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Geometry Name Tyler Uberstine Per Block F Chapter 3 Study Guide
1. Definitions
Congruent Triangles| All pairs of corresponding parts are congruent. |
CPCTC| Corresponding Parts of Congruent Triangles are Congruent |
Included side or angle| The side in between two angles.|
2. State the three postulates/theorems used to prove any triangles are congruent. (Draw a sketch to illustrate the theorem/postulate.)
SSS|3 sides if one triangle is congruent to 3 sides of other triangles.|Sketch:|
SAS| Two sides and included angle of one triangle is congruent to two sides and included angle of another triangle.|Sketch:|
ASA|Two angles and included side of one triangle is congruent to two angles and included side of another triangle.|Sketch:|
3. State the theorem used to prove two right triangles are congruent. . (Draw a sketch to illustrate the theorem/postulate.)
HL|Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles.|
Sketch:
4. Parts of a triangle: (Draw a sketch showing the definition.)
Median| A line segment drawn from any vertex of the triangle to the midpoint of the opposite side.|Sketch:|
Altitude|Is a line segment drawn from any vertex of the triangle to the opposite sides|Sketch:|
Scalene triangle|No two sides are congruent|Sketch:|
Isosceles triangle|Two sides are congruent|Sketch:|
Equilateral triangle|All sides are congruent|Sketch:|
6. State and define the four classifications of triangles by angles. (Draw a sketch to illustrate the type of triangle.)
Equiangular triangle|All angles are congruent |Sketch:|
Acute triangle|All angles are acute|Sketch:|
Obtuse triangle|One angle is greater than 90 but less than 180|Sketch:|
Right triangle|One angle is a right angle |Sketch:|
7. Circle:
Definition of a circle| The set of all points in a plane that are a given distance from a given point in the plane|
Area of a circle|πr2|Circumference of a circle||...