Transformations in the Plane
A ________ is a transformation that slides a figure in any direction. It does not change the orientation or size of the figure.
What is a Translation?
Two figures are this if their corresponding angles and corresponding sides are congruent.
What is congruent?
Two lines in the same plane that never intersect.
What are parallel lines?
The measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle are this.
What is similar?
This is the mnemonic device to remember Sine, Cosine, and Tangent.
What is SOHCAHTOA?
A ________ is a transformation that produces an image that is the same shape as the original, but is a different size.
What is a Dilation?
Only one triangle can be created given two side lengths and the included angle measure
What is Side-Angle-Side?
If a = b and b = c, then a = c.
What is the Transitive Property of Equality?
Angle-Side-Angle states that if two angles and this type of side of one triangle are congruent to two angles and the corresponding type of this side of another triangle, then the two triangles are congruent.
What is a non-included side?
Did you hear about the over-educated circle?
It has 360 degrees.
A polygon with the point "b" is currently at the point (3,4). When it is reflected over the y axis its new point is this.
What is (-3,4)?
Only one triangle can be created given three side lengths using this theorem.
What is Side-Side-Side?
When a line is intersected by another line these are the angles formed across from each other.
What are vertical angles?
Side-Angle-Side states that if two sides and this type of angle are congruent to two sides and this angle of a second triangle, the two triangles are congruent
What is an included angle?
This artist has produced albums such as, "Graduation", "Late Registration", and "The Life of Pablo". He is also commonly goes by Ye.
Who is Kanye West?
A polygon with the point "w" is currently at the coordinate (-6,-3). It is translated 10 units to the right and 2 units up. Name the new coordinate AND the quadrant it is found in.
What is (4,-1) and Quadrant IV?
If two angles and the included side of one triangle have the same measures as two angles and the included side of another triangle, the triangles are congruent.
What is Angle-Side-Angle?
In three-dimensional geometry, these are two lines that do not intersect and are not parallel.
What are skew lines?
the sum of all three angles must equal 180°, if two of the angles are congruent then the third angles must be congruent. Can be described as the Angle-Angle-Angle theorem or this.
What is Angle-Angle similarity?
Name the three sides given to a triangle when dealing with Right Angle Trigonometry.
What is Adjacent, Opposite, and Hypotenuse?
A polygon with the point "c" is currently at (-9, -4). It has a dilation factor of 0.5. The new coordinates would be this and found in this quadrant.
What is (-3,-2) and Quadrant III?
If the Triangle ABC has angle measures of 72 and 32 with a side measure of 9 and Triangle XYZ has corresponding angle measures of 72 and 32 with a corresponding side measure of 4, it would be this theorem.
If two angles form a linear pair, then they are _______
What is supplementary angles?
If triangle ABC has side lengths of 4,3,5 and triangle XYZ has side lengths of 16 and 12. Z must be this length to be similar.
What is 20?
x4y3z10 * x2y-5z-10
What is x6y-2?