Directions: Solve each system of equations by graphing.
Type the solution in coordinate form - (x,y)
(Do not use spaces when you enter the coordinates)
Solving Systems of Equations Using Elimination or Substitution
Required
40
Question 2
2.
Directions: Solve each system by substitution.
Be sure to write your solution in coordinate form (x,y)
Required
40
Required
40
Translations
Required
40
Question 5
5.
Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
A'_______
B'_______
C'_______
Protip: Transform the points first then graph them.
Reflections
Required
40
Question 6
6.
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
Protip: Transform the points first then graph them.
F'_______
G'_______
H'_______
Required
40
Required
40
Rotations
Required
40
Question 9
9.
Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)
Protip: Transform the points first then graph them.
M'_______
N'_______
P'_______
Required
40
Required
40
Sequence of Transformations
30
Question 12
12.
Triangle ABC with vertices A(-3, 7), B(-2, 1), and C(-5, 2):
a) reflection in the x-axis
A'_______
B'_______
C'_______
b) translation along the rule (x, y) → (x + 9, y + 2)
Angles Formed from Parallel Lines Cut by a Transversal
Required
6
Required
6
Required
10
Required
10
Required
10
Required
15
Triangle Basics
Required
10
Question 24
24.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______
Required
10
Required
15
CPCTC
Required
40
Question 27
27.
Given △GHJ≅△XYZ, find each missing measure.
GJ=_______
XY=_______
ZY=_______
m∠H=_______
m∠Z=_______
m∠J=_______
△HJG≅△_______
△ZXY≅△_______
Required
30
Required
30
Proving and Using Congruent Triangles
Required
20
Required
20
Required
20
Required
20
Required
20
Required
20
Required
25
15
Question 3
3.
Solve each system of equations byelimination.
Be sure to write your solution in coordinate form (x,y)
Question 4
4.
Solve each word problem using substitution or elimination.
Cost of Oranges_______
Cost of Apples_______
Question 7
7.
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
Protip: Transform the points first then graph them.
T'_______
R'_______
A'_______
P'_______
Question 8
8.
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
Protip: Transform the points first then graph them.
M'_______
N'_______
O'_______
P'_______
Question 10
10.
Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)
Protip: Transform the points first then graph them.
J'_______
K'_______
L'_______
M'_______
Question 11
11.
Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)
Protip: Transform the points first then graph them.
W'_______
X'_______
Y'_______
Z'_______
Question 13
13.
Triangle ABC with vertices A(-3, 7), B(-2, 1), and C(-5, 2):
a) rotate 270° counterclockwise about the origin
A'_______
B'_______
C'_______
b) reflect on the line y=x
A''_______
B''_______
C''_______
Question 15
15.
What is the value of x?_______
What kind of angles are these angles an examples of?_______
Question 16
16.
What are the values of x, y, and z?
x°=_______
y°=_______
z°=_______
Question 18
18.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 19
19.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 20
20.
If l ∥ m, then solve for x.
Question 21
21.
If l ∥ m, then solve for x.
Question 22
22.
If l ∥ m, then solve for x.
Question 23
23.
Find the value of x.
x=_______
Then, find the measure of each labeled angle.
(7x+10)° = _______ °
(15x +16 )° = _______ °
Question 25
25.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______
Question 26
26.
Solve for x.
Find the measure of the indicated angle.
x=_______
m∠C=_______
m∠B=_______
Question 28
28.
Given △UVW≅△TSR, find the values of x, y, and z.
x=_______
y=_______
z=_______
Question 29
29.
Given △PHS≅△CNF, find the values of x, y, and z.
x=_______
y=_______
z=_______
Question 30
30.
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
If not possible, write “Not enough information.”
_______
If possible complete this congruency statement. If not write n/a in the blank.
△RST≅△_______
Question 31
31.
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
If not possible, write “Not enough information.”
_______
If possible complete this congruency statement. If not write n/a in the blank.
△RST ≅△_______
Question 32
32.
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
If not possible, write “Not enough information.”
_______
If possible complete this congruency statement. If not write n/a in the blank.
△WYX ≅△_______
Question 33
33.
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
_______
Complete this congruency statement.
△TUS≅△_______
Use the diagram to answer these questions:
The side XW=_______ (Use the side's label)
The side SU=_______ (Use the side's label)
Question 34
34.
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
_______
Complete this congruency statement.
△PQN ≅△_______
Use the diagram to answer these questions:
What is the measure of ∠PNQ?
m∠PNQ=_______ °
What is the measure of ∠SQN?
m∠SQN=_______ °
Question 35
35.
For this pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
_______
Complete this congruence statement.
△ ABD≅△_______
Use the diagram to answer these questions:
What is the measure of ∠A?
m∠A=_______ °
What is the measure of ∠C?
m∠C=_______ °
Question 36
36.
Proving and Using Congruent Triangles
What is the measure of ∠L?
m∠L=_______ °
For this pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
_______
Complete this congruence statement
△YZX ≅△_______
Use the diagram to answer these questions:
What is the measure of ∠Z?
m∠Z=_______ °
What is the measure of ∠Y?
m∠Y=_______ °
Question 37
37.
Proving and Using Congruent Triangles
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
