2nd Trimester Regmath Notes PDF

MATHEMATICS 7 PLANE Second Trimester Notes - Is a flat surface that extends infinitely by Walker Inc. (Alli Agawin) along its length and width - 2 dim...

MATHEMATICS 7 PLANE Second Trimester Notes - Is a flat surface that extends infinitely by Walker Inc. (Alli Agawin) along its length and width - 2 dimensional (infinite length Lesson 1: Geometry and width) - Can be named using a capital letter or 3 GEOMETRY points not on the same line - includes points, lines, angles, curves, (noncollinear) surfaces, and solids - point, line, and plane cannot be *Coplanar - points on the same plane defined, only described *Noncoplanar - points on the same plane POINT - Represented by a dot ( ) ANGLES - Is a specific location - Are formed when two rays meet or - Has no dimension (no length, width, or intersect at a common endpoint called thickness) vertex - Usually named by using a CAPITAL letter - Measured in degrees (॰) - Named using 3 capital letters or number *Collinear → points on the same line indicated inside the angle *Noncollinear → points not on the same line ACUTE ANGLE (me) - Angles greater than 0 less than 90° LINE ↔ degrees - Is a set of infinitely many points arrange in a straight formation - 1 dimension figure - Has infinite length, but no width or thickness - Can be named by either: a. Using two points on that line and adding a ↔ symbol above b. Using a lowercase letter RIGHT ANGLE LINE SEGMENT - Angles exactly 90° degrees - Is a subset of a line & ray with two (2) endpoints RAY - Is a subset of a line with exactly one (1) endpoint OBTUSE ANGLE SUPPLEMENTARY ANGLES - Angles that is greater than 90° but less - Sum of two angles’ measures are equal than 180° to 180° degrees - *Each of the two angles is called the supplement of the other LINEAR PAIRS ADJACENT ANGLES - Two angles form a linear pair if and only - Two angles that have a common vertex if they meet these conditions: and a common side a. They are adjacent angles, and; b. Their uncommon sides are opposite rays / form a line c. The two angles are supplementary COMPLEMENTARY ANGLES VERTICAL ANGLES - The measures of two angles that have - Pair of nonadjacent angles formed by add to 90° degrees and forms a right the intersection of two intersecting lines angle - THEOREM: If ∠1 and ∠2 are vertical - *Each of the two angles is called the angles, then ∠1≅∠2, thus, m∠1 = complement of the other m∠2