Handout 1 Math 121 01/17/2016 3.4
... THEOREM 3.4-1: Perpendicular Transversal Theorem In a plane, let two lines be cut by a transversal. If the transversal is perpendicular to one of the parallel lines, then it is perpendicular to the other parallel line. THEOREM 3.4-2: Two Lines Parallel to a Third Line If two lines are parallel to th ...
... THEOREM 3.4-1: Perpendicular Transversal Theorem In a plane, let two lines be cut by a transversal. If the transversal is perpendicular to one of the parallel lines, then it is perpendicular to the other parallel line. THEOREM 3.4-2: Two Lines Parallel to a Third Line If two lines are parallel to th ...
Conjectures
... If a triangle is isosceles, then its base angles are congruent. Converse of the Isosceles Triangle Conjecture If a triangle has two congruent base angles, then it is an isosceles triangle. Vertex Angle Bisector Conjecture In an isosceles triangle, the bisector of the vertex angle is also the altitud ...
... If a triangle is isosceles, then its base angles are congruent. Converse of the Isosceles Triangle Conjecture If a triangle has two congruent base angles, then it is an isosceles triangle. Vertex Angle Bisector Conjecture In an isosceles triangle, the bisector of the vertex angle is also the altitud ...
Chapter 4 Lesson Plans - Woodland Hills School District
... •Identify and classify triangles by angles and by sides •Explain why triangles cannot be right and acute… •Identify relationships among the measures of interior and exterior angles of a triangle •Apply the angle sum theorem (sum of 3 angles of triangle = ...
... •Identify and classify triangles by angles and by sides •Explain why triangles cannot be right and acute… •Identify relationships among the measures of interior and exterior angles of a triangle •Apply the angle sum theorem (sum of 3 angles of triangle = ...
Triangles Lesson Plan
... In the video, we will see how triangles are named, how they are compared, and how they are used to solve problems in the real world. Show the video Real World Problems. After the video, focus on these points: • The sum of the angles in any triangle is always 180°. • Equilateral triangles have three ...
... In the video, we will see how triangles are named, how they are compared, and how they are used to solve problems in the real world. Show the video Real World Problems. After the video, focus on these points: • The sum of the angles in any triangle is always 180°. • Equilateral triangles have three ...
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... 2. Triangle ABC and triangle DEF are graphed on the set of axes below. Which sequence of transformations maps triangle ABC onto triangle DEF? 1) a reflection over the x-axis followed by a reflection over the y-axis 2) a 180° rotation about the origin followed by a reflection over the line 3) a 90° c ...
... 2. Triangle ABC and triangle DEF are graphed on the set of axes below. Which sequence of transformations maps triangle ABC onto triangle DEF? 1) a reflection over the x-axis followed by a reflection over the y-axis 2) a 180° rotation about the origin followed by a reflection over the line 3) a 90° c ...
Apollonian network
In combinatorial mathematics, an Apollonian network is an undirected graph formed by a process of recursively subdividing a triangle into three smaller triangles. Apollonian networks may equivalently be defined as the planar 3-trees, the maximal planar chordal graphs, the uniquely 4-colorable planar graphs, and the graphs of stacked polytopes. They are named after Apollonius of Perga, who studied a related circle-packing construction.