Free Printable Geometry Honors Fall Final Review

1.

True or False: line AB and plane P are coplanar

a)

True

b)

False

2.

What is another name for plane Q?

a)

plane EFG

b)

plane GIQ

c)

plane IFG

d)

Plane EG

3.

True or False: line AB and line XY are coplanar

a)

TRUE

b)

FALSE

4.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

5.

a)

8

b)

12

c)

-4

d)

-8

6.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

7.

Choose the best option to fill in the blank:

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Substitution Property of Equality

d)

Complementary Angles are Congruent

8.

Which option best fills in the blank in the proof?

a)

Substitution Property

b)

Definition of Linear Pair

c)

Definition of Supplementary Angles

d)

Angle Addition Postulate

9.

Which of the following Reasons are in the correct order?

a)

Given; Definition of congruence; Transitive Property; Definition of midpoint

b)

Given; Definition of midpoint; Transitive Property; Definition of congruence

c)

Given; Transitive Property; Definition of midpoint; Definition of congruence

10.

Which is correct to fill in Reason 4 ?

a)

Substitution Property of Equality

b)

Definition of bisect

c)

Definition of midpoint

d)

Segment Addition Postulate

11.

What Reason is correct to fill in Reason 5 ?

a)

Congruent Complements Theorem

b)

Congruent Supplements Theorem

c)

Definition of Complementary

d)

Definition of Congruence

12.

Which fills in Reason 5 ?

a)

Linear Pair Theorem

b)

Vertical Angle Theorem

c)

Definition of Angle Bisector

d)

Symmetric Property of Congruence

13.

Which property, definition, postulate, or theorem justifies the following statement?

If K is between J and L, then $JK\ +\ KL\ =JL$ .

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Complement Theorem

d)

Addition Property of Equality

14.

Which property, definition, postulate, or theorem justifies the following statement?

If $\overline{FG}\cong\overline{GH}$ , then $FG=GH$ .

a)

Definition of Congruence

b)

Definition of Midpoint

c)

Midpoint Congruence Theorem

d)

Symmetric Property of Congruence

15.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle R$ is supplementary to $\angle S$ and $\angle R$ is supplementary to $\angle T$ , then $\angle S\cong\angle T$ .

a)

Congruent Supplements Theorem

b)

Supplements Theorem

c)

Definition of Supplementary Angles

d)

Transitive Property of Congruence

16.

Which property, definition, postulate, or theorem justifies the following statement?

If $\angle GHI$ is a right angle, then $\angle GHJ$ and $\angle JHI$ are complementary.

a)

Definition of Complementary Angles

b)

Angle Addition Postulate

c)

Congruent Complements Theorem

d)

Complement Theorem

17.

If the lines are parallel and cut by a transversal, then which angles are congruent to $\angle7\ ?$ Select all that apply

a)

$\angle5$

b)

$\angle6$

c)

$\angle3$

d)

$\angle2$

e)

$\angle8$

18.

What is the name of the angle relationship between ∠1 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

19.

What is the name of the angle relationship between ∠6 and ∠4?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

20.

Find the value of x if the $m\angle1\ =\ 12x+19\degree$ and the $m\angle2\ =\ 22x-9\degree$ .

a)

-2.8

b)

2.8

c)

-5

d)

5

21.

If a||b||c, m∠1 = 101⁰ and m∠23 = 98⁰. Find the m∠11.

a)

79⁰

b)

82⁰

c)

98⁰

d)

101⁰

22.

Consider the figure, l₁ and l₂ are parallel and cut by transversal t₁ and t₂. What is the relationship between ∠4 and ∠6.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

d)

Consecutive interior Angles

23.

Consider the figure, l₁ and l₂ are parallel and cut by transversal t₁ and t₂. What is the relationship between ∠7 and ∠10.

a)

Linear Pairs

b)

Parallel

c)

Vertical Angles

d)

None

24.

If ∠1 ≅ ∠3, then ________.

a)

line c is parallel to line d

b)

line a is parallel to line b

c)

Cannot determine 2 lines to be parallel.

d)

line c is parallel to line a

e)

line b is parallel to line d

25.

If ∠9 ≅ ∠12, then ________.

a)

line a is parallel to line b

b)

line d is parallel to line c

c)

none of the lines can be determined to be parallel.

d)

line a is parallel to line d

e)

line c is parallel to line b

26.

If ∠1 ≅ ∠8, which of the following can be used to prove lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above can be used

27.

The last statement is <4 = <6. What is the last reason

a)

Prove

b)

Definition of congruent angles

c)

Transitive Property

d)

Alternate Interior Angles Theorem

28.

Why is ∠KJM ≌∠LMJ?

a)

Alternate Exterior angles are congruent

b)

Alternate Interior Angles are congruent

c)

Corresponding Angles are Congruent

d)

Consecutive Interior angles are supplementary

29.

