Geometric Concepts: Polygons, Quadrilaterals
... Equation – (5 minutes) If each vertex has two diagonals drawn from it and there are 5 vertices what is the total number of diagonals? (On the board write: 2 * 5 = 5) Wait to see if anyone reacts. What do you mean it’s not 10? We all know that 2 * 5 = 10 not 5! But we have to notice that the diagonal ...
... Equation – (5 minutes) If each vertex has two diagonals drawn from it and there are 5 vertices what is the total number of diagonals? (On the board write: 2 * 5 = 5) Wait to see if anyone reacts. What do you mean it’s not 10? We all know that 2 * 5 = 10 not 5! But we have to notice that the diagonal ...
Chapter 4: Congruent Triangles
... Classification by Sides: Equilateral Triangle: 3 congruent sides ...
... Classification by Sides: Equilateral Triangle: 3 congruent sides ...
When three or more lines intersect in one point, they are concurrent
... An altitude of a triangle is the perpendicular segment from a vertex to the line containing the opposite side. Unlike angle bisectors and medians, an altitude of a triangle can be a side of a triangle or it may lie outside the triangle. The lines that contain the altitudes of a triangle are concurre ...
... An altitude of a triangle is the perpendicular segment from a vertex to the line containing the opposite side. Unlike angle bisectors and medians, an altitude of a triangle can be a side of a triangle or it may lie outside the triangle. The lines that contain the altitudes of a triangle are concurre ...
Higher Geometry Homework Answers – pg. 181
... Higher Geometry Homework Answers – pg. 181-182 3. For an isosceles triangle that is not equilateral, how many symmedians coincide with their isogonal conjugates? In order for this to happen, a median (isogonal conjugate of a symmedian) would have to coincide with the angle bisector drawn from the sa ...
... Higher Geometry Homework Answers – pg. 181-182 3. For an isosceles triangle that is not equilateral, how many symmedians coincide with their isogonal conjugates? In order for this to happen, a median (isogonal conjugate of a symmedian) would have to coincide with the angle bisector drawn from the sa ...
3.4 Congruence in Hyperbolic Space
... Note: In the hyperbolic plane, you cannot have similarity without congruence. Theorem: Saccheri quadrilaterals with congruent summits and summit angles are congruent. Theorem: Two omega triangles are congruent if the sides of finite length are congruent and if a pair of corresponding angles not loca ...
... Note: In the hyperbolic plane, you cannot have similarity without congruence. Theorem: Saccheri quadrilaterals with congruent summits and summit angles are congruent. Theorem: Two omega triangles are congruent if the sides of finite length are congruent and if a pair of corresponding angles not loca ...