7BOBO-ޜdHHHHHH-@H--Q -t -Z(`@xHH(FG(HH(d'@-\* !gDl/F|-K -L4---HH-K*|P*-ݜ2-9v UUU-l!4 SDSET)!S - ---0j,hj,hj+f j+bSj-h ;<01234$%&'(z2UVWXY?@{| DEFJXYZlmo()>ef!"#ln   A B C D E S T U V a b         Y Z u v @ w x : ; ? S*+,>@ ; u y   # . 9 B   - :             !       P Q  <B4\Jm-3L(--T-( -ݼREADING GUIDE UNIT 7 WORKING WITH SHAPES IN TWO DIMENSIONS 1. Two questions we often need to answer when discussing flat shapes are: a. b. FOLLOWING THE DESCRIPTIONS, DRAW EACH OF THE SHAPES LISTED. 2. A triangle has three straight sides. 3. A triangle with one right angle is a right angle. 4. A rectangle has four sides and four right angles. Opposite sides of each pair are parallel and the same length. 5. A square has four sides, all the same length, and four right angles. Opposite sides of each pair are parallel. 6. A parallelogram has four sides. Opposite sides of each pair are parallel and the same length. 7. A trapezoid has four sides. Only one pair has parallel opposite sides. 8. A circle is formed by points that are all the same distance away from a certain point (the center of the circle). 9. Line segments AD and CB are called _______________. A B C D 10. The two _______________ of a rectangle are equal. If they are equal, it proves that the rectangle is squared (consists of right angles). 11. The _______________ is the distance around the figure. 12. To find the perimeter, _______________ the lengths of the sides of the figure. BE SURE TO INCLUDE THE CORRECT UNITS IN ALL YOUR ANSWERS. 13. What is the perimeter of the following rectangle? 5 inches 15 inches _______________ inches 14. The _______________ of a flat region is the amount of surface enclosed with the boundaries of the figure. 15. Area is measured in _______________ units. 16. To calculate the area of a rectangle, multiply the _______________ times the width. This is commonly shown as A = lw. 17. The length and width must be measured in the same _______________. 18. The unit of measure for the area is always the _______________ of the unit used to measure the length and width. 19. To calculate the area of a square, multiply the length of one side times _______________. This is commonly shown as A = s2. 20. In the formula A = s2, what does the 2 stand for? 21. The area of two equal right triangles together equals the area of a _______________. 22. To calculate the area of a triangle, multiply _______________ time the length of the base times the height. This is commonly shown as A = 1/2bh. 23. What is the area of this triangle. 15 cm 18 cm Area of the triangle = _______________ _______________ (be sure to include the correct units) 24. A _______________ is a sort of recipe or _______________. 25. What are the formulas used to calculate the areas of the following shapes. RECTANGLE _______________ SQUARE _______________ TRIANGLE _______________ PARALLELOGRAM _______________ TRAPEZOID _______________ 26. The distance around the circle, divided by the distance across the same circle at its widest point, is always a little more than _____. 27. Pi () is the _______________ of a circle divided by the _______________ of the same circle. 28. = _____. 29. The circumference of a circle is the distance _______________ the circle. 30. To calculate the circumference of a circle, multiply the _______________ by _____. This is commonly shown as C = d. 31. Find the circumference of this circle. d = 21 ft The circumference of this circle is _______________ _______________ (be sure to use the right units, NOTE: this is not an area problem) 32. To calculate the area of a circle, _______________ the diameter squared by _______________. This is more commonly shown as A = (d2)4. 33. A simpler way to calculate area of a circle is _____2. 34. Two triangles are similar of their corresponding angles are _______________. If two triangles are similar, then their corresponding sides are _______________. 35. Are these two triangles similar? YES NO 10 in. 5 in.  10 in. 5 in.DSET|(Hl-\JL83A-6*L8Z1?1?1?@-111@-@-DSET (H*8 U-IHU-IHU-IH3Q-IH[a-\ 0H x-I QH R-I ( Ԁ-  ( Ԁ-ݬ Ҁ-L6*8Z@-IWIWIW@-III@-ZGYGYGY@-GGG@-@-@H[H[H[@-@-@2?2?2?@-@-DSET(HxJx-d8y8jzj6*8DSETR --p-x   -Unit 7 reading guideDSETR@-l--D   -ݸ