Download Midterm Review Sheet

First Semester Exam Review: Geometry
Name _____________________________________________
1.) Vocabulary:
Point
Line
Plane
Ray
Adjacent Angles
Collinear
Segment
Segment Bisector
Angle Bisector
Midpoint
Noncollinear Coplanar
Noncoplanar
Congruent
Straight Angle
Acute Angle Congruent angles
Vertical Angles
Right Angle
Perpendicular Lines
Linear Pair
Obtuse Angle
Complementary
Supplementary
Parallel Lines
Skew Lines Parallel Planes
Transversal
Corresponding Angles Alt. Interior
Alt. Exterior Consecutive Angles Acute Triangle
Obtuse Triangle
Equiangular
Scalene Triangle
Isosceles Triangle
Equilateral
Vertex Angle
Base
Base Angles Hypotenuse
Legs
Median
Centroid
Supplement of an Angle
Complement of an Angle
***Know how to use the distance formula, midpoint formula, and slope formula
***Know how to use proper notation when naming items (lines, segments, planes, angles, etc.)
2.) Points A (5, 7) and B (-1, 1) lie on the graph of y = x + 2. Determine whether the following point is collinear
with A and B.
(-3, -1) _______
Determine whether each statement is True or False.
________ 3. R, S, and T are collinear.
________ 4. P, Q, and S are coplanar.
________5. R, S, and T are coplanar.
________6. Line m contains P.
7.) a. Find PQ if P (-3, 4) and Q (-5, -6).
PQ = ______________________
d  ( x  x)2  ( y  y )2
b. Find the midpoint of PQ.
xx y
midpo int  
,
2
 2
Midpoint = ______________________
y


8.) Find IJ if J is between I and M.
IJ = 3x +2
JM = 18
IM = 5x
IJ = ___________________
9.) If E is the midpoint of DF , DE = 5x – 3 and EF = 3x + 5, find “x”.
10.) F is the midpoint of segment EG, EF = x + 7, and EG = 4x + 4. Draw and label the figure.
Find FG. _________
11.) What is the measure of
? ____________
First Semester Exam Review: Geometry
12.)
a.) m <SXT = 3x – 4
m < RXS = 2x + 5
m < RXT = 111
m <RXS = ________
Name _____________________________________________
b.) m <TXS = x + 4
m <SXR = 3x + 4
m <RXP = 2x + 4
m <PXS = ________
c.) If SX bisects RXT
m SXT = x – 31
m RXT = x + 32
x = ________
13.) x = ________
16. m < ABC = 7x – 2
m < ABD = 6x + 13
17. x = ______________
m < BAC____________
19. ST bisects < RSU
m < 1 = 4x – 12
m < 2 = 2x + 6
x =__________
m < RSU =________
14.) x = ________
x =__________
15.) x = ________
m < ABC_______
18. m < ABD = 3x + 10
m < DBC = 7x
x = ___________
m < DBC_______
First Semester Exam Review: Geometry
Name _____________________________________________
1.) Identify the types of angles and tell if they are congruent or supplementary.
<1, <5 ___________ ___________ <3, <5 __________ ___________
<2, <7 __________ ___________
<4, <5 __________ ___________
<1, <4 __________ ___________
<6, <8 __________ ___________
2.) If m <4 = 3x + 8 and m < 6 = 11x + 4, find x.
________________
3.) If m <7 = 4x -7 and m <3 = 43, find x.
________________
4.) Find the slope of PQ if P (5, -2) and Q (-3, -6). ________________
Solve for x if l ΙΙ m.
6.) x = ____ m <1 = 3x + 7
m <5 = 5x – 3
<1 = ____ <5 = ____
7.) x = ____ m <4 = 8x + 12
m <6 = 2x + 54
<4 = ____ <6 = ____
8.) x= _____ m <3 = 4x + 7
m <6 = 2x + 23
<3 = ___ <6 = ____
9.) x=_____ m <4 = 2x + 7
m <8 = 6x + 3
<4 = ____ <8 = ____
***Be able to identify parallel lines, perpendicular lines, skew lines, and parallel planes from a figure.
1.) Know:
An Isosceles triangle has ________ congruent sides.
A Scalene triangle has ________congruent sides.
An Equilateral triangle has _______ congruent sides.
An Obtuse triangle has _______ obtuse angle(s).
An Acute triangle has _______ acute angle(s).
A Right triangle has 1 ______ angle.
2.) Isosceles triangle:
x = ____________
First Semester Exam Review: Geometry
Name _____________________________________________
3.)Find x:
x =______
x =______
Find the value of “x”.
_________ 4.
x =______
_________ 5.
_________6.
7. Given isosceles triangle ABC with vertex <C, if AC = 3x – 2, AB = 2x + 1, and BC = 5x – 32, find the
measure of each side.
AB = ______
BC = ______
AC = ______
1.)
3.)
x=
y=
2.)
x=
y=
4.) Decide if the given side lengths can create a
triangle. 6, 7, 9
Prove triangles congruent (SSS, SAS, ASA, AAS)
16. _____
17. ______
19. ______
x=
20. ______
18. ______