1.3.1 Transformations
... Where would your understanding of transformations be helpful in the real world? Why is it important to know the definitions of angle, parallel lines, and perpendicular bisector when discussing rotations, translations, and reflections? What is the connection between coordinate notation and a verbal d ...
... Where would your understanding of transformations be helpful in the real world? Why is it important to know the definitions of angle, parallel lines, and perpendicular bisector when discussing rotations, translations, and reflections? What is the connection between coordinate notation and a verbal d ...
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: ________________ ...
Geometry
... f. Pythagorean Theorem and Its Converse [solving quadratic equations by factoring, completing the square, or using the Quadratic Formula (OPTIONAL)] g. Pythagorean Theorem (proof using areas of squares and triangles) (Ch. 8-2) h. Determining whether a triangle is obtuse, right, or acute (Ch. 8-3) i. ...
... f. Pythagorean Theorem and Its Converse [solving quadratic equations by factoring, completing the square, or using the Quadratic Formula (OPTIONAL)] g. Pythagorean Theorem (proof using areas of squares and triangles) (Ch. 8-2) h. Determining whether a triangle is obtuse, right, or acute (Ch. 8-3) i. ...
Curriculum Analysis
... a dilation, to identify similar figures and their proportional sides and the congruent corresponding angles. G(7)(A) ...
... a dilation, to identify similar figures and their proportional sides and the congruent corresponding angles. G(7)(A) ...
Analytic geometry
In classical mathematics, analytic geometry, also known as coordinate geometry, or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry.Analytic geometry is widely used in physics and engineering, and is the foundation of most modern fields of geometry, including algebraic, differential, discrete and computational geometry.Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensions. Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean space (three dimensions). As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometrical shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations. The numerical output, however, might also be a vector or a shape. That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor–Dedekind axiom.