Classify the triangle by angles and sides.

a)

Obtuse Scalene

b)

Obtuse Isosceles

c)

Right Scalene

d)

Acute Isosceles

30.

Classify triangle by angle and side.

a)

Obtuse - Isosceles

b)

Acute - Isosceles

c)

Right - Equilateral

d)

Acute - Equilateral

31.

Find the m<T.

4 lines

32.

What is the value of x?

4 lines

33.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by AAS

c)

Yes, by ASA

d)

Yes, they look congruent.

e)

No they are not congruent

34.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSA

c)

Yes, by AAS

d)

Yes, they look congruent

e)

No, they are not congruent

35.

What additional information is needed to show these triangles are congruent by AAS?

a)

<L ≅ < T

b)

<K ≅ <U

c)

MK ≅ SU

d)

<L ≅ <U

36.

Which of these is a valid congruency statement for these 2 triangles?

a)

∆PTW ≅ ∆HGD

b)

∆PWT ≅ ∆GDH

c)

∠G ≅ ∠P

d)

∠D ≅ ∠H

37.

What is the length of segment BM?

a)

8m

b)

15m

c)

11m

d)

32°

38.

What is the measure of angle X?

a)

112°

b)

132°

c)

122°

d)

29°

39.

What is the conclusion?

a)

∠1 ≅ ∠4.

b)

∠2 ≅ ∠3.

c)

∠1 ≅ ∠4 AND ∠2 ≅ ∠3.

d)

Segment AB is congruent to Segment CD.

40.

Which additional information will prove the triangles congruent by HL?

a)

GH≅SR

b)

FG≅RT

c)

FH≅ST

d)

GH≅ST

41.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

42.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

43.

What is #5 Statement?

a)

∠QPR ≌ ∠STR

b)

∠PQR ≌ ∠STR

c)

∠QRP ≌ ∠TSR

d)

∠QRP ≌ ∠TRS

44.

What is #4 Statement?

a)

∠ABC ≌ ∠DCE

b)

∠BCA ≌ ∠CED

c)

∠CAB ≌ ∠EDC

d)

None of the following

45.

What is the correct choice for Reason 5?

a)

SAS

b)

Definition of Congruence

c)

Prove

d)

CPCTC

46.

What is the correct choice for Statement 4?

a)

⊿GHI ≅ ⊿JKL

b)

⊿GHI ≅ ⊿KLJ

c)

⊿GHI ≅ ⊿LJK

d)

⊿GHI ≅ ⊿LKJ

47.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

48.

The figure is an example of a(n) ...

a)

angle bisector

b)

altitude

c)

altitude

d)

median

49.

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

50.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

51.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

52.

Point O is the circumcenter of the triangle. Find OB

a)

OB = 4

b)

OB = 6

c)

OB = 5.1

d)

Not enough information

53.

Write the equation of the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)

a)

y = -5/6x + 7/2

b)

y = 6/5x + 9/2

c)

y = 6/5x + 7/2

d)

y = 6/5x + 4

54.

UV is a midsegment of triangle FGH. What is the length of segment UV?

a)

12

b)

10

c)

5

d)

-12

55.

If DL = 24, then DG =

a)

16

b)

8

c)

12

d)

36

56.

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

a)

8

b)

16

c)

24

d)

Not Enough Information

57.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

58.

P is the incenter. Which segment lengths are equal?

a)

KP

b)

MP

c)

PN

d)

PJ

e)

PL

59.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

60.

Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)

a)

y = -7/2x + 4

b)

y = -4x - 7/2

c)

y = 4x - 7/2

d)

y = 7/2x + 4

61.

The two lines 4x - 6y = 11 and 3x + 2y = 9 are...

a)

Parallel

b)

Perpendicular

c)

Neither

62.

Order the sides from longest to shortest.

a)

WX, XV, WV

b)

WX, WV, XV

c)

WV, XW, XV

d)

WV, XV, WX

63.

State if the three numbers can be the measures of the sides of a triangle: 8, 19, 11

a)

no

b)

yes

c)

not enough information

64.

If two sides of a triangle have lengths of 8 in and 12 in, what are the possible lengths for the third side?

a)

6<x<14

b)

8<x<12

c)

4<x<20

d)

-4<x<10

65.

Only Write the Symbol: $AR$ (a) $BR$

66.

Compare $m\angle BAC\ and\ m\angle EDF$

a)

$m\angle BAC>m\angle EDF$

b)

$m\angle BAC\ <m\angle EDF$

c)

$\angle BAC>\angle EDF$

d)

$m\angle ABC\cong m\angle EFD$

Geometry Honors Fall Final Review

Total questions: 66

Worksheet time: 1hrs 3mins

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