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Review Sheet for Test. Chapter 2. Use the conditional statement to answer questions #1-5. Conditional Statement: If three points are coplanar, then they are collinear. 1. hypothesis : _______________________________ 2. conclusion: _______________________________ - PowerPoint PPT PresentationTRANSCRIPT
Review Sheet for Test
Chapter 2
Use the conditional statement to answer questions #1-5. Conditional Statement: If three points are coplanar, then they are collinear. 1. hypothesis: _______________________________ 2. conclusion: _______________________________ 3. Is the conditional statement True or False? _______ (If false, give a counterexample.)
•• •
three points are coplanar
they are collinear
False
4. Converse: ___________________________________________________________________ 5. Is the converse True or False? _________ (If false, give a counterexample.) ________
If three points are collinear, then they are coplanar.
True
In the diagram, . Name: 6. two acute vertical angles ______________ 7. two congruent supplementary angles _______________ 8. two adjacent complementary angles
______________
VWY, TWU
VWX, XWT
VWY, WX
9. two right angles_______________
10. two obtuse vertical angles_______________
VWX, XWT
VWU, YWT
For questions #11-20, name the definition, property, postulate, or theorem that justifies each statement. Given: X is the midpoint of ; bisects CXB
11. CX + XD = CD_______ 12. mAXC = mDXB______
13. AX = XB________
N
S
O
14. m1 = m2 ______ 15. m1 = mCXB ______ 16. XE = XE______ 17. AX = AB_______
C
D
F
P
18. mAXE + mEXB = 180______ 19. mBXE + mEXA = mBXA______ 20. mCXB = mAXD______
M
M
S
In questions #21 – 25, and m1 = 49°. Find the measures of the following angles.
21. mADF = _____
22. mEDC = _____
23. mCDB = _____ 24. mADB = _____ 25. mEDB = _____
90°
131°
49°
41°
180°
In questions #21-23, . Use the given information to find the value of x.
26. m1 = (7x)°; m4 = (x + 42)° x = _____
27. m3 = (4x + 35)°; m4 = (x + 5)° x = _____
7x = x + 42
7
4x + 35 + x + 5 = 90
10
28. m4 = (7x + 13)°; mEAD = (10x – 3)°x = ______
29. m1 = (x + 1)°; mFAC = (9x – 11)° x = _____
30. m2 = (x + 1)° x = _____
7x + 13 + 10x – 3 = 18010
19
89
x + 1 + 9x – 11 = 180
x + 1 = 90
31. COMPLETE THE FOLLOWING PROOF.
Given: mCAT = mBAG Prove: m1 = m3
STATEMENTS REASONS
1. _______________________ 1. Given
2. _______________________ 2. Angle Addition Postulate _______________________
3. m1 + m2 = m2 + m3 3. _______________________
4. _______________________ 4. _______________________
5. _______________________ 5. Subtraction Prop. of Equality
mCAT = mBAG
mCAT = m1 + m2mBAG = m2 + m3
m2 = m2
m1 = m3
Substitution Property
Reflexive Property