Unit 3 Similarity and Congruence in Transformations Unit Overview
... G-O-7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G-CO-8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definitio ...
... G-O-7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G-CO-8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definitio ...
2-6-2017 Math 8 Lesson plan
... 8.GM.3 Investigate the properties of transformations (rotations, reflections, translations, dilations) using a variety of tools (e.g. grid paper, reflective devices, graphing paper, dynamic software). a. Use coordinate geometry to describe the effect of transformations on two- dimensional figures. ...
... 8.GM.3 Investigate the properties of transformations (rotations, reflections, translations, dilations) using a variety of tools (e.g. grid paper, reflective devices, graphing paper, dynamic software). a. Use coordinate geometry to describe the effect of transformations on two- dimensional figures. ...
GEOMETRY--2013
... to graph the ordered pairs. Hit “2nd” and “y=” again and then ENTER. Scroll over to “ON” and then press ENTER until “on” is highlighted. Under the “type”, choose the 2nd type of graph (scatterplot with connected dots) and then press enter until it is the only graph type highlighted. Under “xlist” ty ...
... to graph the ordered pairs. Hit “2nd” and “y=” again and then ENTER. Scroll over to “ON” and then press ENTER until “on” is highlighted. Under the “type”, choose the 2nd type of graph (scatterplot with connected dots) and then press enter until it is the only graph type highlighted. Under “xlist” ty ...
Exercises - Durham University
... 13.3. Prove SSS, ASA and SAS theorems of congruence of hyperbolic triangles. 13.4. Let ABC be a triangle. Let B1 ∈ AB and C1 ∈ AC be two points such that ∠AB1 C1 = ∠ABC. Show that ∠AC1 B1 > ∠ACB. 13.5. Show that there is no “rectangle” in hyperbolic geometry (i.e. no quadrilateral has four right ang ...
... 13.3. Prove SSS, ASA and SAS theorems of congruence of hyperbolic triangles. 13.4. Let ABC be a triangle. Let B1 ∈ AB and C1 ∈ AC be two points such that ∠AB1 C1 = ∠ABC. Show that ∠AC1 B1 > ∠ACB. 13.5. Show that there is no “rectangle” in hyperbolic geometry (i.e. no quadrilateral has four right ang ...
Noneuclidean Tessellations and Their Relation to Regge Trajectories
... singularity. The two parameters of the equation determine the Regge trajectories, and the degeneracy of the angular momentum states. The Regge trajectories express the angular momentum in terms of the energy, and if the potential is real, or the energy is greater than the potential energy, the angul ...
... singularity. The two parameters of the equation determine the Regge trajectories, and the degeneracy of the angular momentum states. The Regge trajectories express the angular momentum in terms of the energy, and if the potential is real, or the energy is greater than the potential energy, the angul ...
Guided Practice: continued
... Chapter 5 Intro to Congruence Transformations and Coordinate Proofs ...
... Chapter 5 Intro to Congruence Transformations and Coordinate Proofs ...
VELS – Progression Points MATHEMATICS : Number
... presented scale on a map or plan and use it as a guide to distance and size, such as this map shows 300m to be about as long as my pen lid, means the shop is about 400m from the dam. ...
... presented scale on a map or plan and use it as a guide to distance and size, such as this map shows 300m to be about as long as my pen lid, means the shop is about 400m from the dam. ...
Common Core Lesson Planning Template
... • Line: One of the undefined terms of geometry that represents an infinite set of points with no thickness and its length continues in two opposite directions indefinitely. AB indicates a line that passes through points A and B. • Line segment: A part of a line between two points on the line. AB ind ...
... • Line: One of the undefined terms of geometry that represents an infinite set of points with no thickness and its length continues in two opposite directions indefinitely. AB indicates a line that passes through points A and B. • Line segment: A part of a line between two points on the line. AB ind ...
Hyperbolic geometry 2 1
... fix two points on the boundary, namely the origin and ∞ , but don’t fix any point in H2 . In general, direct isometries that fix two points on the boundary (and no points in H2 ) are called hyperbolic isometries or hyperbolic translations. They move points along the geodesic joining the two fixed po ...
... fix two points on the boundary, namely the origin and ∞ , but don’t fix any point in H2 . In general, direct isometries that fix two points on the boundary (and no points in H2 ) are called hyperbolic isometries or hyperbolic translations. They move points along the geodesic joining the two fixed po ...
Sample Final
... (2) (10 pts) Draw a cevian line for a triangle ABC (in hyperbolic geometry). Prove that the angle defect (π radians minus the sum of the angles in the triangle) is equal to the sum of the defects of the two sub-triangles created by the cevian line. (3) (10 pts) Prove that two Saccheri quadrilaterals ...
... (2) (10 pts) Draw a cevian line for a triangle ABC (in hyperbolic geometry). Prove that the angle defect (π radians minus the sum of the angles in the triangle) is equal to the sum of the defects of the two sub-triangles created by the cevian line. (3) (10 pts) Prove that two Saccheri quadrilaterals ...
