Ma

tchi

ng

Match each term with the corresponding diagram and name. 1. Ray ____ ____ 2. Segment ____ ____

3. Opposite rays ____ ____

4. Point ____ ____

5. Line ____ ____

6. Plane ____ ____

A. AB

B. ABC

C. AB

D. AB

E. AB and AC

F. A

I. II. III.

IV. V. VI.

A

A

B

A B C A

B

A C

B

B

A

© Heather Werner, 2016

1.1 Practice

7. Name ES in another way.

8. How many different segments can be named?

9. Name TS in two other ways.

10. Name a pair of opposite rays with E as an endpoint.

11. Are ET and TE the same segment?

12 Name two rays that are opposite to ST.

B E

S T

13. Name a point that is collinear with points E and H.

14. Name a point that is collinear with points B and I.

15. Name a point that is coplanar with points D, A, and B.

16. Name a point that is coplanar with points C, G, and F.

17. Name a point that is not collinear with points B and I.

A

B C

D

E

F G

H

I

J

18. Name AB in another way.

19. Give two other names for plane Q.

20. Name there points that are collinear.

21. Name a pair of opposite rays.

22. Name 3 figures that lie on plane Q.

23. What is EBD not an acceptable name for plane Q?

Q

F

A

B C

D

E

24. Name all of the points on plane P.

25. Name all of the points on plane Q.

26. Name plane P in another way.

27. Name plane Q in another way.

28. Is AB an acceptable name for plane P?

C

D

B

A

E

P

Q

Name: __________________________________________________________ Period: _________ Due Date: _______ Unit 1 Class work Deadline date: ______

© Heather Werner, 2016

C

D

1.2 Practice Find the value of each of the following if QT = 48.

1. x = _____

2. QP = _____

3. PT = _____

Find the value of each of the following if AB = 27, AP = 2y + 1, and PB = y - 1 (with P on the interior of AB).

4. y = _____

5. AP = _____

6. PB = _____

Plot the points in the coordinate plane and determine whether AB and CD are congruent.

7. A(-4, 5), B(-4, 8), C(2, -3), D(2, 0)

8. A(6, -1), B(1, -1), C(2, -3), D(5, -3)

3x x+16 Q T P

Copy each segment.

9. 10.

A B

11. In your own words, describe the Segment Addition Postulate.

© Heather Werner, 2016

-3x+12 4x+33 Q T M

1.3 Practice Point M is a midpoint on QT. Find the value of x and the length of QT.

1. 2.

7x+15 9x-23 Q T M

Find the distance between the points. Simplify radicals AND round to the nearest hundredth when necessary.

3. L(-4, 11), M(-3, 4)

4. N(1, 0), P(3, 8)

Find the coordinate of the midpoint of each segment.

5. A(6, 7), B(4, 3)

6. C(-1, 5), D(2, -3)

The midpoint (M) and a endpoint (A) is given for segment AB, find the coordinate of the other endpoint (B).

7. M(1, 2) and A(-3, 6)

8. M(4, 11) and A(0, 12)

Bisect each segment.

9.

10.

© Heather Werner, 2016

1.4 Practice Find the point P that partitions each segment.

1. M(-4, 7) and N(12, -1) with a ratio of 1:7 2. C(-3, 8) and D(1, -5) with a ratio of 2 to 3

3. R(–3, 3) and S(6, –3) with a ratio of 2:1

Find point B of segment AB given the partition point P.

4. A(7, 5) and P(10, 14) with a ratio of 1:4

5. A(-16, 2) and P(-15, -20) with a ratio of 1:3

Find the ratio of AP to PB.

6. A(1, 7), B(6, 17), and P(3, 11)

7. A(-5, 3), B(5, 8), and P(1, 6)

© Heather Werner, 2016

1.5 Practice Find the perimeter. Round to the hundredth place. Show your work on separate paper.

1. A(0, 0), B(-3, 3), and C(3, 3)

2. B(-2, -2), I(4, -2), K(2, 3), E(-4, 3)

Find the area of each figure.

3. (-6, 3), (0, 0), (5, 3), and (0, 5) 4. (-1, 1), (-2, 9), (-9, 1) 4. (1, 2), (6, 4), and (7, 0)

6. (-5, -4), (-8, -8), (5, -8), (0, -4) 7. (-4, -2), (-1, 2), (3, 3), (5, -5) 8. (-7, -2), (-3, 5), (4, 3), (6, -4), (-5, -7)

A

C B

B I

K E

© Heather Werner, 2016

Find the vale of x and the angle measure. (The diagram is not to scale).

3. ∠AOB = x + 3, ∠AOC = 2x + 11, ∠BOC = 4x – 7

4. Q is in the interior of ∠POQ and m∠POQ = (x + 4)°, m∠QOR = (2x - 2)°, m∠POR = 26°.

BT bisects ∠ABC. Find the value of x and ∠ABC.

5.

6.

Perform each construction.

7. Copy the angle

8. Bisect the angle

1. Write four names for the angle. 2. Name three different angles.

C

A T

B

A M

B

7

D

O A

C

B

1.6 Practice

A

B C

T

(5x-17)º

(3x+14)º

A

C T (-2x+39)º

B

© Heather Werner, 2016

(6y-10)º (6y+10)º

Find the measure of each angle.

