1 Mid-Chapter Quiz

Do you know HOW?

Draw a net for each figure.

Determine whether the given points are coplanar. If yes, name the plane. If no, explain.

3. A, E, F, and B
4. D, C, E, and F
5. H, G, F, and B
6. A, E, B, and C

7. Use the figure from Exercises 3–6. Name the intersection of each pair of planes.

   1. plane AEFB and plane CBFG
   2. plane EFGH and plane AEHD

Use the figure below for Exercises 8–15.

8. Give two other names for A B ↔ . modified eh b with left right arrow above , .
9. Give two other names for P R → . p r vector , .
10. Give two other names for ∠ CPR . angle
11. Name three collinear points.
12. Name two opposite rays.
13. Name three segments.
14. Name two angles that form a linear pair.
15. Name a pair of vertical angles.
16. 1. Algebra Find the value of x in the diagram below.
    2. Classify ∠ ABC angle  and ∠ CBD angle  as acute, right, or obtuse.

    

Find the length of each segment.

17. P Q ¯ p q bar
18. R S ¯ r s bar
19. S T ¯ s t bar
20. Q T ¯ q t bar

Use the figure below for Exercises 21–23.

21. Algebra If A C = 4 x + 5 eh c equals 4 x plus 5  and D C = 3 x + 8 , d c equals 3 x plus 8 comma  find AD.
22. If m ∠ FCD = 130 m angle  and m ∠ BCD = 95 , m angle  find m ∠ FCB . m angle
23. If m ∠ FCA = 50 , m angle  find m ∠ FCE . m angle

Do you UNDERSTAND?

24. Error Analysis Suppose P Q = Q R . p q equals q r .  Your friend says that Q is always the midpoint of P R ¯ . p r bar , .  Is he correct? Explain.

25. Reasoning Determine whether the following situation is possible. Explain your reasoning. Include a sketch.

    Collinear points C, F, and G lie in plane M. A B ↔ modified eh b with left right arrow above  intersects plane M at C. A B ↔ modified eh b with left right arrow above  and G F ↔ modified g f with left right arrow above  do not intersect.

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