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Midterm Review Form G Revised Ans Name - … Review Form G Revised Ans Name _____ Page 9 of 13...
Transcript of Midterm Review Form G Revised Ans Name - … Review Form G Revised Ans Name _____ Page 9 of 13...
Midterm Review Form G Revised Ans Name ___________________________________
Page 1 of 13 Chapters 1 through 5
Midterm Test Format: 85 points
Part I
Section A. Multiple Choice. 13 points
All chapters: includes finding measures (from drawings and descriptions), properties and vocabulary.
There are 4 – 5 choices (a, b, c, d, e) for each problem.
Section B. Short Answer. 27 points
All chapters: includes finding measures (from drawings and descriptions), properties and vocabulary. Some items are true or false.
Part II Section A. Long Answer. Show ALL work and circle your answer! 28 points
Finding the nth term.
Sketch figures given a description and mark diagram.
Flowchart proofs & paragraph proofs.
Triangle inequality properties.
Part II Section B. Constructions. Show ALL work, briefly list your steps and show all construction marks! 13 points
Know all the basic constructions (duplicate segments, perpendicular bisector, duplicating triangles).
Construct a triangle.
Construct a segments and draw angles of specified measures.
Draw various types of segments and rays: angle bisectors, perpendicular bisectors, altitudes, medians, midsegments…
Draw and Construct various quadrilaterals (parallelogram, rhombus, rectangle or square).
Part II Section C. Problem Solving. Show ALL work and explain your answers fully! 4 pts
In this first part of the course, there were very few real-life applications, so you should know what to study here.
Helpful hints:
Study all notesheets, worksheets and any summary sheets. Know the vocabulary and the notations.
Test yourself by re-doing homeworks, especially the ones you know you had trouble with.
Test your knowledge of the material. If you know it, move on, if not, do more of that type of problem!!
Use the website and flash cards on the website for review.
Don’t study at a slow pace. There will not be any extended time on the test so you need to keep pace!!
DO NOT wait till the night before to study!!!!
Midterm Review Form G Revised Ans Name ___________________________________
Page 2 of 13 Chapters 1 through 5
Midterm Additional Practice:
Lesson 1.3
Lesson 1.5
Lesson 1.6
Lesson 1.7
90m Q m R
complementary
77m Q so
77 90m R and
13m R
13m R m P
(other deductive
explanations
accepted)
48mQR
180 48 132mPR
180 48 228mPQR
360 48 312mQPR
48
228 312
132
Midterm Review Form G Revised Ans Name ___________________________________
Page 3 of 13 Chapters 1 through 5
Lesson 2.2
Lesson 2.2
Lesson 2.4
1. How many diagonals can be drawn into a 15-gon?
Lesson 2.5
3
2
n n =
15 1290
2
Midterm Review Form G Revised Ans Name ___________________________________
Page 4 of 13 Chapters 1 through 5
Lesson 2.6
Find each angle measure
Midterm Review Form G Revised Ans Name ___________________________________
Page 5 of 13 Chapters 1 through 5
Do all drawing and construction on a separate paper. Lesson 3.1 Construct ONLY!
Lesson 3.2 Construct ONLY!
Lesson 3.3 On #8, you may use a protractor to measure your 90 angles.
Lesson 3.5 On #5 & 6, you may use a protractor to measure your angles. If you measure any segments with a ruler, you must indicate
the measures in your drawings!
Lesson 3.6 On #3, you may use a protractor to measure your angles. If you measure any segments with a ruler, you must indicate the
measures in your drawings!
ALL
CONSTRUCTIONS
ARE ON THE LAST
PAGES OF THIS
KEY!!
Midterm Review Form G Revised Ans Name ___________________________________
Page 6 of 13 Chapters 1 through 5
Lesson 3.3
Lesson 3.4
Ch 3 Applications
Dry Lake county planners need to build a
fuel station that is equidistant from three
fire houses pictured at the right. Draw the
location of the fuel station, F, and explain
why you chose that point.
What if they needed a station that is equidistant
from the roads connecting the fire stations?
draw the triangle
draw perpendicular bisectors
**Because points on the
perpendicular bisectors are
equidistant from the endpoints of
the segment
draw angle bisectors (NOT SHOWN!)
