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Geometry EOC Review - Part C

Total questions: 40

Worksheet time: 2hrs 37mins

Name
Class
Date
1.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
2.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
3.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
4.
Which of these is called the center of gravity.
a)
orthocenter
b)
incenter
c)
circumcenter
d)
centroid
5.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
6.

Which of these divides a side of a triangle in two equal segments and always form right angles wherever it intersects.

a)

median

b)

perpendicular bisector

c)

angle bisector

7.

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

(a)  

8.

Find the length of AD

(a)  

9.

If H is the circumcenter and HC=4.5 what is the distance of the other red lines?

(a)  

10.

BD is a median of the triangle. Given DC=11, what is the length of AD?

(a)  

11.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

*there is a 2:1 ratio from the vertex to the midpoint

(a)  

12.

a triangle with two congruent sides

a)

isosceles triangle

b)

scalene triangle

c)

equilateral triangle

d)

acute triangle

13.

Order the sides from longest to shortest.

a)

WX, XV, WV

b)

WX, WV, XV

c)

WV, XW, XV

d)

WV, XV, WX

14.

What is the measure of x?

(a)  

15.

Find the indicated angle measure. (What is ?)

*think triangle angle sum and linear pair or just an exterior angle of a triangle




(a)  

16.

Write an inequality showing the possible 3rd side of a triangle. 5 & 15

a)

5<x<15

b)

10<x<20

c)

15<x<5

d)

20<x<10

17.

Do these sides make a triangle? 9,19,30

*hint...remember any two sides have to be longer than the 3rd side

a)

Yes

b)

No

18.

Using hinge theorem which side is bigger?

a)

AR

b)

RB

c)

AC

d)

CR

19.

What is the triangle congruence?

a)

ASA

b)

SAS

c)

HL

d)

SSA

20.

What is the triangle congruence pictured here?

a)

ASA

b)

SAS

c)

HL

d)

AAS

21.

What does the slope of a line tell you?

a)

Distance between two points

b)

If lines are parallel/perpendicular

c)

Midpoint

22.

Find the value of x.

*sum of exterior angles = 360

(a)  

23.

Find the sum of the interior of angles in a 12-gon.

*sum of interior angles = (n-2)180

(a)  

24.

What is the exact value of x?

*sum of exterior angles = 360

(a)  

25.

The sum of the interior angles in a polygon is 3,240o.  How many sides are in the polygon? *sum of interior angles = (n-2)180

(a)  

26.

Find the number of sides of a regular polygon with one exterior angle measuring 6⁰. *exterior angle = 360/n

(a)  

27.

Find the value of X.

(a)  

28.

Is the figure a polygon? Is it convex or concave?

a)

Not a polygon, convex

b)

Polygon, convex

c)

Not a polygon

d)

Polygon, concave

29.

Match the following due dates and other items

a)

INB's are due

1.

Friday, 5/3

b)

Units being graded on INB

2.

Units 11 & 12

c)

Foldables none of you have because we are doing them after the eoc

3.

Unit Rate & What is a Radian?

d)

ALL WORK (LATE & EXTRA CREDIT) DUE BY...NO EXCEPTIONS!!!

4.

WEDNESDAY, 5/8 BY 2 PM

e)

Thur. 5/2 from 2-3:30

Mon. 5/6 from 2-3:00

Tues. 5/7 from 2-3:00

Wed. 5/8 from 2-3:00

lunch everyday

6th period elective

before school 6:45 everyday

5.

Tutoring Days & Times

30.

Match the following

a)

pentagon

1.

5 sides

b)

REGULAR POLYGON

2.

ALL SIDES & ANGLES ARE EQUAL

c)

decagon

3.

10 sides

d)

dodecagon

4.

12 sides

e)

nonagon

5.

9 sides

31.

Match the following

a)

slopes of parallel lines are

1.

equal

b)

slopes of perpendicular lines are

2.

opposite reciprocal slopes

c)

parallel lines...

3.

are coplanar & never touch

d)

perpendicular lines...

4.

meet at right angles

e)

skew lines...

5.

not coplanar, never touch, not parallel

32.

Match the following points of concurrency

a)

Perpendicular Bisectors meet here

1.

Circumcenter

b)

Angle Bisectors meet here

2.

Incenter

c)

Medians meet here

3.

Centroid

d)

Altitudes meet here

4.

Orthocenter

33.

Organize these options into the right categories

Categorize the following

where perpendicular bisectors meet

equidistant to all 3 vertices

center of a circumscribed circle

where angle bisectors meet

equidistant to all 3 sides of a triangle

center of an inscribed circle

always inside every triangle like the centroid

inside acute triangles, on the midpoint of the hypotenuse of a right triangle, outside an obtuse

where medians meet

breaks up the median into a 2:1 ratio from vertex to side

where altitudes meet

inside acute triangles, on the right angle of rt triangles, outside on obtuse triangles

always inside all triangles like the incenter

Circumcenter
Incenter
Centroid
Orthocenter
34.

Match the special triangle segments

35.

Solve for x

36.

Organize these options into the right categories

Categorize the following

tan = O/A

sin = O/H

cos = A/H

used when you need to find 3rd side of right triangle given 2 sides

circle equation derived from this

distance formula derived by this

used when you know an angle and a side & need exact answer for another side

used when you know 2 sides and need to find angle

tan = sin/cos

Equilateral

Scalene

isosceles

special right triangles
Trigonometric Ratios
Pythagorean Theorem
Special types of triangles
37.

Match the following Trig Problems with how to solve

a)

1.

sin A = 8/13

b)

2.

cos 53 = 45/k

c)

3.

tan 53 = x/22

d)

4.

x^2 + 144 = 256

e)

5.

f = 20/2

g = f (root 3)

38.

Label the missing parts of the triangle

39.

Label the missing parts of the triangle

40.

Match the following formulas

a)

sum of interior angles of a polygon

1.

(n-2)180

b)

one interior angle of a regular polygon

2.

(n-2)180/n

c)

sum of exterior angles of a polygon

3.

360

d)

one exterior angle of a regular polygon

4.

360/n

e)

sum of one interior & one exterior angle

5.

180