5.2 Congruent Polygons
Define corresponding part
A pair of sides or angles that have the same relative position in two congruent figures
Define the base and the leg of a triangle
The sides of equal length are the legs, the opposite vertex angle is the base
The measure of an exterior angle of a triangle is equal to the sum of the measure of two ____________ interior angles
Interior opposite angles
Define included angle
The angle formed between two adjacent sides of a polygon
Define SAS theroem
IF two sides and the included angle of one triangle to two sides the included angle of a second triangle, then the two triangle are congruent
What information do you need to prove that two triangle are congruent?
At least 3 Corresponding parts
What is the relationship between the base angles of an isosceles triangle?
Their always equal and congruent to each other
Find the measure of the acute angle: The measure of one acute angle is 5 times the measure of the other acute angle
15,75 degrees
If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then ______
are congruent by SAS
There are 6 possible subsets of three sides or angles of a triangle, which of those correspond to congruence thereom
SSS,SAS,ASA,AAS
What is the third angles theorem?
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent
Define converse base theroem
If two angles of a triangle are congruent, then the sides opposite then are congruent
Determine whether its a right triangle. A(3,3) B(6,9) C(2,5)
Scalene: not right
Your friend claims it is possible to construct a triangle congruent to triangle ABC by first constructing AB and AC and then copying angleC, are they correct?
WRONG
If two angle in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are congruent.