Midterm Review Form G Revised Ans Name - Palisades … · Midterm Additional Practice: Lesson 1.3 77 90 ... Midterm Review Form G Revised Ans Name _____ Page 9 of 13 Chapters

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 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



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



Lesson 2.6

Find each angle measure



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!!



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



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



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



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



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



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



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.



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!

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Midterm Review Form G Revised Ans Name - Palisades … · Midterm Additional Practice: Lesson 1.3 77 90 ... Midterm Review Form G Revised Ans Name _____ Page 9 of 13 Chapters