BC

FE

A

D

R

Q

S T

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 1

Multiple Choice

Refer to the figure below for questions 1 and 2.

1. Points E,G. and FA. determine a planeB. are collinearC. are contained in only plane JKHD. are noncoplanar points

2. The line that contains F and KA. intersects plane EGI but not plane JKHB. intersects plane JKH but not plane EGIC. does not intersect either planeD. intersects both planes

3. What is the measure of if D is between A and B, AD=7 and DB=12.A. 12 B. 5 C. 19 D. 10

4. If and form a linear pair and is acute, then is

a. acute b. obtuse c. right

5. If bisects and , find .

a. b. c. d.

6. The endpoints of are and

. Find the midpoint of .

A. C.

B. D.

7. has a length of 4.5 units. If has

endpoints and , how much

longer than is ?

A. 0.5 units C. 2 unitsB. 2.5 units D. is longer

8. Name the acute angles in the given figure.

A. and B. and C. and D. and

9. If the measure of is , find the

measure of .

A. B. C. D.

10. is greater than . If and are supplementary, find and .

A.

B.

C.

D.

Geometry Honors 1

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 1

Open Ended

Use the diagram to decide whether the given statement is true or false.

1. Points H, I, and J are coplanar.

2. and are opposite rays.

3. All points on and are coplanar.

4. The intersection of and plane JKH is

5. The intersection of , and is point G

6. The intersection of plane EGH and plane JGI is point G..

7. a. Find the distance between

and .

b. Find the midpoint of and

.

8. If , find the value of x.

9. A segment with an endpoint at N(9,3) has its midpoint at M(7,4). Find the coordinates of the other endpoint.

Answers

1. _________________

2. _________________

3. ________________

4. ________________

5. ________________

6. ________________

7. a.________________

b.________________

8. ________________

9. ________________

10. ________________

11. ________________

10 The measure of an angle is half the measure of its supplement. Find the measure of the angle.

11,Find the value of y in the drawing below.

Geometry Honors 2

EG FGGI GF

EF HI.HI JG EF

( 25)x 30

A

B C

D

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 2

Multiple Choice

1. If 3 points lie in a plane, what must be true about the three points?A. They must be collinear.B. None of the points lie in any other plane.C. None of the points lie on the same line.D. None of these.

2. What is the converse of the given statement?GIVEN: If , then is a right angle.A. If , then is not a right

angle.B. If , then is not a right

angle.C. If is not a right angle, then

.D. If is a right angle, then

.

3. Which statement’s inverse is true?A. If two lines intersect to form a right

angle, then they are perpendicular lines.B. If is less than , then is

acute.C. If point K is the midpoint of , then

points J, K and L are collinear.D. If two rays are opposite rays, then they

have a common endpoint.

4. If all sides of a polygon are congruent, then the polygon is equilateral. All sides of polygon A are 5 inches. Using the Law of Detachment, which conclusion can be made?A. Polygon A is congruent.B. Polygon A is equilateral.C. All polygon sides are 5 inches.D. All polygons are equilateral.

5. If point B bisects , then .

If point B is the midpoint of , then

point B bisects . Using the Law of Syllogism, which conclusion can be drawn?A. If point B is the midpoint of ,

then .

B. If , then point B bisects

.

C. If , then point B is the

midpoint of .D. Points A, B and C are collinear.

6. Identify the property of equality that justifies the statement If AB=CD, then CD=AB.a. Transitive b. Substitutionc. Symmetric d. Reflexive

7. The Reflexive Property of Equality states For every number a, ___________.a. a = b b. a = a c. a = 0 d. b = a

Geometry Honors 3

134

6

2

57

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 2

Open Ended

1. The Law of Detachment states that if is true, then

_____________ is true.

2. The Law of Syllogism states that if and are true, then

_________________ is true.

In exercises 3-8, complete each statement given that

3. If , then .4. If , then ________.5. If , then _________.6. If , then = ________.7. If , then =__________.8. If , then = _________.

Determine if a valid conclusion can be reached from the two true statements. If it can, state it and the law of logic that is used. If a valid conclusion does not follow, write no conclusion.

9. (1) If you can drive a car, then you have a driver’s licesnse. (2) Fran can drive a car.

10. (1) If , then .

(2) If , then .

11. (1) All vertical angles are congruent. (2) and are congruent.

Answers

1. _________________

2._________________

3. ________________

4. ________________

5. ________________

6. ________________

7. ________________

8. ________________

9. ________________

10. ________________

11. ________________

Geometry Honors 4

AB

C

DE

F

H

G

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 3

Multiple ChoiceUse the drawing below for numbers 1-4.

1. Identify the special angle pair name for and .

A. verticalB. alternate interiorC. correspondingD. consecutive exterior

2. Given and find .

A. B. C. D.

3. Given and and find the value of .

A. 9 B. 42 C. 5 D. 36

4. Given and , find the value of x

so that . A. B. C. D.

5. Describe the slope of a line through and B(4,-3).

A. positive C. zeroB. negative D. undefined

6. Write an equation of the line with slope 2 and y-intercept 5.

A. C. B. D.

C.7. Based on the diagram, which theorem

would you use to support the statement ?

