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Geo vocab
Geometry vocab
| Question | Answer |
|---|---|
| Addition property of equality | =s added to =s are = |
| Subtraction property of equality | =s subtracted from =s are equal |
| Multiplication property of equality | =s multiplied by =s are = |
| Division property of equality | =s divided by =s are = |
| Distributive property | a(b+c) = ab+ac |
| Substitution property of equality *should be used for equations only/ when equals not congruents* | if a=b then a may substitute b |
| Reflexive property | a=a, AB=AB, AB congruent AB, ... |
| Transitive property (can be used for both equal and congruent, mostly used for congruent) | if a=b and b=c then a=c if angle A is congruent to angle B and angle B is congruent to angle C then angle A is congruent to angle C |
| Congruent segmants | segments with equal measure |
| Congruent angles | angles with equal measure |
| Segment bisector | a point, line, or ray that intersects the segment at its midpoint |
| Angle bisector | divides an angle into 2 congruent angles |
| Midpoint | point that divides a segment into 2 congruent segments |
| Perpendicular lines | lines that meet to form right angles/ 90 degree angles |
| Right angle | 90 degree angles |
| Perpendicular bisector | perpendicular to given segment and intersects the segment at its midpoint |
| Complementary angles | 2 angles whose sum is 90 degrees |
| Supplementary angles | 2 angles whose sum is 180 degrees |
| Median | segment from a vertex to midpoint to the opposite side |
| Altitude | segment from a vertex, perpendicular to the opposite side |
| Segment addition postulate | whole of segment is equal to the sum of the part |
| Angle addition postulate | m∠AOB+m∠BOC=m∠AOC |
| Vertical angle theorem | when 2 straight lines intersect, they form 2 sets of linear pairs with congruent angles |
| Complement theorem | if two angles are complements of the same angle (or congruent angles) then the 2 angles are congruent. |
| Supplement theorem | if 2 angles are supplementary to the same angle then the 2 angles are congruent |
| Congruent complements theorem | if two angles are complements of the same angle (or congruent angles) then the 2 angles are congruent. |
| Congruent supplements theorem | if 2 angles are supplementary to the same angle then the 2 angles are congruent |
| Right angle theorem/Pythagorean theorem | side of right triangle^2 + side of right triangle^2= hypotenuse^2 |
| Exterior angle theorem | formed by extending any side of triangle, sum of 2 non-adjacent interior angles (not angle next to exterior angle) |
| Scalene | no congruent sides |
| Isosceles | 2 congruent sides or legs, 2 congruent base angles with vertex (if 2 side of triangle congruent, angle opposite side congruent or 2 angle congruent, sides opposite congruent |
| Equilateral/ Equiangular(equilateral triangle) | 3 congruent side/ 3 congruent angles |
| Acute | 3 acute angles |
| Obtuse | 1 obtuse angle |
| Right | 1 right angle |
| Triangle midsegment | segment connecting midpoints of 2 sides --> parallel/1/2 length of third side of triangle |
| parallel line equation: same slope | perpendicular line equation: opposite reciprocal slope |
| Distance formula | d = √((change in x)²+(change in y)² |
| Midpoint formula | (change in x/2 , change in y/2 |
Created by:
25wengjoli
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