1 / 11

Understanding Intersecting Planes and Properties of Algebraic Equations

This guide explores the geometric foundations of planes, including what their intersections form and the number of points required to create a plane. It also covers essential algebraic properties such as Addition/Subtraction Property, Multiplication/Division Property, Reflexive Property, Symmetric Property, Transitive Property, Substitution Property, and Distributive Property. Each concept is explained with examples, including how to justify each step in solving for unknown variables in equations. Ideal for students needing clarity in geometry and algebraic reasoning.

imogene-pennington
Télécharger la présentation

Understanding Intersecting Planes and Properties of Algebraic Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Do Now:1. Copy down HW.2. Take out HW.3. When two planes intersect, what does their intersection form?4. How many points does it take to create a plane?

  2. 2-5Reasoning in Algebra (7 cards)

  3. Addition/Subtraction Property • Add or subtract the same number from both sides of an equation 4 + x = 12 -4 -4 (Subtraction Property) X = 8

  4. Multiplication/Division Property • Multiply or divide the same number on each side of an equation 8x = 56 8 8 (Division Property) X = 7

  5. Reflexive Property • A number, segment or angle is equal or congruent to itself 5 = 5 c = c

  6. Symmetric Property • Two equal numbers, segments or angles are equal or congruent to its converse If a = b, then b = a

  7. Transitive Property • The law of syllogism applied to numbers, segments and angles

  8. Substitution Property • Equivalent numbers, segments and angles can replace each other

  9. Distributive Property • a(b + c) = ab + ac

  10. Ex 2Justify each step to solve for x • Suppose points A, B and C are collinear with point B between points A and C. Solve for x if AB = 4 + 2x, BC = 15-x and AC = 21

  11. Ex 3Justify each step to solve for x • Given ray LM bisects angle KLN. The measure of angle KLM is 2x+40 and the measure of angle MLN is 4x.

More Related