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Transcript
1 Agenda Questions on homework? Warm-ups: give examples of the following 1. 2. 3. 4. 5. 6. Name an acute angle Name an obtuse angle Name a right angle Name 2 polygons Name 2 supplementary angles Name 2 complementary angles Turn the warm up at the end of the class (put your name on your paper) Sections 1.5 to 1.9 2 Section 1.5 Triangles Objectives: Define and classify triangles and their related parts A triangle is a polygon with three sides Classify triangle with angles Right triangle: a right triangle has one right angle Acute triangle: an acute triangle has three acute angles Obtuse triangle: an obtuse triangle has one obtuse angles Classify triangle with sides Scalene triangle: a triangle with no congruent sides Equilateral triangle: a triangle with three congruent sides Isosceles triangle: a triangle with at least two congruent sides 3 More definitions For an isosceles triangle, (examples on the board) The angle between the two sides of equal length is called the “vertex angle”. The side opposite the vertex angle is call the base of the isosceles triangle. The two angles opposite the two sides of equal length are called base angles of the isosceles triangle 4 Section 1.6 Special Quadrilaterals Quadrilaterals is a polygon with four sides. The special quadrilaterals are: (examples on the board) Trapezoid – with exactly one pair of parallel sides Kite – with two distinct pairs of consecutive congruent sides Parallelogram – with two pairs of parallel sides Rhombus – an equilateral parallelogram Rectangle – an equiangular parallelogram Square – an equilateral rectangle; an equiangular rhombus; a regular quadrilateral 5 Section 1.7 Circles A circle is the set of all points in a plane at a given distance from a given point The given distance is called the radius (r) The given point is called the center (denoted by a dot) The segment from the center to the point on the circle is also called radius. More examples on the board 6 More terms of Circles (1.7) Chord – is a line segment whose endpoints lie on the circle Diameter – is the chord that passes through the center; a diameter is the longest chord Tangent – a tangent is a line that intersects the circle at only one point; that point is called “point of tangency” Arc – is two points on the circle and a continuous (unbroken) part between the two endpoints. Semicircle – is an arc of a circle whose endpoints are the end point of a semicircle. Major arc – an arc of a circle that is larger than a semicircle Minor arc – an arc of a circle that is smaller than a semicircle Measurement of an arc is the same as central angle which is the angle with its vertex at the center of the circle, and sides passing through the endpoints of the arc. 7 Section 1.8 Space Geometry Space is the set of all points in three-dimension, 3-D To draw the 3-D, use isometric drawing, i.e. use dashed line for edges that further away (the part you can see) and use the solid line for the part you can see. Shapes for 3-D that you need to be familiar with are: Cylinder Cone Prism Pyramid Sphere Hemisphere 8 Section 1.9 A picture is worth thousand words Translate descriptions into diagram, and vice versa Geometry is the course that deals with shapes, thus visualize the shape and translate problems information into a labeled drawing is essential Venn Diagram is a diagram that represents larger groups that contains smaller groups are circles within the circles, Example: create Venn Diagram with the shapes: parallelograms, rhombuses, rectangles, and squares. Use the Venn Diagram is easy to see the subsets, or common parts between the subsets 9 Homework All homework due on Mondays, and place your homework inside the folder, I will give you the HW log next Monday HW #5, Section 1-5, page 62-65, #1, 5, 9 HW #6, Section 1-6, page 66-67, #1 – 7 HW #7, Section 1-7, page 72-73, #2 – 9, 11 HW #8, Section 1-8, page 78-79, #1 – 6, 11 HW #9, Section 1-9, page 84-85, #5, 10 10