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Geometry Chapter 4
Geometry Chapter 5
| Term | Definition |
|---|---|
| triangle | polygon with 3 sides and 3 angles |
| scalene triangle | no congruent sides |
| isosceles triangle | at least 2 congruent sides |
| equilateral triangle | 3 congruent sides and angles (60 degrees) |
| acute | 3 angles less than 90 degrees |
| right | one angle is 90 degrees, the other two are acute |
| obtuse | one angle is more than 90 degrees, the other two are acute |
| equiangular | 3 congruent angles |
| congruent triangles... | fit on top of each other |
| CPCTC | corresponding parts of congruent triangles are congruent |
| SSS | side, side, side |
| SAS | side, angle, side (angle in between congruent sides) |
| ASA | angle, side, angle (side in between congruent angles) |
| AAS | angle, angle, side (side is not between congruent angles) |
| hypotenuse | opposite right angle, longest side of triangle |
| legs | 2 congruent sides of isosceles triangle |
| SAS --> | LL |
| ASA --> | LA |
| ASS --> | HL |
| AAS --> | LA or HA |
| the sum of the measures of the angles of a triangle = | 180 degrees |
| if 2 angles of one triangle are congruent to 2 angles of another triangle, then | the third angles are congruent |
| remote interior angles | farthest away from exterior angle, sum equals the exterior angle |
| exterior angles | angle formed from a line extended out from the base of a triangle (makes linear pair with non-remote interior angle) |
| corollary | a statement that can easily be proven using a theorem (in between a postulate and a theorem) |
| proof with angles or segments in the prove | last step is CPCTC |
| proof with triangles in the prove | last step is a reason like SAS or AAS, etc. |
| 2 steps needed in every right triangle proof | def of perpendicular, and def of right triangle |
| base | noncongruent side of isosceles triangle |
| vertex | where the legs intersect |
| base angles | formed where legs intersect base, congruent |
| steps in coordinate geometry proof | 1. draw an accurate figure on graph 2. use tools to make necessary calculations 3. write a conclusion based on your results |
| tips for drawing a good diagram for a coordinate geometry proof | use as many zeroes as possible, use as few variables as possible |
| distance formula | length, equal, congruent in prove |
| slope formula | parallel, perpendicular, right angle in prove |
| midpoint formula | half, bisect in prove |
| overlapping triangle proof tips | use more than 1 pair of congruent triangles, first pair uses given symbols/information, redraw triangles you are using separated, use CPCTC sometimes more than once, look for common sides or angles |
Created by:
ts2819
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