Flashcards

Geometry

Liź Monæ Geometry 10th grade English 30 cards

Cards in this deck (30)

1Congruency of Angle Bisectors in a TriangleThe angle bisectors of a triangle intersect a point that is equidistant from all vertices of a triangle.
2Definition of an Angle BisectorA ray that divides angles into two congruent angles.
3Angle Bisector Theorem
4What are some concurrency points?- Circumcenter
- Incenter
- Centroid
- Orthocenter
5Circumcenter, Point of concurrency for the ⊥ bisectorsThe congruency point of the perpendicular (⊥) bisectors, is equidistant from all vertices and circle is outside.
6Which point is the incenter? Why ?The incenter is where the ∠ bisectors intercept, the circle is inside and is equidistant from the sides which is point I.
7A median of a triangleA segment from a vertex to the midpoint of the opposite side.
8Def of a Centroid, point of concurrency of the mediansThe medians of a triangle intersect at a point that is 2/3 of the distance from each vertex to the midpoint of the opposite side.
9Altitude (height)An altitude is a ⊥ segment from a vertex to the opposite side.
10Orthocenter, point of concurrency of the altitudesThe point at which all altitudes intersect
11Mid-segment theoremThe segment connecting the midpoints of two sides of the third side and is half as long as that side
12Definition of a Perpendicular bisectorA segment/ray/plane that is perpendicular to segments at its midpoint.
13Def of EquidistantA point is equidistant from two figures of the same distance from each figure
14Perpendicular bisector theoremIf a point is on the perpendicular bisector then it is equidistant from the endpoints of the segment
15Converse of the perpendicular bisector theoremIf a point is equidistant from the endpoints of the segment then the point is on the perpendicular bisector
16Third Angle TheoremIf two triangles have two pairs of angles congruent, then their third pair of angles is congruent
17Pythagorean Theorem
18Exterior Angle TheoremThe measure of the exterior angle is equal to the sum of the remote interior angles, nonadjacent angles
19Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180 degrees
20Side Side Side postulateIf two triangles have corresponding sides that are congruent, then the triangles are congruent.
21How do you find the GEOMETRIC MEAN ?
22Ratio formulaA/B+A= K
K+X1 (x2-x1), k+Y1 (y2-y1) = (x,y)
23Scale factorIf two polygons are similar, then the common ratio that is being enlarged/reduced in size by its scale factor. If is a reduction the scale factor is a fraction
24Similar Polygons haveCongruent angles but proportional sides.
25Angle-Angle Similarity PostulateIf two triangles have two congruent angles then the two triangles are similar.
26Side-Side-Side Similarity TheoremIf the corresponding sides have proportional then the triangles are similar.
27Side-Angle-Side Similarity Theorem
28Triangle Proportionality Theorem
29Converse of the Triangle Proportionality Theorem
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