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Geometry Ch 5
Stepp's Prentice Hall Geometry Chapter 5 - Relationships Within Triangles
| Question | Answer |
|---|---|
| If a point is on the angle bisector of an angle, then it is___ from the sides of the angle | equidistant |
| If a point is equally distant from the endpoints of a segment, then it is on the ___ of the segment | perpendicular bisector |
| If a point is on the perpendicular bisector of a segment, then it is ___ from the endpoints | equidistant |
| The shortest distance from a point to a line is measured along the ___ from the point to the line | perpendicular |
| True or False: If a point is equally distant from the endpoints of a segment , then it must be the midpoint of the segment | False ( it must be on the perp. bis.) |
| True or False: an isosceles triangle can not have three congruent angles | False ( it has at least 2 congruent sides) |
| The centroid is the point where the three ___ intersect | medians |
| The orthocenter is the point where the three ___ intersect | altitudes |
| The incenter is the point where the three ___ intersect | angle bisectors |
| The circumcenter is the point where the three ___ intersect | perpendicular bisectors |
| The centroid is the center of ___. | gravity |
| An inscribed circle in a triangle has its center at the ___ | incenter |
| A circle that is circumscribed about a triangle has its center at the ___. | circumcenter |
| Concurrent lines are lines that intersect in a ___ | single point |
| the ___ is equidistant from the sides of a triangle | incenter |
| the ___ is equidistant from the three vertices of a triangle | circumcenter |
| the ___ is the center of a circle that passes thru each vertex of a triangle | circumcenter |
| the ___ is the center of a circle that interesect each side of a triangle once | incenter |
| If a segment in a triangle joins the midpoints of two sides, then the segment is ___ to the third side and ____ its length | Parallel, half |
| distance is always measured ____ | along a perpendicular |
| Medians extend from a ___ to the ___ of the opposite side | vertex, midpoint |
| Altitudes extend thru a ___ and are perpenducular to the ___ | vertex, the line containing the opposite side |
| The centroid is ___ the distance from each vertex to the midpoint of each side | two thirds (2/3) |
| The altitudes meet at the ___ | orthocenter |
| ___ and ___ are always inside the triangle | centroids, incenters |
| If a point of concurrency is outside a triangle, the triangle is ___ | obtuse |
| adding the word "NOT" is how you ___ a statement | negate |
| to negate a conditional statement you must add two ___ | "Nots" |
| ~p implies ~q is the ___ | inverse |
| ~q implies ~p is the ___ | contrapositve |
| To get the inverse, just ___ the original conditional statement | negate |
| To get the contrapositive, just ___ and ___ the original conditional | reverse, negate |
| When you assume the opposite (negation) to be true and show a contradiction exists to prove a statement, you have used ____ reasoning | indirect |
| The longest side in a triangle is across from the ___ | largest angle |
| the shortest side in a triangle is across from the ___ | shortest angle |
| For a triangle to be possible, the two shortest sides must ___ | have a sum greater than the longest side |
Created by:
criswell216
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