The converse of the statement III. The contrapositive of the statement I only II and III only I and III only I, II, and III 28 Which statement and reason should go next in the following paragraph proof? Given: and are supplementary.. Prove: and are supplementary. We are given that and are supplementary. y the definition of supplementary,. is given. and are supplementary by the definition of supplementary. by the Substitution Property of Equality. and are not supplementary by the definition of supplementary. by the Symmetric Property. 29 Use the Transitive Property of ongruence to complete the statement. If and, then. 30 Given that, which statement is an example of the Symmetric Property of ongruence? opyright by Pearson Education Page 11 of 13

12 National enchmark Test 1 31 In the figure below, if, then?. 10x x 90 10x x 32 Find the value of x. x = 7 x = 14 x = 9.3 x = Name pairs of congruent angles in the figure. I. and II. and III. and IV. and I and IV II and III I and II I only opyright by Pearson Education Page 12 of 13

13 National enchmark Test 1 opyright by Pearson Education Page 13 of 13