Name: __________________________________________________________ Period: _________
Unit 1 Class work
Due Date: _______
Deadline date: ______
Matching
1.1 Practice
Match each term with the corresponding diagram and name.
1. Ray ____ ____
A. AB
I.
A
2. Segment ____ ____
B. ABC
3. Opposite rays ____ ____
C.
AB
4. Point ____ ____
D.
AB
5. Line ____ ____
E.
AB and AC
6. Plane ____ ____
F.
A
IV.
II.
V.
A
B
C
A
VI. B
C
A
B
B
III.
A
B
A
7. Name ES in another way.
8. How many different segments can be named?
9. Name TS in two other ways.
B
T
S
E
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.
13. Name a point that is collinear with points E and H.
I
B
14. Name a point that is collinear with points B and I.
C
A
D
15. Name a point that is coplanar with points D, A, and B.
F
16. Name a point that is coplanar with points C, G, and F.
G
E
17. Name a point that is not collinear with points B and I.
H
J
18. Name AB in another way.
19. Give two other names for plane Q.
A
20. Name there points that are collinear.
D
B
E
21. Name a pair of opposite rays.
Q
C
F
22. Name 3 figures that lie on plane Q.
23. What is EBD not an acceptable name for plane Q?
24. Name all of the points on plane P.
D
25. Name all of the points on plane Q.
A
26. Name plane P in another way.
27. Name plane Q in another way.
28. Is AB an acceptable name for plane P?
P
B
C
E
Q
© Heather Werner, 2016
1.2 Practice
Find the value of each of the following if QT = 48.
Q 3x P
1. x = _____
x+16
T
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 = _____
2. QP = _____
5. AP = _____
3. PT = _____
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)
Copy each segment.
9.
10.
A
D
B
C
11. In your own words, describe the Segment Addition Postulate.
© Heather Werner, 2016
1.3 Practice
Point M is a midpoint on QT. Find the value of x and the length of QT.
1.
Q 7x+15 M 9x-23 T
2.
Q -3x+12 M 4x+33 T
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
3. R(–3, 3) and S(6, –3) with a ratio of
to 3
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)
B
C
2. B(-2, -2), I(4, -2), K(2, 3), E(-4, 3)
E
A
K
B
I
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)
© Heather Werner, 2016
1.6 Practice
1. Write four names for the angle.
2. Name three different angles.
C
B
B
A
7
A
M
T
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
D
4. Q is in the interior of ∠POQ and m∠POQ = (x + 4)°, m∠QOR
= (2x - 2)°, m∠POR = 26°.
C
B
O
A
BT bisects ∠ABC. Find the value of x and ∠ABC.
5.
6.
T
(5x-17)º
(3x+14)º
B
A
C
(-2x+39)º
A
C
T
B
Perform each construction.
7. Copy the angle
8. Bisect the angle
© Heather Werner, 2016
1.7 Practice
Name an angle or angles described by each of the following.
1.
D
Complementary to ∠BOC
E
2. Supplementary to ∠BOC
O
3. Vertical to ∠EOD
4. Congruent to ∠AOD
C
B
A
5. Adjacent and congruent to ∠AOC
Find the measure of each angle.
6. ∠EBF
9. ∠DBC
D E
7. ∠EBA
F
10. ∠ABF
73º
8. ∠DBE
A
11. ∠DBF
39º
B
C
Find the value of the variable.
12.
13.
14.
32º
(6y-10)º (6y+10)º
(9x+4)º
(7x+3)º
(4x+1)º 65º
© Heather Werner, 2016
Practice Quiz #1: Summer Homework
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
Practice Quiz #2: 1.1 – 1.2
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
T
R
E
A
D
G
Find the value of the variable.
5.
13
x
G
H
43
F
6.
x+3
2x - 19
C
D
E
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.
Q 3x - 6 M -4x +15 T
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
A
T
(-3x+16)º
B
(2x-24)º
C
Perform each construction.
3. Copy the angle
4. Bisect the angle
Find the area.
5. (-2, 1), (2, 4), (4, 1)
6. (-3, 1), (1, 3), (3, -2)
© Heather Werner, 2016
Unit 1 Practice Test
Choose the correct term to complete each sentence. [2 points each]
1.
2.
3.
4.
5.
6.
7.
8.
A ray that divides an angle into two congruent angles is a(n) __________________________.
_________________________________________ are two angles with measures that have a sum of 90º.
Figures that are in the same plane are _________________________.
A(n) __________________ is the part of a line consisting of two endpoints and all points between them.
Two segments with the same length are _________________________.
A(n) __________________ of a segment is a point that divides the segment into two congruent segments.
A(n) _________________________________ is a ray that divides an angle into two congruent angles.
A(n) _________________________ is an angle whose measure is between 90º and 180º.
Find the value of the variable. Pictures are not to scale. [5 points each]
9.
10.
(x + 90)º
(4x)º
(2x)º (5x + 5)º
13. ∠COA = 86º
11.
14. M is a midpoint of QT
C
T
A
26º
O
15. BT is an angle bisector
A
(2x+19)º
(x+7)º
(3x + 30)º (2x + 20)º
(7y - 5)º
(4x)º
Q 5x - 7 M 14 - 2x T
B
12.
(2x)º
C
16.
5x - 2
3
C
E
D
3(x + 3)
B
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?
B
18. What are two ways to name plane Q?
C
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.
l
E
Q
A D
m
F
© Heather Werner, 2016
Unit 1 Practice Test Page 2
Perform each construction. [5 points each]
24. Bisect ∠ABC
23. Bisect the segment AB
A
A
B
B
C
26. Copy ∠ABC
25. Copy segment AB
A
B
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)
31. Find the area. P(-5, 1), I(1, 3), E(2, -1)
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).
32. Find the area. B(-3, 1), A(-1, 5), K(7, 5), E(8, 1)
A
I
K
P
E
B
E
© Heather Werner, 2016