Download Geometry Name Review – Midterm Exam – Part 1 Vocabulary: Each

Geometry
Review – Midterm Exam – Part 1
Name _____________________________
Vocabulary: Each vocabulary word will be described as a definition or a picture. You are responsible for all vocabulary words.
Regular Polygon
_________________________________________________________________________________________
Angle Bisector _________________________________________________________________________________________
Midpoint Formula _________________________________________________________________________________________
Scalene
Ray
_________________________________________________________________________________________
_________________________________________________________________________________________
Vertical Angles _________________________________________________________________________________________
Complementary Angles ___________________________________________________________________________________
Perpendicular Bisector
_____________________________________________________________________________________
Supplementary Angles ______________________________________________________________________________________
Distance Formula _________________________________________________________________________________________
Chapter 1:
1) Use the diagram at the right to find the following.
a) Three collinear points: ____, _____, ____.
d) Intersection of AC and plane Q: _________.
b) Four noncoplanar points ____, ____, ____, ____.
e) Intersection of FB and plane Q: __________.
c) Another name for plane Q: _____________.
f) Intersection of AC and ED: ___________.
2) What is the intersection of plane AEFD and plane DCHF?
3) Name the angle in four different ways.
4) Solve for x if m < RQS = 6x + 20 and m < TQS = 2x + 4. Then find m < RQS and m < TQS.
m < RQS = ________
x = _____________
m < TQS = ____________
5) Ray GH bisects m < FGI. If m < FGH = (3x – 3)o and m < HGI = (4x – 14)o, solve for x and find m < FGH, m < HGI,
and m < FGI.
x = ________
m < FGH, = ________
m < HGI = __________
m < FGI = ___________
6) Given the points P(-3, -3) and Q(5, -7):
a) Find distance PQ to the nearest tenth.
b) Find the midpoint of PQ.
Chapter 2:
7) Identify the hypothesis and conclusion of the following conditional statement.
If a student goes to CSU, then they go to school in Fort Collins.
8) Write the (a) converse, and (b) decide whether the converse is true or false.
If two angles are vertical angles, then they are congruent.
9) What conclusion can you make from the two given statements?
If three sides of one triangle are congruent to three sides of another, then the two triangles are congruent.
If two triangles are congruent, then their corresponding parts are congruent.
10) Find the value of the variable.
11) Find the value of x.
12) Find the value of x and y.
Geometry
Review – Midterm Exam – Part 2
Name _____________________________
Vocabulary: Each vocabulary word will be described as a definition or a picture. You are responsible for all vocabulary words.
Parallel Lines
_________________________________________________________________________________________
Corresponding Angles _______________________________________________________________________________________
Hypotenuse _________________________________________________________________________________________
Same Side Interior Angles
Alternate Interior Angles
________________________________________________________________________________
__________________________________________________________________________________
Scalene Triangle _________________________________________________________________________________________
Collinear
___________________________________________________________________________________
Isosceles Triangle
_____________________________________________________________________________________
Transversal ______________________________________________________________________________________
Acute Triangle _________________________________________________________________________________________
Chapter 3:
1) Use the diagram at right to best describe each of the following pairs of angles.
a) 13 and 16___________________
b) 2 and 14_____________________
c) 3 and 5_____________________
d) 8 and 14_____________________
e) 1 and 5____________________
f) 12 and 16 ____________________
2)
Find
and then
. Justify each answer.
a)
b)
m <1= ______ by: ______________________________
m <1 = ______ by: ______________________________
m <2= ______ by: ______________________________
m <2 = ______ by: ______________________________
3)
Find the value of x in the following figures.
A)
B)
C)
4) What is the measure of an interior angle of a regular 20-gon?
5) The exterior angle of a regular polygon is 20o. How many sides does the polygon have?
6) Find the value of the variable if a || b. Then find the values of the missing angles.
x =______________
Top Angle = ___________
Bottom Angle = ____________
7) Find the values of the missing variables.
Chapter 4:
8) State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles cannot be proved
congruent, write not possible.
a) ___________________ b) _________________ c) __________________ d) __________________ e) _________________


9) Find the missing angles in the figures below.
m5 = ________
m1 = ________
m6 = ________
m2 = ________
m3 = ________
m4
= ________
m7 = ________

m8 = ________





10) Find the values of x and y.
11) Given triangles XYZ ≅ EFG,
EF = 3x + 7, XZ = 2x + 10 and XY = 6x – 11.
12) Find the value of x in the figure. Justify all steps.
Statement
Reason
1. KL = x+3, LM = 2x-1, KM = 5x-4
1. Given
2. KM = KL + LM
2.
3.
3. Substitution Property of Equality
4.
4. Combine Like Terms
5. 2x – 4 = 2
5.
6.
6. Addition Property of Equality
7.
7.
Find XY.
13) Given: EG || DF ,
Prove:
EG  DF
EDG  FGD
Statement
Reason
Chapter 8:
14) Solve for x. Round to the nearest tenth if necessary.
a)
b)
15) Use the rules for special right triangles to find missing variable.
a)
b)
c)
16) Use trigonometry to solve for the missing variable.
a)
b)
c)
d) A 107-ft tall building casts a
shadow of 90 ft. To the
nearest whole degree, what is
the angle of elevation to the
sun?