What does it mean to perform a reflection over the x-axis?
Draw a mirror image of the shape over the x-axis
100
What are complementary angles?
Two angles that add up to 90'
100
What does the word Dilate mean?
To Enlarge or Reduce a figure
100
When translating an image, if you add to x and y, what directions will the figure move?
The figure will move right (x) and up (y).
100
What is the Pythagorean Theorem and draw a picture that shows the theorem.
A^2+B^2= C^2
200
You are given the following coordinates:
A (2, 3)
B (5, 4)
C (3,1)
What are the coordinates of this triangle after you rotate the image 90 counterclockwise?
A' (-3, 2)
B' (-4, 5)
C' (-1, 3)
200
What is the difference between acute and obtuse triangles and draw an example of each.
Acute triangles have 3 angles less than 90'
Obtuse triangles has one angle greater than 90'
200
What does a scale factor greater than 1 mean?
The figure gets bigger
200
When translating a figure, if it moves left 4 spaces and down 2 spaces, what was done to the x and y coordinates?
You subtracted 4 from the x coordinate and 2 from the y coordinate. (x-4, y-2)
200
Solve for the missing side of a right triangle if the hypotenuse is 5 and one of the legs is 3.
What is 4
300
Look at the following image and determine if this is an example of rotation or reflection
Reflection over the y axis
300
You are given an angle of 50'. What are the complementary and supplementary angles?
Complementary- 40'
Supplementary- 130'
300
If a figure gets smaller, it must have a scale factor of what?
The scale factor must be between 0 and 1
300
Translate triangle H (2, 1) A (4, 3) T (0, 5) using the rule (x+3, y-1). What are the coordinates of the image?
H' (5, 0)
A' (7, 2)
T' (3, 4)
300
Use the Pythagorean Theorem to find the missing side of the following triangle.
x=12
400
Rotate the following coordinates 180` clockwise
C (-3, -2)
A (-6, -3)
T (0, 0)
C' (3, 2)
A' (6, 3)
T' (0, 0)
400
A tree 24 ft tall casts a shadow of 12 ft long. Joe is 6 feet tall. How long is Joe's shadow?
Joe's shadow is 3 ft long
400
Traingle DOG has coordinates D (2, 5) O (-1, 4) G (-3, 1). What are the coordinates of the image with a scale factor of 4 about the origin?
D' (8, 20)
O' (-4, 16)
G' (-12, 4)
400
Quadrilateral BATH has vertices B(5, 2) A(10, 5) T(6, 6) H(2, 8). Move the shape 12 units left and 5 units down. What are the new coordinates?
B' (-7, -3)
A' (-2, 0)
T' (-6, 1)
H' (-10, 3)
400
You are given the following information:
A right triangle has a leg that is 6 ft and a hypotenuse that is 10ft. What is the distance of the other leg of the triangle?
The leg is 8 ft long.
500
Take the coordinates B (4, 2) O (8, 3) Y (6, 0) and rotate the image 90 clockwise. Then reflect that image over the y-axis. What are the coordinates of B'O'Y' and B"O"Y"?
B' ( 2, -4)
O' (3, -8)
Y' (0, -6)
B" (-2, -4)
O" (-3, -8)
Y" (0, -6)
500
Triangle PQR is similar to Triangle XYZ. You are given the following information. Line PQ is 5 cm, line QR is 6 cm, and line PR is 10cm. You also know line XY is 30 cm. Find the perimeter of Triangle XYZ.
126 cm
500
Quadrilateral MEAT has vertices M (-3, 6) E (6, 3) A (0, -6) T(-6, -3). It is dilated by a scale factor of 1/3 about the origin. What are the coordinates of the image?
M' (-1, 2)
E' (2, 1)
A' (0, -2)
T' (-2, -1)
500
Look at the image. Describe the translation of Triangle JKL.
(x+4, y-3)
500
You are given the following information:
A right triangle has a hypotenuse of the square root of 40cm and a leg of 2cm. What is the length of the other leg?