**Because points on the angle bisectors are
equidistant from the sides of the angle
ALL
CONSTRUCTIONS
ARE ON THE LAST
PAGES OF THIS
KEY!!
2.9
2.9
3 3
1.9
1.9
Midterm Review Form G Revised Ans Name ___________________________________
Page 7 of 13 Chapters 1 through 5
Lesson 4.1
In Exercise 3, determine the angle measures.
Lesson 4.2
Find the missing measures.
Lesson 4.3
17 36 53 ; 36 17 19
19 53side
Midterm Review Form G Revised Ans Name ___________________________________
Page 8 of 13 Chapters 1 through 5
Lesson 4.4 & 4.5: You will be allowed to do either paragraph or flowchart proofs. Answers in paragraph form. In Exercises 1–6, name a triangle congruent to the given triangle and prove that they are congruent. If you cannot show any triangles
to be congruent from the information given, write “cannot be determined” and explain why.
Lesson 4.6
PI TO given
PO IT given
OPT PTI ||, alt. int. angles =.
(No more possible statements.)
So Cannot be dertermined, because SSA
does not guarantee congruence.
PS is the angle bisector of QPR given
QPS SPR Def. angle bisector.
PS PS same segment.
90m QSP m PSR Def. perpendicular or
Linear pair supp.
QPS RPS by ASA
M is the midpoint of WX and YZ given
YM MZ and WM MX Def. of midpoint
YMW ZMX Vertical angles =
YMW ZMX by SAS
YW ZX by Def. or CPCTC
TP RA given
PTR ART given
TR TR same segment.
PTR ART by SAS
TA RP by Def. or CPCTC
Midterm Review Form G Revised Ans Name ___________________________________
Page 9 of 13 Chapters 1 through 5
Lesson 5.1
AD BC given
parallelogram
CDB DBA
Definition of
parallelogram
A C
ADB DBC
DB DB
If ||, AIA =
If ||, AIA =
ASA
CDB ABD
Def of Congruent
Triangles
IT TE
given IKT EKT
Def. of Kite
bisectsKT EKI
and ETI
KT KT
SSS
KET KIT
Def of s
Def. of Kite
Def of s
3) Work:
180 10 170 interior angle
36010
36036
10
n
n
36 sides
4) Work:
( 2)180 2340
( 2)180 2340
180 180
2 13
15
n
n
n
n
Midterm Review Form G Revised Ans Name ___________________________________
Page 10 of 13 Chapters 1 through 5
Lesson 5.2
Lesson 5.3
Show (at the very least):
56 2 116
2 60
30
x
x
x
Show (at the very least):
12 4 220
12 216
18
x
x
x
2(18) 3 33PS
2x – 3
4x + 1 4
2) Work:
( 2)180 3960
2 22
24
n
n
n
4) Work:
( 2)180 2 360
2 4
6
n
n
n
Midterm Review Form G Revised Ans Name ___________________________________
Page 11 of 13 Chapters 1 through 5
Lesson 5.4
Lesson 5.5
Lesson 5.6
48mQR
180 48 132mPR
180 48 228mPQR
360 48 312mQPR
48
228 312
132
51 48
70 35.5
68 59
53
Show:
4129
2
41 58
17
x
x
x
Show:
6 4 46
6 42
7
x
x
x
2(7) 7 7
7 9 16
Midterm Review Form G Revised Ans Name ___________________________________
Page 12 of 13 Chapters 1 through 5
CONSTRUCT! Arc marks only!!!
CONSTRUCT! Arc marks only!!!
Lesson 3.3 Use protractor for 90º. Arc marks for equal sides. There are various methods!
1) copy AB
2) draw 90º angles at A and B
3) copy CD, make two sides
from A and B.
4) connect the intersections.
Midterm Review Form G Revised Ans Name ___________________________________
Page 13 of 13 Chapters 1 through 5
6. Many different trapezoids are possible.
2) could find midpoint by measuring and bisecting
the given segment.
1) copy P
38º
3. Many different rectangles are possible!!
8. Is on page 6. Should be accurate size!