Ch 1 Summary - Team Celebr8
... reflectional symmetry The property that a figure coincides with itself under a reflection. Also called line symmetry or mirror symmetry. line of symmetry The line of reflection of a figure having reflectional symmetry. bilateral symmetry Reflectional symmetry with only one line of symmetry. rotation ...
... reflectional symmetry The property that a figure coincides with itself under a reflection. Also called line symmetry or mirror symmetry. line of symmetry The line of reflection of a figure having reflectional symmetry. bilateral symmetry Reflectional symmetry with only one line of symmetry. rotation ...
Ch 3 Angles
... Chapter 2 Angles What’s the secret for doing well in geometry? Knowing all the angles. As we did in the last chapter, we will introduce new terms and new notations, the building blocks for our success. Again, we will need take our time to familiarize ourselves with these and become comfortable using ...
... Chapter 2 Angles What’s the secret for doing well in geometry? Knowing all the angles. As we did in the last chapter, we will introduce new terms and new notations, the building blocks for our success. Again, we will need take our time to familiarize ourselves with these and become comfortable using ...
Section 2.6 Problem Solving in Geometry
... Let 90 – x = The measure of its complement. x = (90 – x) – 78 Combine like terms on the right-hand side to simplify. x = 12 – x Add x to both sides to get the variable terms on the same side. 2x = 12 Divide both sides by 2 to isolate the variable. x=6 Answer the question. ...
... Let 90 – x = The measure of its complement. x = (90 – x) – 78 Combine like terms on the right-hand side to simplify. x = 12 – x Add x to both sides to get the variable terms on the same side. 2x = 12 Divide both sides by 2 to isolate the variable. x=6 Answer the question. ...
Module 8 Lesson 1 and 2
... Let’s look at this shape. How would you describe this shape without using it’s name? Good. If a figure has three corners, then it also has three angles. An angle is the figure formed where two sides meet. Watch as I mark the angles on the triangle. Although these shapes look different, all of them h ...
... Let’s look at this shape. How would you describe this shape without using it’s name? Good. If a figure has three corners, then it also has three angles. An angle is the figure formed where two sides meet. Watch as I mark the angles on the triangle. Although these shapes look different, all of them h ...
Week 7
... MCC9-12.G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equ ...
... MCC9-12.G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equ ...
4-4 Using Congruent Triangles: CPCTC
... Over the course of the next couple of days, we will learn to verify and use properties of trapezoids and kites. Part I. What you know. Line m and line n are parallel and t is a transversal. 1. What type of angles are 1 and 2? ...
... Over the course of the next couple of days, we will learn to verify and use properties of trapezoids and kites. Part I. What you know. Line m and line n are parallel and t is a transversal. 1. What type of angles are 1 and 2? ...
4.6 The Isosceles Triangle Therorems
... An equilateral triangle is also equiangular An equilateral triangle has three 60 degree angles. ...
... An equilateral triangle is also equiangular An equilateral triangle has three 60 degree angles. ...
Euler angles
The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body. To describe such an orientation in 3-dimensional Euclidean space three parameters are required. They can be given in several ways, Euler angles being one of them; see charts on SO(3) for others. Euler angles are also used to describe the orientation of a frame of reference (typically, a coordinate system or basis) relative to another. They are typically denoted as α, β, γ, or φ, θ, ψ.Euler angles represent a sequence of three elemental rotations, i.e. rotations about the axes of a coordinate system. For instance, a first rotation about z by an angle α, a second rotation about x by an angle β, and a last rotation again about z, by an angle γ. These rotations start from a known standard orientation. In physics, this standard initial orientation is typically represented by a motionless (fixed, global, or world) coordinate system; in linear algebra, by a standard basis.Any orientation can be achieved by composing three elemental rotations. The elemental rotations can either occur about the axes of the fixed coordinate system (extrinsic rotations) or about the axes of a rotating coordinate system, which is initially aligned with the fixed one, and modifies its orientation after each elemental rotation (intrinsic rotations). The rotating coordinate system may be imagined to be rigidly attached to a rigid body. In this case, it is sometimes called a local coordinate system. Without considering the possibility of using two different conventions for the definition of the rotation axes (intrinsic or extrinsic), there exist twelve possible sequences of rotation axes, divided in two groups: Proper Euler angles (z-x-z, x-y-x, y-z-y, z-y-z, x-z-x, y-x-y) Tait–Bryan angles (x-y-z, y-z-x, z-x-y, x-z-y, z-y-x, y-x-z). Tait–Bryan angles are also called Cardan angles; nautical angles; heading, elevation, and bank; or yaw, pitch, and roll. Sometimes, both kinds of sequences are called ""Euler angles"". In that case, the sequences of the first group are called proper or classic Euler angles.