Unit 1, Day 1: Area of squares, rectangles, triangles, trapezoids, parallelograms, circles, and polygons. Define point, line, plane, line segment, ray, angle, median, altitude, perpendicular.

Objective: Area of squares, rectangles, triangles, trapezoids, parallelograms, circles, and polygons. Define point, line, plane, line segment, ray, angle, median, altitude, perpendicular.

Area:

square = a ²                                

rectangle = ab  
triangle = 0.5(b•h)

parallelogram = bh 

trapezoid = h/2 (b₁ + b₂) 

circle = pi•r ²  

polygon = (0.5)(apothem)(perimeter)

Define: 
point = a precise location or place on a plane, usually represented by a dot

line = a geometrical object that is straight, infinitely long, and infinitely thin

plane = a two-demensional surface that you place lines, points, line segments, etc.

line segment = a part of a line connected to two points with definite ends

ray = a portion of a line which starts at a point and goes off in a particular direction to infinity

angle = the amount of turn between two straight lines that have a common endpoint (the vertex)

median = a line segment joining a vertex to the midpoint on the opposite side (a triangle has 3 medians)

altitude = another word for height

perpendicular = two lines that meet together at a 90º angle

Quiz: 

1.) Find the area of a parallelogram with the base of 8.6 in. and the height of 12.9 in.

2.) Find the area of a triangle with the triangle with a height of 15.2 in. and a base of 9.7 in.

3.) Find the area of a circle with radius of 3.1 cm.

4.) Find the area of a square with the sides being 9.32 in.

5.) Find the area of a rectangle with the sides being 3.8 and 1.9 mm.

6.) Find the area of a trapezoid with the height being 3.7 cm. and base 1 being 8.4 cm. and base 2 being 1.9 cm.

7.) What would you place a line on?

8.) What is the use of a plane?

9.) When do you think you would use a line segment?

10.) Define point.

11.) Define ray.

12.) What would you use an angle for?

13.) What would be the altitude be for a pentagon having the highest point be 12 high?

14.) How many perpendicular lines does a square have?

15.) How many medians does a pentagon have?

Answers: 

1.) 8.6x12.9=110.94 in. squared

2.) 15.2x9.7÷2=73.72 in. squared

3.) 3.1•3.1•π=30.19 cm. squared

4.) 9.32x9.32=86.8624 in. squared

5.) 3.8x9.1=34.58 mm. squared

6.) 3.7/2 (8.4+1.9)= 14.5 cm. squared

7.) You would place a line on a plane.

8.) The use of a plane is to put your line and line segments on.

9.) You would use a line segment when graphing.

10.) point = a precise location or place on a plane, usually represented by a dot

11.) ray = a portion of a line which starts at a point and goes off in a particular direction to infinity

12.) You would use a angle for finding the length of the sides.

13.) The altitude would be 12 because the height is 12 and altitude is another word for height.

14.) A square has 4 perpendicular sides.

15.) A pentagon has 5 medians.

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