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Clickers. Bellwork. Is it possible to trace the following figure without retracing any lines and without lifting your pencil from the paper? If yes, trace the route. If not, explain why it is not possible Solve for x . 7. 3. x. 9. Bellwork Solution.
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Clickers Bellwork • Is it possible to trace the following figure without retracing any lines and without lifting your pencil from the paper? If yes, trace the route. If not, explain why it is not possible • Solve for x 7 3 x 9
Bellwork Solution • Is it possible to trace the following figure without retracing any lines and without lifting your pencil from the paper? If yes, trace the route. If not, explain why it is not possible
Bellwork Solution • Solve for x 7 3 x 9
Tested Concepts • Polygon Interior and Exterior angles theorem • Properties of parallelograms, rectangles, rhombuses and squares • Properties of trapezoids, isosceles trapezoids and kites • Proving a quadrilateral is a parallelogram, trapezoid or neither based on points • Proofs of theorems for special quadrilaterals • Identification of quadrilaterals (by picture) • Identification of quadrilaterals that fit a certain criteria • Finding angles in a kite using trig ratios • Perform transformations and combinations of transformations • Perform transformations and combinations of transformations via matrix • Identify transformations • Identify compound transformations • Write equations of circles • Identify circles by equation • Write equations of parabolas • Find focus & directrix of parabolas based on equations
Question #1 Solve for x 105 x 75 120 145 130
Question #2 Solve for x 3x 2x 5x 35 85 53
Question #3 What is the value of x? Axis of symmetry Vertex
Question #4 What is the value of x? Axis of symmetry Vertex
Question #5 What value of x makes the object a rectangle? Axis of symmetry Vertex
Question #6 Solve for x? Axis of symmetry Vertex
Question #7 For what value of x, does the trapezoid become isosceles 71o 3x-2
Question #8 What is the measure of the missing angles? A 120o 40o B 15
Question #9 Solve for the midsegment AB 25 A B 31
Question #10 Solve for x 2x+1 31 A B 3x-4
Question #11 What is the name of this object
Question #12 What is the name of this object?
Question #13 Which quadrilaterals have perpendicular bisectors? • Kites, Trapezoids, Rhombuses • Rhombuses, Rectangles, Squares • Kites, Rhombuses • Kites, Rhombuses, Squares
Question #14 Which quadrilaterals have congruent bisected diagonals? • Kites, Rectangles, Squares • Rhombuses, Rectangles, Squares • Rectangles, Rhombuses • Rectangles, Squares
Example What theorem would we use to show that the quadrilateral is a parallelogram? Axis of symmetry Vertex
Example What theorem would we use to show that the quadrilateral is a parallelogram? Axis of symmetry Vertex
Example What theorem would we use to show that the quadrilateral is a parallelogram? Axis of symmetry Vertex
Example What theorem would we use to show that the quadrilateral is a parallelogram? Axis of symmetry Vertex
Example What value of x, makes the quadrilateral a parallelogram? Axis of symmetry Vertex
Clickers Bellwork • Solve for x • 5x-4=3x+10 • x2-3x-10=0 • 4x-3+5x-7+8x-12=360
Bellwork Solution • Solve for x 5x-4=3x+10
Bellwork Solution • Solve for x x2-3x-10=0
Bellwork Solution • Solve for x 4x-3+5x-7+8x-12=360