Simson Lines - Whitman College
... 2. Introduction to Simson’s Theorem Once again, Simson’s Theorem stated as an if and only if relationship, says that given a triangle 4ABC and a point P , called the pole of the Simson Line, the three feet of the perpendiculars from P to the sides or sides extended of 4ABC are collinear if and only ...
... 2. Introduction to Simson’s Theorem Once again, Simson’s Theorem stated as an if and only if relationship, says that given a triangle 4ABC and a point P , called the pole of the Simson Line, the three feet of the perpendiculars from P to the sides or sides extended of 4ABC are collinear if and only ...
Side-Angle-Side Congruence (SAS)
... a second triangle and one corresponding side is congruent in each triangle, the triangles are congruent. Angle-Angle Similarity (AA) if the two angles in one triangle match two angle in another triangle. ...
... a second triangle and one corresponding side is congruent in each triangle, the triangles are congruent. Angle-Angle Similarity (AA) if the two angles in one triangle match two angle in another triangle. ...
2-5 PROVING ANGLES CONGRUENT (p. 96
... Examine the paragraph proof for Theorem 2-2 on p. 99. Example: Illustrate Theorem 2-2 with 3 angles and their specific measures. Do the same for 4 angles and their specific measures. Example: 1 and 2 are supplementary. Also, m 1 is one eighth m 2. Set up and solve an equation to find the value o ...
... Examine the paragraph proof for Theorem 2-2 on p. 99. Example: Illustrate Theorem 2-2 with 3 angles and their specific measures. Do the same for 4 angles and their specific measures. Example: 1 and 2 are supplementary. Also, m 1 is one eighth m 2. Set up and solve an equation to find the value o ...
A rigorous deductive approach to elementary Euclidean geometry
... teaching elementary Euclidean geometry at the secondary education levels. Euclidean geometry is a privileged area of mathematics, since it allows from an early stage to practice rigorous reasonings and to exercise vision and intuition. Our concern is that the successive reforms of curricula in the l ...
... teaching elementary Euclidean geometry at the secondary education levels. Euclidean geometry is a privileged area of mathematics, since it allows from an early stage to practice rigorous reasonings and to exercise vision and intuition. Our concern is that the successive reforms of curricula in the l ...
Triangles and Cabri Jr
... b. Move the new cursor on one of the vertices (the vertex will blink) and hit c. Type a label for your vertex (the calculator is already in alpha mode, so just type a letter) d. Hit e. Move to the next vertex (make it blink) and hit f. Type the label and hit ...
... b. Move the new cursor on one of the vertices (the vertex will blink) and hit c. Type a label for your vertex (the calculator is already in alpha mode, so just type a letter) d. Hit e. Move to the next vertex (make it blink) and hit f. Type the label and hit ...
