Geometry
Geometry
Assignment
Date: 24 June 2013
A. Name each of the following. Refer to the figure below. Write your answer in a one whole sheet of paper.
1. a circle
2. three radii
3. a diameter
4. a tangent
5. a secant
6. three chords
7. point of tangency
8. central angle
9. four minor arcs
10. at least two major arcs
B. Indicate whether each statement is true or false.
1. All radii of a circle are congruent.
2. A radius is a chord of a circle.
3. A line may intersect a circle at exactly one point.
4. A circle and a line may have three points in common.
5. Every chord in a circle contains two points of the circle.
6. A chord is not a diameter.
7. A secant may contain a chord.
8. A secant may pass through the centre of a circle.
9. A tangent to a circle intersects a radius.
10. All radii have the same measure.
Activity Sheet
Directions: Help each person decide what to do by applying your knowledge on special products on each situation. 1. Jem Boy wants to make his 8 meters square pool into a rectangular one by increasing its length by 2 m and decreasing its width by 2 m. Jem Boy asked your expertise to help him decide on certain matters.
a. What will be the new dimensions of Jem Boy’s pool?
b. What will be the new area of Jem Boy’s pool? What special product will be use?
c. If the sides of the square pool is unknown, how will you represent its area?
d. If Jem Boy does not want the area of his pool to decrease, will he pursue his plan? Explain your answer.
2. Emmanuel wants to tile his rectangular floor. He has two kinds of tiles to choose from, one of which is larger than the other. Emmanuel hired your services to help him decide which tile to use.
a. What area will be covered by the 8” x 8” tile? 16” x 16” tile?
b. If the rectangular floor has dimensions of 74” x 128”, how many small square tiles are needed to cover it?
c. How many square big tiles are needed to cover the rectangular floor?
d. If each
Assignment
Date: 24 June 2013
A. Name each of the following. Refer to the figure below. Write your answer in a one whole sheet of paper.
1. a circle
2. three radii
3. a diameter
4. a tangent
5. a secant
6. three chords
7. point of tangency
8. central angle
9. four minor arcs
10. at least two major arcs
B. Indicate whether each statement is true or false.
1. All radii of a circle are congruent.
2. A radius is a chord of a circle.
3. A line may intersect a circle at exactly one point.
4. A circle and a line may have three points in common.
5. Every chord in a circle contains two points of the circle.
6. A chord is not a diameter.
7. A secant may contain a chord.
8. A secant may pass through the centre of a circle.
9. A tangent to a circle intersects a radius.
10. All radii have the same measure.
Activity Sheet
Directions: Help each person decide what to do by applying your knowledge on special products on each situation. 1. Jem Boy wants to make his 8 meters square pool into a rectangular one by increasing its length by 2 m and decreasing its width by 2 m. Jem Boy asked your expertise to help him decide on certain matters.
a. What will be the new dimensions of Jem Boy’s pool?
b. What will be the new area of Jem Boy’s pool? What special product will be use?
c. If the sides of the square pool is unknown, how will you represent its area?
d. If Jem Boy does not want the area of his pool to decrease, will he pursue his plan? Explain your answer.
2. Emmanuel wants to tile his rectangular floor. He has two kinds of tiles to choose from, one of which is larger than the other. Emmanuel hired your services to help him decide which tile to use.
a. What area will be covered by the 8” x 8” tile? 16” x 16” tile?
b. If the rectangular floor has dimensions of 74” x 128”, how many small square tiles are needed to cover it?
c. How many square big tiles are needed to cover the rectangular floor?
d. If each