Chapter 3 Flashcards
CPCTC
Correspond parts of congruent triangles are congruent.
SSS
If all sides of two triangles have the same measure then those two triangles are congruent
SAS
Two sides and the included angle
ASA
Two angles and the included side
AAS
Two angles and the non-included side
The Hypotenuse Angle Theorem
If the hypotenuse angle and an acute angle of a right triangle are congruent to another hypotenuse angle and acute angle of a triangle then those two triangles are congruent. VARIATION OF ASA IN RIGHT TRIANGLES.
The Hypotenuse Leg Theorem
If the hypotenuse and one leg of a RIGHT triangle are congruent to another hypotenuse leg and another leg in a RIGHT triangle then those two triangles are congruent. VARIATIONS OF SAS IN RIGHT TRIANGLES
Similar triangles
Have congruent corresponding angles and proportional corresponding sides. Can be identified by AA,SSS&SAS
How to solve with similar triangles
Set up proportional fractions with the corresponding sides and set them equal to each other.
Congruent shapes
Figures with the same size and shape
Similar shapes
Figures with the same shape but not always the same size. Corresponding angles are congruent and the corresponding sides must be proportional.