Geometry Basics
Ɛhia
5
Select all the vertical angles to ∠7
Select all the vertical angles to ∠7
Ɛhia
10
What is the value of x?
What kind of angles are these angles an examples of?
Ɛhia
15
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)
Directions: Solve each system by substitution.
Be sure to write your solution in coordinate form (x,y)
Solve each system of equations by elimination.
Be sure to write your solution in coordinate form (x,y)
Solve each word problem using substitution or elimination.
Cost of Oranges
Cost of Apples
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.
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'
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'
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'
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'
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)
A''
B''
C''
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''
Select all the vertical angles to ∠7
What is the value of x?
What kind of angles are these angles an examples of?
If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°,
Solve for x
x=
m∠DEG =
Solve for y
y=
m∠DEH =
Classify this triangle by its angles and sides.
By its angles:
By its sides:
Classify this triangle by its angles and sides.
By its angles:
By its sides:
Solve for x.
Find the measure of the indicated angle.
x=
m∠C=
m∠B=
Given △GHJ≅△XYZ, find each missing measure.
GJ=
XY=
ZY=
m∠H=
m∠Z=
m∠J=
△HJG≅△
△ZXY≅△
Given △UVW≅△TSR, find the values of x, y, and z.
x=
y=
z=
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'
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'
What are the values of x, y, and z?
x°=
y°=
z°=
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 .
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 .
If l ∥ m, then solve for x.
If l ∥ m, then solve for x.
If l ∥ m, then solve for x.
Find the value of x.
x=
Then, find the measure of each labeled angle.
(7x+10)° =
(15x +16 )° =
Given △PHS≅△CNF, find the values of x, y, and z.
x=
y=
z=
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≅△
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 ≅△
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 ≅△
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=
The side SU=
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=
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=
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=
Proving and Using Congruent Triangles
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
Solve for x.
Find the length of EF=
