Geometer's Sketchpad Lab Quadrilateral Properties Due Date: _Friday, November 6, 2015_
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1 Geometer's Sketchpad Lab Quadrilateral Properties Due Date: _Friday, November 6, 2015_ This project is worth 100 points. The grade will be reduced 10% each day it is late. 1. Complete the steps to CONSTRUCT (not draw) each quadrilateral. That means, when you drag a vertex or resize, your quadrilateral must still fit the definition. lso construct the two diagonals as dotted segments and their intersection point in each quad. 2. Measure every distance and every angle. fter you ve headed and titled the document and all measures are taken, then print preview fit to page and print the construction. Move a point to change measures. (It must still fit the definition or you've found a problem with your construction steps.) Reprint. You now have two construction diagrams. 3. Create and print the script. On the sketch, select all. Go to the custom tool in the tool bar:. Choose Create New Tool. () Name the new tool after the quadrilateral. (B) Check Show Script View. (C) Type your name in the comments line. (D) Right click in white space to page set up and print. B D C NOTE: s an example of steps 2 and 3, the irregular quadrilateral has been completed for you. copy is attached. Yes, all of your work should have a complete heading, titled with the name of the quadrilateral, and organized with subheadings like the example. This will also help you know what you did or didn t measure. 4. Go to the grid on the last page of this lab report and check LL the characteristics that LWYS apply to each quad. Your measurements must support your answers! You will hand in (stapled in this order): Grid/table, completed with your name and period written on it in the space provided on the top. Kite, 2 sketches and 1 script Parallelogram, 2 sketches and the script Rectangle, 2 sketches and the script Rhombus, 2 sketches and the script Square, 2 sketches and the script Non-isosceles trapezoid, 2 sketches and the script Isosceles trapezoid, 2 sketches and the script
2 Name MDG Ms. Kresovic Course, period ssigned R 22 Oct 14. Due T 11 Nov 14* SUMMRY OF QUDRILTERL PROPERTIES Directions: Important: Place an X in each box IF that property is LWYS true for that quadrilateral. (Do not put an X in any box that is only sometimes true.) *This assignment MUST be handed in on time. If you are having difficulty, you must communicate with me BEFORE the due date for a possible extension (which will only be granted for extenuating circumstances). Note: This project takes me about two weeks to grade. Late papers will be penalized 10% per day it is late. This assignment is worth 100 points. Be sure your measures on pages 1-4 support your answers here. No guessing! You will lose points for each missing X or extra X, so be sure to mark this grid carefully! Irregular Quadrilateral Kite (that is not a rhombus) Parallelogram Rectangle (that is not square) Rhombus (that is not square) Square Trapezoid Isosceles Trapezoid 1. Has exactly four sides 2. Exactly one pair of parallel opposite sides 3. Two pairs of parallel opposite sides 4. Exactly one pair of congruent opposite sides 5. Two pairs of congruent opposite sides 6. Exactly one pair of congruent opposite angles 7. Two pairs of congruent opposite angles 8. Congruent diagonals 9. Perpendicular diagonals 10. Each Diagonal bisects the other diagonal 11. Only one Diagonal bisects the other diagonal 12. Both diagonals bisect a pair of opposite angles 13. One diagonal bisects a pair of opposite angles 14. Four congruent angles (at the four vertices) 15. Four congruent sides 16. LL pairs of consecutive angles are supplementary 17. Some, but not all, pairs of consecutive angles are supplementary 18. Four right angles (at the four vertices) 19. Diagonals form four congruent right triangles 20. Diagonals form four congruent isosceles right triangles
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5 Irregular Quadrilateral Script
6 The following pages are for your reference only. You do not need to complete them or hand them in.
7 Construction Steps Construction 1 & Measures Construction 2 & Measures IRREGULR QUDRILTERL This is the only one that requires NO CONSTRUCTION steps since we do not need any congruent, parallel, or perpendicular sides. (Just draw any four unrelated points and connect them with segments, so this is NOT a construction.) Hint: You may use arrows if some spots on your sketch get too crowded for measures. KITE By def: kite has 2 (disjoint) pairs of congruent consecutive sides (disjoint pairs involve all 4 sides, can't use one side in both pairs.) 1. Make two intersecting circles with different radii. 2. Construct the intersection points of the two circles as two of the kite's vertices. 3. Use the centers of the circles as the other two radii. Hint: No need to use up space on your lab sheet to show the rest of the circles since we really only needed them to create the two radii (equidistant points) G B D F G C C B D G C
8 Construction Steps Construction 1 & Measures Construction 2 & Measures PRLLELO- GRM By def: a has TWO pairs of opposite sides. 1. From a pt (1 st vertex), make any 2 seqments to be the first two sides. 2. Select one of the segments and the nonadjacent endpoint and CONSTRUCT a parallel line. 3. Select the other segment and endpoint and CONSTRUCT another line. 4. Construct the intersection point of the lines from steps 2 & 3 as the 4 th. RECTNGLE By def: rect. is a w/ ONE rt. angle, so do NOT use perp. construction at more than one corner! C Use any non-square rectangular shape & write in all the measures here. B Drag a vertex to make a very different looking rectangle & write in all the measures here. 1. Draw any segment as a 1 st side 2. t ONE endpt, construct a perpendicular to the segment. 3. Select any point on one this segment to be a 3 rd. 4. Through two vertices, construct a (answer is not perp!) to the opposite side to find the 4 th vertex.
9 Construction Steps Construction 1 & Measures Construction 2 & Measures RHOMBUS By def: rhombus is a w/ two congruent consecutive sides. Don't construct more than those conditions! D F Drag a vertex to make a very different looking rectangle & write in all the measures here. 1. Draw any circle 2. Construct 2 radii to use as the 1 st & 2 nd sides of the rhombus 3. E 4. SQURE By def: square is a rhombus and rectangle. Don't construct more than those conditions. Use any square & write in all the measures here. Rotate & change the size of your square & write in all the measures here. 1. Draw any circle 2. Construct 1 radius to use as the 1 st side of the square
10 Construction Steps Construction 1 & Measures Construction 2 & Measures (NON-ISOSCELES) TRPEZOID By def: trap. has exactly one pair of opposite side. Don't construct more than those conditions. Note: bases need not be "top" & "bottom" ISOSCELES TRPEZOID By def: trap w/ congruent legs. Don't construct more than those conditions. 1. Draw a segment as a 1 st side 2. Use one endpt as a center of a circle. Choose a good pt on the circle as the 3 rd vertex. 3. Through the 3 rd vertex, construct a parallel to the 1 st side. 4. t the other endpt of the 1 st side, construct a circle congruent to the previous circle. 5. Construct the intersection point of the parallel line with the 2 nd circle as the 4 th vertex. B F E
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