Monday – Get your books Warm Up

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Presentation transcript:

Monday – Get your books Warm Up Find sin 15, cos 57, tan 45 The angles that look to be 90 degrees are Find the following lengths 30 5 x y 3 23 7 z 20

Modeling Geometry – This unit only lasts 3 weeks

Modeling Geometry – This unit lasts only 3 weeks Section 17 Modeling Geometry – This unit lasts only 3 weeks Section 17.1 - Need to be able to do: Slope of Parallel Lines – page 1188 Slope Intercept Form – most popular, most of you know Point Slope Form – page 1189 Slope of Perpendicular Lines – page 1192 Slope of Horizontal and Vertical Lines – page 1195 Distance formula Distance between line and point – page 1197 Midpoint formula – page 1199 Talk the Talk

Monday P-1 got through # 11 on page 1191 P-2 and 3 got through page 1193 and they were supposed to work on 1194

Tuesday – Get your books Warm Up Find the measure of angles x, y and z. z 5 5 3 3 x 7 2 y

Tuesday – finish Section 17.1

Wednesday Warm Up: Find the midpoint of the line segment on the shortest line from point (1 ,4) to the line y = 3x – 5 Computer lab working on systems of equations

Thursday – pick up your texts Warm Up – make a flow chart describing what we know about: Quadrilaterals Parallelograms Rectangle Rhombus Square Do also for triangles, kites, and trapezoids

Quadrilaterals Closed, planar four sided shape, sides are all straight

Parallelograms Quadrilateral with: Two sets of parallel sides Opposite sides are congruent Opposite angles are congruent Diagonal bisect each other Diagonals form two pair of congruent triangles

Rhombus Parallelogram with: All sides are congruent Diagonals are perpendicular Diagonals form 4 congruent right triangles

Rectangles Parallelogram with: Perpendicular corners Parts of diagonals are all congruent Diagonals form two pairs of congruent isosceles triangles

Square Has all the properties of a Rectangle and Rhombus Four congruent right isosceles triangles

Other Quadrilaterals Trapezoids: Isosceles trapezoids: Kite Quadrilateral with exactly one pair of sides parallel Isosceles trapezoids: Have congruent non parallel legs Two pairs of congruent angles Kite Two pair of adjacent sides are congruent Long diagonal bisects short diagonal One pair of opposite angle are congruent Diagonals are perpendicular Two pair of congruent right triangles

Triangles Based on side length: Based on angles Scalene – all sides different length Isosceles – one pair of sides are congruent Equilateral – all sides congruent Based on angles Obtuse – one angle > 90 degrees Acute – all angles < 90 degrees Equiangluar – all angles = 60 degrees Right – one angle = 90 degrees

Thursday 17.2 and 17.3 Pretest Hw page 1215

Friday – Get your text books – Warm Up Pick up Progress Letters Pick up HW pg 1215 Make a general quadrilateral, not anything special, and give them each a Cartesian coordinate point. Hint: make all the x’s even, and all the y’s odd numbers. Calculate and connect the midpoints of each side. Describe the shape formed Section 18.1, problems on pages: 1226, 1227, 1228 Section 18.2, problems on pages 1234 – 1236

Home Work!!! To be graded Make a general quadrilateral, not anything special, and give them each a Cartesian coordinate point. Hint: make all the x’s even, and all the y’s odd numbers. Calculate and connect the midpoints of each side. Describe the shape formed Extra Credit: use A = (x1, y1), B = (x2, y2), C = (x3, y3), D = (x4, y4)