Transformations
What is a translation?
A translation is a transformation that keeps the size, shape, and orientation of a figure while "sliding" it to a new location.
What is a vertical angle?
Vertical angles are the angles that lie on opposite sides of the intersection point when 2 lines intersect.
What do these stand for:
SAS
SSS
AA
Side, Angle, Side
Side, Side, Side
Angle, Angle
What is the tangent ratio?
The ratio of the opposite side to the adjacent side of a right triangle
What are special right triangles?
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier
Examples: 45 degree - 45 degree - 90 degree
30 degree - 60 degree- 90 degree
What is a rotation?
A rotation is a transformation that preserves the size and shape while turning an entire figure about a fixed point.
What is the difference between supplementary and complementary angles?
Complementary: When 2 angles have measures that add up to 90 degrees.
Supplementary: When 2 angles have measures that add up to 180 degrees.
What are the expectations for boundaries in Matt's class?
- Electronic Citizen
- Safe and clean food
What are the expectations for Respect in Matt's class?
-Respect each other
-Respect voice
- Respect ideas
What are the expectations for participation in Matt's class?
-Not yet, is OK
-Collaborate
-Kindness goes far
What is a reflection?
A reflection is a transformation that preserves the size and shape of a figure across a line to form a mirror image.
Ex: flipping the figure across a line like a x or y axis
What are corresponding angles?
Corresponding Angle: Angles that appear in identical places in two similar situations
What are similar triangles?
Similar triangles: Have equal angles but the sides may or may not be equal
What is the Sine ratio?
The ratio of the opposite side of a right triangle to the hypotenuse
What is the Pythagorean theorem?
The Pythagorean theorem states that the area of a right triangle is a^{2}+b^{2}=c^{2} which means the hypotenuse of a right triangle squared equals the leg 1 squared plus leg 2 squared
What is a dilation?
A dilation is a transformation that maintains the shape of a figure but multiplies its dimensions by a chosen factor
What is the difference between same-side interior angles and alternate interior angles?
Same-Side Interior: 2 angles that are on the interior of the 2 lines and specifically on the same side of the transversal, they add up to 180 degrees
Alternate Interior: Angles formed when a transversal intersects 2 co-planar lines, they lie on the inner side of the parallel lines but on the opposite sides of the transversal. They equal each other
What do you use SAS, SSS, ans AA for?
These are used to see if 2 triangles are similar to each other
What is the cosine ratio?
The ratio of the adjacent side of a right triangle to the hypotenuse
What is the triangle sum theorem?
The sum of the measures of the interior angles of a triangle is 180 degrees
What are the expectations for punctuality in Matt's class?
- Timely to class
- On-task
-Timely Submission
What is a straight angle?
Straight Angle: An angle of 180 degrees
What are congruent triangles?
Congruent triangles: Have all sides and angles equal
What is tangent, cosine, and sine used for?
Tangent: (tan) To find the hypotenuse of a right triangle
Cosine: (cos) To find the opposite side of a right triangle
Sine: (sin) To find the adjacent side of a right triangle
What is in the triangle toolkit?
-law of cosine
-law of sine
-inverse sine, cosine, or tangent
-shortcuts
-tangent, cosine, sine
And more!