Geometer Sketch Pad Assignment Mark Breakdown. Exercise #1 – Question #1 Medians 4 All three meet at one point 4 Circle with a center at the centroid.

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Presentation transcript:

Geometer Sketch Pad Assignment Mark Breakdown

Exercise #1 – Question #1 Medians 4 All three meet at one point 4 Circle with a center at the centroid has no special properties. Bisectors 4 All three meet at one point 4 Circle with a center at the incenter will touch all three sides of the triangle.

Altitudes 4 All three meet at one point. 4 Circle with a center at the orthocenter has no special properties. Perpendicular Bisectors 4 All three meet at one point. 4 Circle with a center at the circumcenter will touch all three vertices of the triangle. 4 2 marks each – total of 8

Exercise #1 – Question #2 Line AB 4 Plot points (3, 4) and (7, -2) 4 Construct segment, and construct midpoint (5, 1) Line CD 4 Plot points (-3, -1) and (2, -9) 4 Construct segment, and construct midpoint (-0.5, -5) 4 Calculate the lengths of each half of the line segments to prove they are the same!! 4 2 marks each – 4 marks total

Exercise #1 – Question #3 4 Plot points!! 4 Triangle ABC is right angled and scalene! 4 Triangle DFG is right angled and scalene! 4 Triangle HIJ is right angles and isosceles! 4 Right angled (1 mark each) 4 Triangle Type Identified (1 mark each) 4 Proof with measurements (1 mark each) 4 Total 9 marks

Exercise #1 – Question #4 4 Drawing the triangle and making the midsegments.(1 mark) 4 Calculate Areas – outside triangle, inside triangle (1 mark) 4 Calculate Slopes (1 mark) 4 Calculate lengths of lines, and determine ratio (1 mark) 4 Conclusions (2 marks) –The lengths of DEF (inside) are exactly half of ABC (outside) –The area of the ABC is exactly 4 times larger than DEF (inside) –The slopes are the same!

Exercise #2 – Question #1 4 Construct parallelogram (1 mark) 4 Proof that you constructed a parallelogram (2 marks) 4 Construct midpoints of diagonals (1 mark) 4 Conclusion (1 mark) –The diagonals intersect at their midpoints. –The midpoints of the diagonals are the same point.

Exercise #2 – Question #2 4 Construct a rectangle (1 mark) 4 Proof that you constructed a rectangle (2 marks) 4 Construct midpoints of diagonals (1 mark) 4 Conclusions (2 marks) –Diagonals of rectangles are the same length. –Diagonals bisect each other (midpoints are the same)

Exercise #2 – Question #3 4 Construct Rhombus (1 mark) 4 Proof that you constructed rhombus (2 marks) 4 Construct diagonals and midpoints of diagonals. (1 mark) 4 Conclusions (2 marks) –Diagonals bisect each other –Diagonals are perpendicular

Exercise #2 – Question #4 PQRS – Square (3 marks) 4 Side lengths all equal, 90 degree angle ABCD – Rectangle (3 marks) 4 2 pairs of opposite sides equal, 90 degree angle JKLM – Parallelogram (3 marks) 4 2 pairs of opposites sides equal, no 90 degree angle FGHI – Rhombus (3 marks) 4 All four sides are equal, no 90 degree angle.

Exercise #2 - Question #5 4 Create Quadrilateral 4 different sides and 4 different angles (1 mark) - needed to show measurements 4 Connect / Create midsegments (1 mark) 4 Inside quadrilateral measurements (1 mark) –side lengths, angles and diagonals 4 Conclusions (1 mark) –midsegments form a parallelogram

Communication (10 marks) 4 Organization of assignment 4 Words / Text to explain 4 Fit to Page 4 Vertex / Coordinates labels match original assignment question 4 Conclusions - Justified and Explained