Name:________________________________________________________________________________Date:_____/_____/__________
Label each of the quadrilaterals with its appropriate name:
ALWAYS UP,
SOMETIMES DOWN,
NEVER SIDE-to-SIDE!
For the following questions, answer “sometimes,” “always,” or “never” :
1. _______________ A trapezoid is a parallelogram.
2. _______________ A rectangle is a parallelogram.
3. _______________ A square is a rhombus.
4. _______________ A rhombus is a square.
5. _______________ A rectangle is a rhombus.
Short Answer:
6. Which quadrilateral has only ONE set of parallel sides?
7. Which two quadrilaterals MUST have 4 right angles?
8. Which two quadrilaterals MUST have 4 congruent sides?
Plot and label the following ordered pairs on the coordinate plane.
A (2, 3)
B (3, 4)
C (4, 3) D (3, 1)
Connect the dots.
Write the best name
for the quadrilateral:
_______________________
Plot and label the following ordered pairs on the coordinate plane.
A (-4, 1) B (-4, -3)
C (-2, 1) D (-2, -3)
Connect the dots.
Write the best name
for the quadrilateral:
_______________________
Name:___________________________________________________________________________________ Date:_____/_____/__________
Math-7 NOTES
What:
transformations (Translations). . .
Why:
. . . so I can both identify and perform a translation on the coordinate plane.
What is a transformation??
A transformation refers to a specific way a figure in geometry is either changed
or __________________ to create a new image.
4 Types of Transformations:
1)
Translation--
2)
Reflection--
3)
4)
A
Rotation--
Dilation--
AI
A
AI
A
AI
A
AI
Translations:
A
PREIMAGE
AI
We call this
“A___________.”
IMAGE
Perform the following translations:
1)
Translate the figure (2, -4):
A: (___,___)
This means two units to the right and
four units down!
2) Translate the figure (-3, 1):
A: (___,___)
A
A’: (___,___)
3)
Translate the figure (-4, -4):
A: (___,___)
A’: (___,___)
4) Translate the figure (6, -2):
A: (___,___)
IXL: X.3 & X.4
A
A
A
A’: (___,___)
A’: (___,___)
Right or left changes x! Up or down changes y!
1)
If point A is located at (2, 5) and is translated three units to the left and two
units up, where would A1 be?
2)
If point A is located at (-4, 2) and is translated five units to the right and
four units down, where would A1 be?
Wrap-it-Up/ Summary:
1) What is a translation ?
2) Which variable changes as a result of a horizontal translation? . . . a vertical
translation ?
Name:___________________________________________________________________________________ Date:_____/_____/__________
Directions:
Graph the original coordinates and label the vertices. Then graph each image and number them
accordingly. Finally be sure to fill out the chart below with the new vertices.
Name:___________________________________________________________________________________ Date:_____/_____/__________
“Translations”
(-1, 0)
(1, -2)
(3, 0)
(1, -2)
HINT: Right or left changes x! Up or down changes y!
Be careful. . . Look for the “prime” marks . . .
9)
11)
10)
12)