Transformations
Tools of Geometry
Congruent Triangles
Theorems
Relationships Within Triangles
100
A change in position, size, or shape.
What is a transformation?
100
an angle whose measure is 90 degrees.
What is a right angle?
100
The third side
What is a base?
100
Vertical Angles are congruent.
Vertical Angles Theorem.
100
When three or more lines intersect in one point.
Cancurrent
200
It's the original image.
What is a preimage?
200
Two angles whose sum of their measure is 180 degrees.
What are supplementary angles?
200
The other two angles.
What are base angles?
200
The sum of the interior angles of a triangle =180.
Triangle Angle-Sum Theorem
200
The point at which they intersect.
What is Point of Concurrency?
300
Isometry.
What is it when a preimage and an image are congruent?
300
Lines that do not lie in the same plane.
What are skew lines?
300
The congruent sides of an isosceles triangle.
What are legs?
300
Sum of the interior angles of polygon => (n-2)180
Polygon Angle-Sum Theorem
300
The perpendicular segment from a vertex to the line containing the opposite side.
What is the altitude?
400
x= (0,-4) y= (1,-2) z= (-3,-2)
Find the image of the triangle XYZ under the translation (x,y) -> (x-2, y-5). X(2,1) Y(3,3) Z(-1,3)
400
Defined as a figure formed by two collinear rays with a common endpoint.
What are opposite rays?
400
A statement that follows immediately from a theorem.
What is corollary?
400
If two angles of a triangle are congruent, then the side opposite of the angles are congruent.
Converse of Isosceles Triangle Theorem
400
Two-Thirds
The medians of a triangle are concurrent at a point that is __-__ the distance from each vertex to the midpoint of the opposite side. (fill in the blank)
500
(1,3)
Caitlyn is visiting Florida. From her hotel (0,0) she decided to go for a walk and see what's around. She walks 4 blocks east and 4 blocks north to the beach. She then walks 5 blocks west and 3 blocks north to the closest Victoria Secret for a new bikini. Caitlyn finally walks to a restaurant 2 blocks east and 4 blocks south of Victoria Secret. How many blocks is she from her hotel?
500
D= square root of (x2-x1) squared +(y2-y1) squared
What is the distance formula?
500
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
What is theorem 4-3: Isosceles Triangle Theorem
500
If two angles in one triangle are congruent to two angles in another triangle, then the third angles are/ have to be congruent.
Theorem 4-1
500
Acute Triangle: Inside Right Triangle: On Obtuse Triangle: Out
Where is the altitude of a triangle that is acute, right, and obtuse.