Math sem 2
Terms
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- congruence correspondence for a figure
- is ^ABC is congruent to ^DFG
- unique bisector theorems
- every segment has a unique midepoint. every angle has a unique ray that bisects it.
- Theorem on locuses
- a point is on the perpendicular bisector of a segment if and only if it is equidistant from the endpoints of the segment
- Leg-leg congruence theorem (LL)
- if the legs of a right triangle are congruent to the legs of another right triangle, then the two triangles are congruent
- auxiliary line
- a line added to a figure, as long as you can show that they actually exsist
- Theorem on centroid
- centroid is always 2/3 on one side and 1/3 on the other
- Isosceles Triangle Theorm
- if two sides of a triangle are congruent, then the angles oppostie those sides are congruent
- Locus
- is the set of all the points that satisfy a given condition
- Hypotenuse-leg congruence theorem (HL)
- if the hypotenuse and a leg of one right triangle are ocngruent to the hypotenuse and a leg another right triangle, then the two triangless are congruent
- Theorem on locuses
- a point is on the angle bisector of an angle if and only if it is equidistant from the sides of the angle.
- Hypotenuse-acute-angle congruence theorem (HA)
- if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congurent
- Leg-acute-angle congruence theorem (LA)
- if one leg and one acute angle of a right triangle are congruent tothe corresponding leg and acute angle of another right triangle, then the two triangles are congruent
- How to find the centroid
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- Converse of the isosceles triangle theorem
- It two angles of a triangle are congruent, then the sides opposite thos angles are congruent