Assignments Quadrilaterals

... 5. An isosceles trapezoid is a trapezoid with a line of symmetry through its bases. In the diagram, ABCD is a trapezoid with line of symmetry ℓ intersecting the bases at P and Q. a. What must points P and Q be? b. Explain why A B and C D (base angles are congruent), AD BC (legs are congrue ...

... 5. An isosceles trapezoid is a trapezoid with a line of symmetry through its bases. In the diagram, ABCD is a trapezoid with line of symmetry ℓ intersecting the bases at P and Q. a. What must points P and Q be? b. Explain why A B and C D (base angles are congruent), AD BC (legs are congrue ...

Mathematics - Geometry

... the altitude is drawn to the hypotenuse of a right triangle. 3108.4.43 Apply the Pythagorean Theorem and its converse to triangles to solve mathematical and contextual problems in two- or three-dimensional situations. 3108.4.44 Identify and use Pythagorean triples in right triangles to find leng ...

... the altitude is drawn to the hypotenuse of a right triangle. 3108.4.43 Apply the Pythagorean Theorem and its converse to triangles to solve mathematical and contextual problems in two- or three-dimensional situations. 3108.4.44 Identify and use Pythagorean triples in right triangles to find leng ...

Geometry

... 3108.4.7 Identify perpendicular planes, parallel planes, a line parallel to a plane, skew lines, and a line perpendicular to a plane. 3108.4.8 Apply properties and theorems about angles associated with parallel and perpendicular lines to solve problems. 3108.4.9 Classify triangles, quadrilater ...

... 3108.4.7 Identify perpendicular planes, parallel planes, a line parallel to a plane, skew lines, and a line perpendicular to a plane. 3108.4.8 Apply properties and theorems about angles associated with parallel and perpendicular lines to solve problems. 3108.4.9 Classify triangles, quadrilater ...

Review Queue - (BMET) Library

... CK-12 Foundation is a non-proﬁt organization with a mission to reduce the cost of textbook materials for the K-12 market both in the U.S. and worldwide. Using an open-content, web-based collaborative model termed the FlexBook®, CK-12 intends to pioneer the generation and distribution of high-quality ...

... CK-12 Foundation is a non-proﬁt organization with a mission to reduce the cost of textbook materials for the K-12 market both in the U.S. and worldwide. Using an open-content, web-based collaborative model termed the FlexBook®, CK-12 intends to pioneer the generation and distribution of high-quality ...

# 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.