Five-Minute Check (over Lesson 5–2) CCSS Then/Now Key
... Find the coordinates of the centroid of the triangle with vertices D(–2, 9), E(3, 6), and F(–7, 0). Find the coordinates of the orthocenter of the triangle with vertices F(–1, 5), G(4, 4), and H(1, 1). ...
... Find the coordinates of the centroid of the triangle with vertices D(–2, 9), E(3, 6), and F(–7, 0). Find the coordinates of the orthocenter of the triangle with vertices F(–1, 5), G(4, 4), and H(1, 1). ...
Algebra 2, Chapter 9, Part 1, Test A
... 1. Circle N has center (-4, 5) and radius 6. Circle O has center (1, -4) and radius 2. Part A: Describe transformations that prove that the two circles are similar. Transformations: ________________ ...
... 1. Circle N has center (-4, 5) and radius 6. Circle O has center (1, -4) and radius 2. Part A: Describe transformations that prove that the two circles are similar. Transformations: ________________ ...
Strange Geometries
... familiar with: that the angles in a triangle add up to 180 degrees. However, this postulate did not seem as obvious as the other four on Euclid’s list, so mathematicians attempted to deduce it from them: to show that a geometry obeying the first four postulates would necessarily obey the fifth. Thei ...
... familiar with: that the angles in a triangle add up to 180 degrees. However, this postulate did not seem as obvious as the other four on Euclid’s list, so mathematicians attempted to deduce it from them: to show that a geometry obeying the first four postulates would necessarily obey the fifth. Thei ...
Performance Objective Articulation Worksheet Use this worksheet to
... Radius- the distance from the center of a circle to a point on the circle (plural: radii) Diameter- a line segment that joins two points on a circle and passes through the center of the circle Chord - a segment whose endpoints are on a given circle Tangent- geometry: a line in the plane of a circle ...
... Radius- the distance from the center of a circle to a point on the circle (plural: radii) Diameter- a line segment that joins two points on a circle and passes through the center of the circle Chord - a segment whose endpoints are on a given circle Tangent- geometry: a line in the plane of a circle ...
Geometry: Chapter 7: Triangle Inequalities Halvorsen Chapter
... circles, perpendicular lines, parallel lines, and line segments. Domain G.CO.B.6: Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. Domain G.CO.B.7: Use the definition of congruence in terms of rigid motions to show that two triangles are ...
... circles, perpendicular lines, parallel lines, and line segments. Domain G.CO.B.6: Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. Domain G.CO.B.7: Use the definition of congruence in terms of rigid motions to show that two triangles are ...
Triangle Inequality Theorem
... 1. Open GSP 4.06 and complete all steps and answer all questions for GSP Triangle Inequality Activity. 2. View Lesson 5-5 Powerpoint and take notes. 3. Work through the following links 1. Khan Academy 2. Rags to Riches 3. Quia 4. Visual Representation 4. Summary: In your notes, explain the three con ...
... 1. Open GSP 4.06 and complete all steps and answer all questions for GSP Triangle Inequality Activity. 2. View Lesson 5-5 Powerpoint and take notes. 3. Work through the following links 1. Khan Academy 2. Rags to Riches 3. Quia 4. Visual Representation 4. Summary: In your notes, explain the three con ...
Theorem list for these sections.
... • You knew this one too. • Geometric interpretation is that the sum of the lengths of any two legs of a triangle must be greater than the length of the third leg. • Proof depends on the scalene inequality (above), which depends on isosceles triangle theorem, and exterior angle inequality, which depe ...
... • You knew this one too. • Geometric interpretation is that the sum of the lengths of any two legs of a triangle must be greater than the length of the third leg. • Proof depends on the scalene inequality (above), which depends on isosceles triangle theorem, and exterior angle inequality, which depe ...
Geometry
... Two lines cut by a transversal make 8 angles but they still only have two different measures ...
... Two lines cut by a transversal make 8 angles but they still only have two different measures ...
Systolic geometry
In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner and developed by Mikhail Gromov, Michael Freedman, Peter Sarnak, Mikhail Katz, Larry Guth, and others, in its arithmetical, ergodic, and topological manifestations. See also a slower-paced Introduction to systolic geometry.