Theorems
Triangle Parts
Congruence
Similarity
Triangle Centers
100
The corresponding parts of congruent triangles are congruent.
What is the CPCTC Theorem?
100
Triangles with 3 congruent sides, 2+ congruent sides, and 0 congruent sides, respectively.
What are Equilateral, Isosceles, and Scalene Triangles?
100
The triangles are _______________.
What is not congruent?
100
Similar triangles have exactly the same _____.
What is shape?
100
The intersection of the medians of a triangle.
What is a Centroid?
200
The sum of the measure of a triangle's angles is 180 degrees.
What is the Angle Sum Theorem?
200
A triangle has three ______, three ______, and three ______.
What are sides, angles, and vertices?
200
The theorem by which the following triangles are congruent
What is the AAS Theorem?
200
The ratio of the the lengths of corresponding sides of similar triangles.
What is scale factor?
200
The intersection of the altitudes of a triangle.
What is an Orthocenter?
300
If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, then the triangles are congruent.
What is the AAS Theorem?
300
The names of triangles... with three angles < 90°... with exactly one 90° angle... with exactly one angle > 90°.
What are acute, right, and obtuse triangles?
300
The two congruence shortcuts we studied that do not prove congruence.
What are SSA and AAA?
300
An equation that states that two ratios are equal.
What is a proportion?
300
The intersection of the perpendicular bisectors of a triangle.
What is a Circumcenter?
400
The measure of an exterior angle of a triangle equals the sum of the measures of its two remote interior angles.
What is the Exterior Angle Theorem?
400
The two angles inside a triangle that are opposite the exterior angle.
What are Remote Interior Angles?
400
The four congruence shortcuts that guarantee that two triangles are congruent.
What are SSS, SAS, ASA, and AAS?
400
Corresponding angles are congruent and corresponding side are proportional in length.
What are similar triangles?
400
The intersection of the angle bisectors of a triangle.
What is an Incenter?
500
The sum of the lengths of any two sides of a triangle is greater than the lengths of the third side.
What is the Triangle Inequality Theorem?
500
Angles on the outside of a triangle that form linear pairs with interior angles of the triangle.
What are Exterior Angles?
500
STATEMENT REASON
Step 5: △ABC ≅ △DEF SAS
Step 6: ∠BCA ≅ ∠EFD ?????
What is CPCTC?
500
To change the size, but not the shape, of a geometric figure.
What is to Dilate?
500
The balancing point of a triangle, a triangle's center of gravity.
What is a Centroid?