Chapter 4 Conjectures
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11 terms
Terms | Definitions |
|---|---|
 C-15 Vertical Angles ConjectureIf two angles are a pair of vertical angles, | then the angles are congruent. |
| C-16a Linear Pair Conjecture If two angles are a linear pair of angles, | then the angles are supplemental. |
| C-16b Congruent Supplemental Angles Conjecture If two angles are both congruent and supplemental, | then the angles are right angles. |
| C-17 Parallel Lines Conjecture If parallel lines are cut by a transversal, | then corresponding angles, alternate interior angles, and alternate exterior angles are congruent. |
| C-18 Parallel Line Converse Conjecture If two lines are cut by a transversal such that corresponding angles, alternate interior angles, and alternate exterior angles are congruent, | then the lines are parallel. |
| C-19 Midpoint Conjecture If (x1, y1) and (x2, y2) are the coordinates of the endpoints of a segment, then... | [(x1 + x2)/2, (y1 + y2)/2] are the coordinates of the midpoint of the segment. |
| C-20 Slope Conjecture If the coordinates of one point are (x1, y1) and the coordinates of another point are (x2 , y2) then... | the slope of the line through the points can be found using m = (y2 - y1)/(x2 - x1). |
| C-21 Parallel Slope Conjecture Two distinct lines in a coordinate plane are parallel iff | their slopes are equal. |
| C-22 Perpendicular Slope Conjecture Two distinct lines in a coordinate plane are perpendicular iff | their slopes are negative reciprocals. |
| C-23 Linear Equation Conjecture If the graph of a line has a slope of m and a y-intercept of (0 , b), then... | the equation of the line can be written in the form y = mx + b PT-SLOPE y = m(x - x1) + y1 |
| C-24 Centroid Coordinate Conjecture If triangle TRY has the coordinates T(a , d), R(b , e) and Y(c , f) then | the centroid of TRY has the coordinates [(a + b + c)/3 , (d + e + f)/3]. |
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