Test Review: Geometry I TEST DATE: ALL CLASSES – WEDNESDAY Sept 24. 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 and Angle 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 6) Transformations in the Coordinate Plane (Rotation, Reflection, Translation)

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 - 4 problems (40pts) Part IV. Use distance and midpoint formulas – 2 problems (20pts) Part V. Transformation – 1 problem (10pts) Part VI. Real Life Situations – 1 problem (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?

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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

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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.

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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.

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Unit 1 Segments and Angles (1).pdfUnit 1 Segments and Angles (4)Unit 1 Segments and Angles (2)Unit 1 Segments and Angles (3)