3 What is the maximum number of regions you can make in a plane using 10 lines?

Transcription

1 Name: ate: 1 What are and? Each angle measure is in degrees.,,,, 2 MO bisects angle LMN. ngle LMO = 8x 23. ngle NMO = 2x + 37 Solve for x and find angle LMN. x = 9, x = 9, x = 10, x = 10, 3 What is the maximum number of regions you can make in a plane using 10 lines? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 1 of 16

2 4 Find the area of the shaded portion of the figure. Each vertex of square is at the center of a circle. Leave your answer in terms of. ( ) in. ( ) in. ( ) in. in. 5 re points K, E, and H collinear or noncollinear? noncollinear collinear impossible to tell opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 2 of 16

3 6 Points,, and F are midpoints of the sides of triangle E. E = 30 and F = 23. Find Two sides of an equilateral triangle have lengths: Which of the following could be the length of the third side? neither 10 x nor 6x x only both 10 x and 6x + 5 6x + 5 only opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 3 of 16

4 8 What is the contrapositive of the conditional statement illustrated by this Venn diagram? If an animal is not a poodle, then it is a dog. If an animal is not a dog, then it is a poodle. If an animal is not a poodle, then it is not a dog. If an animal is not a dog, then it is not a poodle. 9 What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38 and the two congruent sides each measure 21 units? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 4 of 16

5 10 Points,, and F are midpoints of the sides of E = 44 and F = 25. Find Find the values of the variables in the parallelogram. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 5 of 16

6 12 In parallelogram EFG, H = x + 3, HF = 3y, GH = 4x 5, and HE = 2y + 3. Find the values of x and y. x = 6, y = 3 x = 2, y = 3 x = 3, y = 2 x = 3, y = 6 13 Find values of x and y for which must be a parallelogram. The diagram is not to scale. x = 10, y = 38 x = 10, y = 21 x = 10, y = 7 x = 7, y = 10 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 6 of 16

7 14 Find M in the parallelogram if PN = 9 and O = Which statement is true? ll quadrilaterals are rectangles. ll rectangles are parallelograms. ll parallelograms are rectangles. ll quadrilaterals are squares. 16 Find the area of an equilateral triangle with the radius given: Leave your answer in simplest radical form. m 2 m 2 m 2 m 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 7 of 16

8 17 Find the area of the regular polygon. Round your answer to the nearest tenth in in in in. 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 8 of 16

9 18 Which choice is the most accurate representation of the construction of the line perpendicular to at point M? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 9 of 16

10 19 The length of E is shown. What other length can you determine for this diagram? EF = 12 G = 12 F = 24 No other length can be determined. 20 Lines s and t are parallel and r is a transversal. Which angle is congruent to? What is the correct explanation for your answer?, and are alternate interior angles., and are corresponding angles. ; and are alternate interior angles. ; and are corresponding angles. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 10 of 16

11 21 Q is equidistant from the sides of angle TSR. Find angle RST. The diagram is not to scale Find The diagram is not to scale omplete the statement. If a transversal intersects two parallel lines, then. corresponding angles are supplementary same-side interior angles are complementary alternate interior angles are congruent none of these opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 11 of 16

12 24 Ray LO bisects angle NLM. LM = 18, NO = 4, and LN = 10. Find OM grid shows the positions of a subway stop and your house. The subway stop is located at ( 5, 2) and your house is located at ( 9, 9). What is the distance, to the nearest unit, between your house and the subway stop? Find the indicated length opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 12 of 16

13 27 Find the values of x and y, given that and NQ = 17. x = 10; y = 25.5 x = 20; y = 17 x = 13; y = 25.5 x = 25.5; y = Using the lengths in the diagram, is? yes no opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 13 of 16

14 29 Jason wants to walk the shortest distance to get from the parking lot to the beach. a. How far is the spot on the beach from the parking lot? b. How far will his place on the beach be from the refreshment stand? 24 m; 32 m 38 m; 12 m 34 m; 16 m 24 m; 18 m 30 Find the geometric mean of the pair of numbers. 5 and 6 30 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 14 of 16

15 31 In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by S? 32 The length of a rectangle is inches and the width is inches. What is the ratio, using whole numbers, of the length to the width? 26 : : : : 15 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 15 of 16

16 33 In quadrilateral MNOP: Which figure (parallelogram, trapezoid, or rhombus) could quadrilateral MNOP be? parallelogram or rhombus parallelogram only trapezoid only any of the three figures opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 16 of 16