Test Review: Geometry I TEST DATE: ALL CLASSES – TUESDAY OCTOBER 6 Notes to Study: Notes A1, B1, C1, D1, E1, F1, G1 Homework to Study: Assn. 1, 2, 3, 4, 5, 6, 7 Things it would be a good idea to know:

1) All terms and definitions from Unit 1(undefined terms of geometry, point, line, plane, segment, ray, collinear, coplanar, intersect, distance, postulates, congruent, angle, sides, vertex, adjacent angles, acute, right, obtuse, midpoint, bisects, vertical angles, linear pair, supplementary, complementary)

2) How to apply the Segment Addition Postulate 3) Identify and draw models of points, lines and planes. 4) Write and solve algebraic equations using Geometry 5) Use and apply the Distance formula and the Midpoint formula

Test Outline Part I. Multiple Choice – 5 Questions (10pts) Part II. True/False – 5 Statements (10pts) Part III. Using Algebra to find measure of angles and lengths of segments - 6 problems (50pts) Part IV. Use distance and midpoint formulas – 2 problems (20pts) Part V. Drawing & Identifying a diagram – 5 problems (10pts) Practice Problems are attached.

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 1 65 Glencoe Geometry

Chapter 1 Test, Form 3 For Exercises 1-3, use the figure at the right.

1. Name five planes shown in the figure.

2. Name a line that is coplanar with and .

3. The midpoint of a line segment AB is (1, 2). Point A coordinates are (3, –3) and point B coordinates are (x, 7). Find the value of x.

4. Find the length of .

5. Find two possible lengths for if C, D, and E are collinear, CE = 15.8 centimeters, and DE = 3.5 centimeters.

6. Find the length of if S is between R and T, the length of is the length

of , RS = 3x – 3, and ST = 2x + 6.

7. Find the value of y if AC = 3y + 5, CB = 4y – 1, AB = 9y – 12, and point C lies between A and B.

For Exercises 8-10, use the coordinate grid at the right.

8. Find the distance between A and B.

9. If is the hypotenuse of a right triangle, what is the area of the triangle?

10. Find two possible coordinates of a point D on a line containing so that AD = AB.

11. Angles ABC and CBD form a linear pair at the vertex point B. Which three points, A, B, C, or D, are collinear?

1. ________________________ 2. ________________________ 3. ________________________ 4. ________________________ 5. ________________________ 6. ________________________ 7. ________________________ 8. ________________________ 9. ________________________ 10. _______________________ 11. _______________________

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 1 66 Glencoe Geometry

Chapter 1 Test, Form 3 (continued)

12. Find the value of y if S is the midpoint of , T is the midpoint of , RS = 6x + 5, ST = 8x – 1, and TU = 11y + 13.

13. Find all values of x that will make A an obtuse angle given m A = 12x – 6.

14. Find m RST if bisects RSU and bisects TSV.

15. Find m 1 if 1 is complementary to 2, 2 is supplementary to 3, and m 3 = 126.

16. Find the value of y if , Y is in the interior of WXZ, m WXY = 6y – 3, and m YXZ = 4y + 13.

17. Find the length of if is the bisector of and LN = 3x + 2.

For Exercises 18 and 19, use the coordinate grid.

18. Graph polygon ABCD with vertices A(4, 3), B(0, 3), C(–2, 2), and D(–5, 6). Then name polygon ABCD by its number of sides and classify it as convex or concave and regular or irregular.

19. Find the perimeter of polygon ABCD.

20. Darren is baking a two-layered cake and each layer is in the shape of a cylinder. The radius of the bottom layer is 5 inches and the radius of the top layer is 3 inches. Both layers are 2 inches high. Find the volume of the cake batter Darren needs to make this cake.

Bonus Suppose a regular quadrilateral and a regular triangle have the same perimeter. The sides of the triangle are 3 inches longer than the sides of

the quadrilateral. Find the lengths of the sides of the quadrilateral and the triangle.

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 1 66 Glencoe Geometry

12. _______________________ 13. _______________________ 14. _______________________ 15. _______________________ 16. _______________________ 17. _______________________ 18.

_______________________

19. _______________________ 20. _______________________ B:________________________

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 1 61 Glencoe Geometry

Chapter 1 Test, Form 2C SCORE ___________

For Exercises 1-4, use the figure at the right.

1. What is another name for line ℓ?

2. Name three points on plane P.

3. Name the intersection of planes P and N.

4. Name three noncoplanar points.

5. What is the length of ?

6. Find the length of if D is between points C and E, CD = 6.5 centimeters, and CE = 13.8 centimeters.

7. Find the length of .

8. A square has a side length of 2.3 feet. What is the area of the square?

9. A circle has a circumference of 6 cm. Find the diameter of the circle.

For Exercises 10-12, use the coordinate grid.

10. Find the distance between A and B.

11. Find the coordinates of the midpoint of .

12. Find the coordinates of a point E if C is the midpoint of .

13. The vertices of a triangle are located at P(0, 0), Q(8, 6), and R(–3, 4). What is the perimeter of this triangle?

14. Find the value of x and y if bisects and UV = 40.

1. ________________________ 2. ________________________ 3. ________________________ 4. ________________________ 5. ________________________ 6. ________________________ 7. ________________________

8. ________________________ 9. ________________________ 10. _______________________ 11. _______________________ 12. _______________________ 13. _______________________ 14. _______________________

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 1 62 Glencoe Geometry

Chapter 1 Test, Form 2C (continued)

15. Measure PQR. Then classify PQR as right, acute, or obtuse.

In the figure, and are opposite rays and bisects FEG.

16. Find the value of x if m FEG = 82, and m FEC = 5x + 11.

17. If m AED = 16y + 10, find the value of y so that 90m DEB� � � .

For Exercises 18-21, use the figure at the right.

18. Find the value of y.

19. Find m 1.

20. Find m 2.

21. Find the value of x.

23. Find the length of each side of polygon RST. 24. Two angles, 1 and 2, are supplementary. Angle 1 is an acute angle.

What type of angle is 2?

25. Stephanie wants to transfer the soil from a rectangular pot measuring 4 inches × 5 inches × 3 inches into a cylinder-shaped pot. The soil in both pots should be leveled to the top. What should be the volume of the cylindrical pot?

Bonus Find the dimensions of a rectangle whose length is 3 more than twice its width and has a perimeter of 30 centimeters.

15. _______________________ 16. _______________________ 17. _______________________ 18. _______________________ 19. _______________________ 20. _______________________ 21. _______________________ 22. _______________________ 23. _______________________ 24. _______________________ 25. _______________________ B:________________________