Postulates
The postulate states "two triangles are similar if they have two corresponding angles that are congruent"
What is AA postulate?
This property states that if a quantity is equal to a second quantity, then the second quantity is equal to the first.
What is symmetric property?
A mirror image of a shape
Reflection
This theorem states that an angle bisector in a triangle bisects the opposite side in such a way that the ratio of the two line segments is proportional to the ratio of the other two sides."
What is the angle bisector theorem?
Degrees in a triangle.
What is 180?
Mr.Massiah & Ms.Bushra's ages
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This property states that a quantity may be substituted for its equal.
What is substitution property?
A figure that is about to undergo a transformation
Pre-Image
Vertical angles are..
A triangle that has two congruent angles and two congruent side lengths.
What is an isosceles triangle?
This postulate states "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent."
What is SAS postulate?
This property states that if two quantities are equal to the same quantity, then they are equal to each other.
What is transitive property?
A transformation is said to be distance preserving if the distance between the images of two points is always equal to the distance between the pre-images of the two.
Distance-Preserving
If two angles form a linear pair, then they are...
What is supplementary?
The sum of consecutive interior and exterior angle is...
What is supplementary?
If three sides of one triangle are equal in measure to the corresponding sides of another triangle, then the triangles are congruent
What is SSS postulate?
This property states that if equal quantities are divided by equal quantities, then the properties are equal.
What is the Division Property of Equality?
When we move the image without changing anything in it, eg the shape, size, and orientation remain the same.
What is Translations
This theorem helps us figure out the hypotenuse in a right triangle.
What is the Pythagorean theorem?
Two opposite interior angles of a triangle are equal to...
What is the exterior angle of a vertex of a triangle?
This postulate states "if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent."
What is ASA postulate?
This property states that a whole is equal to the sum of its parts.
What is Partition Property?
A transformation is said to be angle-preserving if (1) the image of any angle is again an angle and (2) for any given angle, the angle of the image of that angle is equal measure of the pre-image of that angle.
Angle-Preserving
If two parallel lines are intersected by a transversal, then alternate interior angles are equal in measure
What is the Alternate Interior Angles Theorem?
Exterior angles of a triangle add up to...
What is 360 degrees?