Translations
What does a translation do to a figure?
Changes a shapes location. (Slides)
Reflections change a mathematical figures ________.
Location
What point do most rotations occur around?
The origin. (0, 0)
What does a dilation do to a figure?
Changes a figure's size
What is a triangle with all sides equal called?
Translate point (3, 4) right 2 and up 5. What is the new coordinate?
(5, 9)
Reflect (5, −2) over the x-axis.
(5, 2)
Explain the difference in reflections and rotations.
What is reflections are a congruent flip (mirrored) and rotations are a congruent turn (will change orientation but will not follow a line of symmetry)?
If the scale factor is 2, does the figure get bigger or smaller?
bigger
What type of triangle has one 90° angle?
Right Triangle
A triangle is translated left 6 and down 3. What was the rule applied to the coordinates?
(x - 6, y - 3)
Reflect (−3, 4) over the y-axis.
(3, 4)
Rotate (2, 3) 90° counterclockwise about the origin.
(-3, 2)
Dilate (3, 4) by a scale factor of 2 from the origin.
(6, 8)
The angles of a triangle are 50°, 60°, and 70°. Classify the triangle by angles.
Acute Triangle
Describe the translation that maps (−2, 7) → (4, 1).
6 units right and 6 units down
(x + 6, y - 6)
A triangle has vertices (1, 2), (3, 6), (5, 2). Reflect it over the x-axis and list the new coordinates.
(1, -2), (3, -6), (5,-2)
Rotate (−4, 1) 180° about the origin.
(4, -1)
The scale factor used to dilate a rectangle is 5. Describe the change in the new rectangle's area.
It is 25 times bigger
A triangle has side lengths 5, 5, and 8. Classify it by sides.
Isosceles Triangle
Triangle ABC is translated using the rule (x + 3, y − 2). If A is (1, 5), B is (4, 2), C is (−2, 3), what are A′, B′, and C′?
A' = (4, 3)
B' = (7, 0)
C' = (1, 1)
Kit Kats
(4, 6) is rotated 270° clockwise about the origin. Describe how the coordinates change.
(-6, 4)
Triangle XYZ has vertices (2, 4), (4, 5), (6, 1). Dilate it by a scale factor of 3. What are the new coordinates?
(6, 12)
(12, 15)
(18, 3)
One angle of a triangle is 95°, and another is 35°. What is the third angle, and what type of triangle is it?
50°