Chapter 10: angles and triangles - WordPress.com

CHAPTER 10: ANGLES AND TRIANGLES VOCABULARY INTERSECTING LINES, PARELLEL AND TRANSVERSALS LINES, ANGLES TRIANGLES CIRCLES QUADRILATERALS

PYTHAGOREAN THEOREM VOCABULARY LINES: PERPENDICULAR a straight line that crosses another straight line to create a 90 angle. PARALLEL a straight line that runs along the same angle as another straight line and will never intersect TRANSVERSAL a straight line that intersects two or more lines MIDPOINT the point of a line segment that divides the line segment evenly in

two equal parts VOCABULARY ANGLES OPPOSITE ANGLES non-adjacent angles that are formed by two intersecting lines ADJACENT ANGLES angles that share a common vertex and a common arm VERTEX a special kind of point that describes the corners or intersections of geometric shapes COMPLIMENTARY ANGLES two angles that add up to 90

RIGHT ANGLE one angle that is 90 VOCABULARY ANGLES SUPPLEMENTARY ANGLES two angles that add up to 180 STRAIGHT ANGLE one angle that is 180 CORRESPONDING ANGLES matching angles that are formed by transversal and two parallel lines CIRCLE has exactly 360 TRIANGLE HAS EXACTLY 180

INTERSECTING LINES A straight line = 180 (1 + 2) (1+4) Opposite angles are equal (1 = 3) (2 = 4) Perpendicular bisector = 90 1 4

2 3 PARALLEL LINES Parallel lines are the two lines that are at the same angle and same distance. They will never intersect. 1 3

8 Therefore, if a line intersects with them they will have corresponding angles. (1 = 3 = 8) TRANSVERSALS A straight line that intersects two or more lines.

Like a street that intersects with other streets Creates 4 angles that altogether measure 360 or 2 x 180 straight lines ANGLES

Acute angle is less than 90 Obtuse angle is greater than 90 Right angle is exactly = 90 Acute Obtuse Right TRIANGLES 3 sides 3 angles = 180

CIRCLES 360 total (circumference) Radian = 2rad = 360: 180 = 1 radian QUADRILATERALS Any four sided figure (ie. Square,

rhombus, rectangle, trapezoid, parallelogram) Interior angles together add up to = 360 PYTHAGOREANS THEOREM

Specific to Right-Angle Triangles 3 sides = Hypotenuse, Adjacent, Opposite Hypotenuse = longest side opposite right angle c Adjacent/Opposite are interchangeable (called legs) Formula: a + b = c