Download Geometry Chapter 2 Quiz Name

Geometry Chapter 2 Quiz
Name _______________________
Name________________________________
________ 1) Write a conjecture about the next term in this sequence: -9, -5, -1, 3, 7, ____
________ 2) A conjecture given that L is the midpoint of AP is:
A. AL = AP
B. AL = LP
C. LP = AP
D. AM = MP
________ 3) If a + b  8 and a = 2, then b < 6. Which of the following is a counterexample?
A. b = 3
B. b = 5
C. b = 6
D. b = a
4. Identify a) the hypothesis and b) the conclusion of the statement: If 𝑥 2 = 4, then x = 2 or x = –2.
a) H:______________________________________________________
b) C:______________________________________________________
#5-7. Use the statement and the choices shown below.
If a ray bisects an angle, then it divides the angle into two congruent angles.
A. If a ray does not bisect an angle, then it does not divide the angle into two congruent angles.
B. If a ray does not divide an angle into two congruent angles, then it does not bisect the angle.
C. If a ray divides an angle into two congruent angles, then it bisects the angle.
_______ 5) Which choice is the inverse of the given statement?
_______ 6) Which statement is the contrapositive of the given statement?
_______ 7) Which statement is the converse of the given statement?
#8-17. True or False
______ 9) The statement immediately following the word if is called the conclusion of an if-then statement.
_____ 10) The statement immediately following the word if is called the hypothesis of an if-then statement.
_____ 11) A postulate is a statement that is accepted as true.
_____ 12) A theorem is a statement that is accepted as true.
_____ 13) If two lines intersect, then they intersect in exactly one point.
_____ 14) If two planes intersect, then they intersect in exactly one point.
_____ 15) If two points lie in a plane, then the line containing the points lies in that plane.
_____ 16) Two intersecting lines are contained in one plane.
_____ 17) If point A lies in plane P, then AB lies in plane P
_____ 18) If AB = BC and A, B, and C are collinear, then B is the midpoint of ̅̅̅̅
AC.
#18-24. Name the definition, property, postulate, or theorem that justifies each statement.
_____________________________ 19) If x = 2, then 2 = x.
_____________________________ 20) If x + 3 = y, then x = y – 3.
_____________________________ 21) ̅̅̅̅
𝐷𝐸 ≅ DE .
_____________________________ 22) If XY = WZ, then XY + TU = WZ + TU.
_____________________________ 23) If m∠ 1 + m∠ 2 = 180 and m∠ 2 + m∠ 3 = 180, then ∠ 1 ≅ ∠ 3.
_____________________________ 24) If ∠ 1 and ∠ 2 are vertical angles, then ∠ 1 ≅ ∠ 2.
_____________________________ 25) If AB = CD, and CD = EF, then AB = EF.
25. Write a two-column algebraic proof .
If
2x  7
 5 , then x = 11.
3
Proof:
Statements
Reasons
1. ___________________________________
1. ____________________________________
2. ___________________________________
2. ____________________________________
3. ___________________________________
3. ____________________________________
4. ___________________________________
4. ____________________________________
A
26. Given: AC  BD
B
EC  ED
E
Prove: AE  BE
D
C
Proof:
Statements
Reasons
1. ______________________________
1. ________________________________
2. AC = BD: EC = ED
2. ________________________________
3. AC = _______ + ________
3. ________________________________
BD = _______ + ________
4. ______________________________
4. Substitution
5. AE + EC = BE + EC
5. ________________________________
6. ____________________________
6. ________________________________
7. ____________________________
7._________________________________
#27-29. Find the measure of each numbered angle, and name the theorem that justifies your work.
m1 = ____________ 27) 2 and 3 are supplementary;
2 = 149.
m3 = ____________
27)
2
1
3
_________________________________________ Theorem
m5 = ___________ 28) Given: 6  7
28)
m6 = ___________
4
5
87
m7 = ___________
6
m8 = ___________
_________________________________________ Theorem
x = _______________ 29)
m1 = ___________
m2 = ___________
_________________________________________ Theorem
29)
1
(3x + 80)
2
(5x + 20)