Download GEOMETRY UNIT 1 REVIEW

GEOMETRY UNIT 1 REVIEW
1. Solve for b in the diagram.
b2
Name: __________________________ Period: ___
2. Solve for t in the diagram.
3b2 + 144
3. Solve for r in the diagram.
4t-8
2r+21
6r-25
2t +15
is the bisector of ∠ABC. m∠ABC = 12t-30
4. BX
and m∠ABX = 48º. Find the value of t and m∠ABC.
5. Q is between P and R. PR = 126 ft;
PQ = 10x-8; QR = 3x + 4. Find QR.
6. Is the point (4,-7) on the graph of the linear equation described by − x + y =– 5 .
7. Find the midpoint of A(-3.5, 4.5) and B(-7.5, 1.5).
and the coordinates of point B are (11, -3), determine the coordinates of A.
8. If C(-2,6) is the midpoint of 1
2
3
9.Infigure9,whatisanothernamefor∠2inthediagram?
10.Infigure9,ifm∠2=91°andthem∠BOM=36°,find.
a.findm∠CONb.findm∠DOAc.classify∠CON,∠MON,and∠BOCbytheiranglemeasure.
11.Infigure10,iftheratioof∠COM to ∠AOM is 3 to 6, find the m∠COM and m∠AOM.
12.Infigure10,m∠COB=8x,∠COM ≅ ∠MOB, m∠BOA = 6x − 2 , 89 bisects ∠BOA, and ∠MON is a
right angle. Find m∠COB and m∠BON. Classify ∠MON.
asthesameray.
asdifferentrays
and:<
and:<
13.Draw:;
14.Draw:;
15.Drawanexampleofeachofthefollowinganglepairs.(Labeltheanglepairsusing∠1 and ∠2.)
a)linearpairanglesb)verticalangles
c)adjacentanglesd)complementaryangles
#16-33 Complete with sometimes, always, or never.
16.
17.
18.
19.
20.
21.
Two points are ______________ collinear.
Three points are ______________ collinear.
Three points are ______________ coplanar.
Two intersecting lines are ______________ coplanar.
Two skew lines are ______________ coplanar.
Two parallel lines are ______________ coplanar.
and 22. are ______________ the same ray.
23. D and D are ______________ the same segment.
24. Two angles that are adjacent angles ____________ form a linear pair.
25. Two angles that are adjacent angles are ____________ congruent.
26. If two angles form a linear pair, they are ___________________ complementary.
27. If two angles form a linear pair, they are ___________________ supplementary.
28. If two angles are supplementary, they are ___________________ congruent.
29. If two angles are complementary, they are ___________________ congruent.
30. Vertical angles are ___________________ congruent.
31. Vertical angles are___________________ complementary.
32. The two angles in a linear pair are ___________________ both acute.
33. The two angles in a linear pair are ___________________ both obtuse.
34. Know the definitions for each of the following:
Point
Segment
Opposite Rays
Ray
Endpoint
Linear Pair Angles
Vertical Angles
Acute Angle
Right Angle
Line
Plane
Coplanar
Perpendicular Bisector
Complementary Angles
Obtuse Angle
Collinear
Angle Bisector
Supplementary Angles
Straight Angle
ANSWERS
1. 3
2. 11.5
3. 47/4
4. t=10.5, 96º
5. QR=34
6. No
7. (-5.5, 3)
8.A(-15,15)
9. ∠BOCor∠COB
10.a)53º b) 91º c) acute, straight, obtuse
11. 60º 120º
12. 104º 38º right angle
16. always
17. sometimes
18. always
19. always
20. never
21. always
22. never
23. always
24. sometimes
25. sometimes
26. never
27. always
28. sometimes
29. sometimes
30. always
31. sometimes
32. never
33. never