GB Sec. 2.4 p. 99 – 100, #3 – 24
I. Identifying Postulates. State the postulate illustrated by the diagram.
5. Conditional Statements: Postulate 8 states that through any three noncollinear points there exists
exactly one plane.
a. Rewrite Postulate 8 in if-then form.
b. Write the converse, inverse, and contrapostive of Postulate 8.
converse:
inverse
contrapostive
c. Which statements in part (b) are true?
USING DIAGRAM: Use the diagram to write an example of each postulate.
6. Postulate 6
7. Postulate 7
8. Postulate 8
9. SKETCHING. Sketch a diagram showing ⃡𝑋𝑌 intersecting 𝑐 at point T, so ⃡𝑋𝑌
⃡
diagram, does 𝑊𝑇
have to be congruent to TV ? Explain your reasoning.
⊥ ⃡𝑊𝑉
. In your
10 TAKS REASONING: Which of the following
statements cannot be assumed from the diagram?
A. Points A, B, C, and E are coplanar
B. Points F, B, and G are coplanar
⃡
C. 𝐻𝐶
⃡
D 𝐸𝐶
⃡
⊥ 𝐺𝐸
intersects plane M at point C.
ANALZYING STATEMENTS: Decide whether the statement is true or false. If it is false, give a real-world
counterexample.
11. Through any three points, there exists exactly one line.
12. A point can be in more than one plane.
13. Any two planes intersect.
USING A DIAGRAM: Use the diagram to determine if the statement is true or false.
14. Planes W and X intersect at ⃡𝐾𝐿 .
15. Points Q, J and M are collinear.
16. Pints K, L, M, are R are coplanar
⃡ and 𝑅𝑃
⃡
17. 𝑀𝑁
intersect.
⃡
18. 𝑅𝑃
⊥
plane W
19. ⃡𝐽𝐾 lies in plane X.
20.  PLK is a right angle
21.  NKL and  JKM are vertical angles.
22.  NKJ and  KJM are supplementary angles.
23.  JKM and  KLP are congruent angles.