Geometer's Sketchpad Lab 11

This project is worth 100 points. You may hand this in early. Geometer's Sketchpad Lab The grade will be reduced 10% each day it is late. Quadrilateral Properties Due Date: Friday, Dec 5, 2014 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. Also construct the two diagonals as dotted segments and their intersection point in each quad. 2. Measure every distance and every angle. Your work must look like the model of the irregular quad that is provided. The measures must be grouped under headings, as shown. (This organization will help you quickly determine which measures – if any – are missing, and help with the completion of the table.) After 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”. (A) 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.

C A B D

NOTE: As an example of steps 2 and 3, the irregular quadrilateral has been completed for you. A 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 ALL the characteristics that ALWAYS 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 AMDG Name______Ms. Kresovic Adv Geo – 5 Assigned T 17 Nov 14. Due F 5 Dec 14* SUMMARY OF QUADRILATERAL PROPERTIES Directions: Place an X in each box IF that property is ALWAYS true for that quadrilateral. (Do not put an X in a 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. Important: 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! s e l e u t g

i b n r K a a m s l t ) o e s c u l h e u g e m b e c R R a r s d ) ) i m r r e o e e o o I g r s r r l z I o h a a a a l e r d u u

r u e i p l q e q a q o l a

a S r t a

e r l t t o T i p a o o r n a

n P n d

s r i s s a

i i T t

u t t a a a Q h t h h t ( t ( ( 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. ALL 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

Hints for writing scripts: 1. Do not select measures. 2. Do not hide objects. 3. I need to be able to read through your script and see evidence that you constructed your quadrilateral (not drew it) or you will not be given credit for that quad.

The following is for your reference only. They are hints. They are not complete steps, nor are they the only method. You do not need to complete them or hand them in. Hints for Construction Steps You will need your book, and the properties and definitions noted in chapter 5.

Irregular Quadrilateral 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).

Parallelogram By def: a Y has TWO pairs of | | opposite sides. 1. From a pt (1st vertex), make any 2 seqments to be the first two sides. 2. Select one of the segments and the non-adjacent 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 4th ______.

Rectangle By def: rect. is a Y w/ ONE rt. angle, so do NOT use perp. construction at more than one corner! 1. Draw any segment as a 1st side 2. At ONE endpt, construct a perpendicular to the segment. 3. Select any point on one this segment to be a 3rd ______. 4. Through two vertices, construct a ______(answer is not perp!) to the opposite side to find the 4th vertex.

Rhombus By def: rhombus is a Y w/ two congruent consecutive sides. Don't construct more than those conditions! 1. Draw any circle 2. Construct 2 radii to use as the 1st & 2nd sides of the rhombus 3. 4.

Square By def: square is a rhombus and rectangle. Don't construct more than those conditions. 1. Draw any circle 2. Construct 1 radius to use as the 1st side of the square. 3. 4.

(Non-isosceles) Trapezoid