6. ∠EBF

7. ∠EBA

8. ∠DBE

9. ∠DBC

10. ∠ABF

11. ∠DBF

Name an angle or angles described by each of the following.

1. Complementary to ∠BOC

2. Supplementary to ∠BOC

3. Vertical to ∠EOD

4. Congruent to ∠AOD

5. Adjacent and congruent to ∠AOC

Find the value of the variable.

12. 13. 14.

A B

C

D E

O

A

E

F

C B

D

73º 39º

1.7 Practice

(7x+3)º 65º (4x+1)º

32º

(9x+4)º

© Heather Werner, 2016

Practice Quiz #1: Summer Homework

Practice Quiz #2: 1.1 – 1.2

Solve each equation.

1. 3(-2x + 7) – 18 = 7x - 20

2. x – 4 = 5 6 7

Evaluate.

3. If a = 3, b = -2, and c = 5 find a( b – c) + ac

4. 9/4 + 3 1/3 5. 5 2/5 ∙ -3 3/6 6. 27/5 ÷ 2 ½

Simplify.

7. √540

8. √175

Use the diagram to name each of the following.

1. Two other names for AB

2. 3 collinear points

3. A pair of opposite rays

4. 2 different segments

B R E A D

T

G

Find the value of the variable.

5.

6.

F H G 13 x

43 E C D

2x - 19 x + 3

23

Plot the points in the coordinate plane and determine whether AB and CD are congruent.

7. A(2, 6), B(5, 6) C(-3, 1), D(-3, -2)

© Heather Werner, 2016

Practice Quiz #3: 1.3-1.4 Find each of the following with the given points A(4, -8) and B(2, 6).

1. Find the distance between the two points 2. Find the midpoint of the two points

M is a midpoint of QT. Find the value of x and the length of QT.

3.

3x - 6 -4x +15 Q T M

Find the point P that partitions the segment AB with the given ratio.

4. A(-3, 5) and B(7, 2) with a ratio of 1 to 4.

Find point B of segment AB given A and the midpoint M.

5. A(-3, 6) and M(1, -1)

© Heather Werner, 2016

Practice Quiz #4: 1.5-1.6 Find the value of the variable.

1. m∠QST = 135°, m∠QSR = (3x+1)°, m∠RST = (2x-6)° ( R is in the interior of ∠QST)

2. 4. BT is an angle bisector

Find the area.

5. (-2, 1), (2, 4), (4, 1) 6. (-3, 1), (1, 3), (3, -2)

A

B C

T (-3x+16)º

(2x-24)º

Perform each construction.

3. Copy the angle

4. Bisect the angle

© Heather Werner, 2016

Unit 1 Practice Test

Find the value of the variable. Pictures are not to scale. [5 points each]

9. 10. 11.

12.

13. ∠COA = 86º 14. M is a midpoint of QT 15. BT is an angle bisector 16.

(2x)º

(4x)º

(3x + 30)º (2x + 20)º

(7y - 5)º (x + 90)º

(4x)º (2x)º (5x + 5)º

Choose the correct term to complete each sentence. [2 points each]

1. A ray that divides an angle into two congruent angles is a(n) __________________________. 2. _________________________________________ are two angles with measures that have a sum of 90º. 3. Figures that are in the same plane are _________________________. 4. A(n) __________________ is the part of a line consisting of two endpoints and all points between them. 5. Two segments with the same length are _________________________. 6. A(n) __________________ of a segment is a point that divides the segment into two congruent segments. 7. A(n) _________________________________ is a ray that divides an angle into two congruent angles. 8. A(n) _________________________ is an angle whose measure is between 90º and 180º.

A

B

C

D E

F

Q

l

m

Use the diagram to answer each question. [2 points each or 1 point per answer for questions with multiple answers]

17. What are two other ways to name AB?

18. What are two ways to name plane Q?

19. What are the names of three collinear points?

20. What are the names of four coplanar points?

21. Name a pair of opposite rays.

22. Name 3 segments.

O A

C

B (2x+19)º

(x+7)º

A C

T

26º

B

5x - 7 14 - 2x Q T M E C D 3 5x - 2

3(x + 3)

© Heather Werner, 2016

Unit 1 Practice Test Page 2 Perform each construction. [5 points each]

23. Bisect the segment AB 24. Bisect ∠ABC

25. Copy segment AB 26. Copy ∠ABC

A B

A

B C

A

B C

[5 points each]

27. Find the distance of the points A(-6, -4) and B(3, 4)

28. Find the midpoint of A(-6, -4) and B(3, 4)

29. The midpoint of AB is (1, 2) and the coordinates of A are (-3, 6). Find the coordinates of B.

30. Find point P if AB is partitioned into a ratio of 3 to 1 with A(-3, 5) and B(7, 1).

31. Find the area. P(-5, 1), I(1, 3), E(2, -1) 32. Find the area. B(-3, 1), A(-1, 5), K(7, 5), E(8, 1)

P

I

E E

A K

B

A B