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Informal Geometry
Chapter 2 Review
Name:
Date:
GO OVER VOCAB, DEFINITIONS, THEOREMS, POSTULATES, AND PROPERTIES!!!
1. A is the midpoint of BC. AB = 3x +7 and AC = 17 – x. Find the value of x.
2. P is the midpoint of ST. ST = 45. If SP = 2x and PT = 13 + 4x, find the value of x, SP, and PT.
3. DF is bisected at point E, and DF = 18. What do you know about the lengths of DE and EF.
4. B is the midpoint of AC. AC = 36. Find the value of x.
A
B
C
2x + 4
5. R is the midpoint of QS. QR = d + 4 and RS = 3d. Find the value of d.
6. Find the coordinates of the midpoint of AB given A(1, -3) and B(-1, 6)
7. T or F…If AB is congruent to CD, then CD is congruent to AB
8. T or F…If AB is congruent to BC, the B is the midpoint of AC
9. T or F…If RS bisects TU, the RS = TU
10. Use the given diagram. If RV bisects QRT , QRT and TRS form a linear pair, and
mVRT  35 , find mQRT and mTRS
11. If m  1 = 2x and m  2 = 4x. Find the value of x if  1 and  2 are complementary.
12. Name 2 angles that form a linear pair.
13. Name two angles that are adjacent to MRN .
14. If m  1 = 40, find the supplement of  1.
15. If m  2 = 31, find the complement of  2.
16. Find the value of x.
17. Find the value of n.
Directions: If needed, re-write each statement as an if-then statement. Then, identify the hypothesis
and conclusion in the statements by underlining the hypothesis once and the conclusion twice.
18. If today is Wednesday, then tomorrow is Thursday.
19. The St. Louis Cardinals will win the World Series if they beat the Texas Rangers.
Directions: Rewrite each statement as an if-then statement.
20. Linear pairs are supplementary.
__________________________________________________________________________________
21. You live in Illinois if you live in Chicago.
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Directions: State the property that justifies each statement.
22.
If m4  35 and m5  35 , then m4  m5 .
23.
If x + 5 = 20, then x = 15.
24.
If m1 m2 , then m2  m1.
25.
AC = AC
26.
If m1  m2  180 and m1  56 , then 56  m2  180 .
27.
Given: A is the midpoint of MT and T is the midpoint of AH, show that MA = TH. Fill in the
missing pieces to this proof.
M
A
T
H
Logical Reasoning
MA = AT
Definition of a
AT = TH
Definition of a
MA = TH
Property of Equality