A. Alternate interior angles theoremB. Alternate exterior angles theoremC. Consecutive interior angles theoremD. Parallel lines theorem

8. Find the value of and .

A. C. B. D.

9.

Find the value of x.A. 36 B. 45C. 60 D. 72

10. Find the slope of a line through and

A. 2 C.

B. –2 D.

Open Ended

A

B

DE

1 23 45 67 8

9 10

11

12

13

14

15

16

12

3 45

6

8 7910

111213

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 3

Complete each of the following with or no parallel

lines.

1. If , then _______________.

2. If , then _______________.

3. If , then ______________.

4. If is supplementary to , then ______________.

5. If and , then ____________.

6. If , then ___________.

7. Find the value of so that .

a.

b.

Answers

1. _________________

2. ________________

3. ________________

4. ________________

5. ________________

6. ________________

7. a.________________

b.________________

A B C

1 23

7

8 6

4 5

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 3

What 2 lines if any are parallel if the given information is true (if none, write no lines parallel)?

1.

2.

3.

4.

5.

6.

7.

8. and are supplementary

9. and are supplementary

10. and are complementary and .

11. Tell whether a line whose slope is 0 is horizontal, vertical, or neither.

12. Write an equation in slope intercept form of the line parallel to the line passing through the given points.

a. G(-8,2), H(-3,12)b. J(3,2), K(-1,-1)c. M(-5,1), N(0,-7)

13. Write an equation of the line in standard form of the line perpendicular to the line passing through the given points.

a. P(6,1), Q(8,0)b. R(3,-3), S(-1,5)

Answers

1. _________________

2. ________________

3. ________________

4. ________________

5. ________________

6. ________________

7. ________________

8. ________________

9. ________________

10. ________________

11. ________________

12. a.________________

b.________________

c.________________

13. a. ________________

b.________________

c. ________________

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 4

Multiple Choice

In exercises 1-3 use the following drawing.

1. What is the value of ?A. 3 D.6B. 4 E. 7C. 5

2. What is the measure of the largest angle?A. D. B. E. C.

3. What is the best classification for the triangle?A. Right D. EquilateralB. Acute E. EquiangularC. Obtuse

4. Which congruence statement is correct for the triangles shown?

A. B. C. D. E.

5. The sum of the measures of the interior angles of a triangle is _________.A. C. B. D.

6. Given , use the Hypotenuse-Leg Congruence Theorem to find .

A. 30 C. 60B. 45 D. 90

7. If is isosceles and , which statement must be true?

a. b. c. d.

8. In , the measure of each angle is 60 , and . Find the length of . a. 4 b. 5 c. 15 d. 16

9. Given , , and , find the

value of x.a. 28 b. 13 c. 9 d. 7

10. Given , , and ,

find the value of x.a. 7 b. 14 c. 27 d. 84

11. Which of the following is not a postulate used to prove the congruence of triangles?

A. SSS B. AAS C. ASA D. AAA

D

E F

W

X

Y

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 4

12. In , what angle is opposite ?

a. b. c. d.

13. In isosceles triangle , is the vertex angle. If and

, find the measure of .

A. 6 B. 12 C. 44 D. 92

14.Classify the triangle ABC with vertices A(-2,-1), B(6,1) and C(3,4).

A. right B. obtuse C. acuteD. equiangular

15. The measure of a base angle of an isosceles triangle is 25 . What is the measure of the vertex angle?

A. 25 B. 50 C. 110 D. 130

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 4

Open EndedAnswers

1. _________________

2. _________________

3. ________________

4. ________________

5. ________________

6. ________________

7. ________________

8. ________________

9. ________________

10. ________________

11. ________________

12. ________________

13. ________________

14. ________________

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 4

Proofs

1. GIVEN: B is the midpoint of .B is the midpoint of .

PROVE: ABD EBC

2. GIVEN: ; ,

PROVE: ABC DCB

3. GIVEN: O is the midpoint of ;

PROVE:

4. GIVEN: ;

PROVE:

5. GIVEN: ,

PROVE: AB

N M

Q P

O

Z

V

Y

U

WX

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 6

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 6

5.

6.

Answers

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 6

1. _________________

2. _________________

3. ________________

4. ________________

5. ________________

6. ________________

7. ________________

8. ________________

9. ________________

10. ________________

11. ________________

12. ________________

In and .

19. Name a median of .20. Name an altitude of .21. Name an angle bisector of .22. If is a median, and

find

A

BC R

QP

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 6

Answers

13. _________________

14. _________________

15. ________________

16. ________________

17. ________________

18. ________________

19. ________________

20. ________________

21. ________________

22. ________________

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 6

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 6

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 6

1. _________________

2. ________________

3. ________________

4. ________________

5. ________________

6. ________________

7. ________________

8. ________________

9. ________________

10. ________________

11. ________________

12. ________________

13. ________________

14. ________________

Name _____________________ Date _______________

Geometry Honors Midterm ReviewChapter 6

15.

21. A tree casts a shadow of 48 feet. Nancy, who id 5 feet tall, casts a shadow of 9 feet. About how tall is the tree?

22. On a map of the Unites Sates inches

represents 810 miles. If it is approximately

inches from Miami to Dallas on the map, what is the actual distance in miles?

15. ________________

16. ________________

17. ________________

18. ________________

19. ________________

20. ________________

21. ________________

22. _________________