Geometry

၁. In the figure below, AB // CD. What is the value of y ?

In the figure below, ∠BAC measures 50°, ∠BDC measures 80°, and ∠BCD measures 55°. What is the measure of ∠ACB ?

3. 3. The 8-sided figure below is divided into 6 congruent squares. The total area of the 6 squares is 96 square centimeters. What is the perimeter, in centimeters, of the figure?

4. 4. The base of triangle M is four times the base of triangle N, while the height of triangle N is half the height of triangle M. The area of triangle M is how many times that of triangle N ?

5. 5. A rectangular horse corral is built along one side of a square barn whose area is 5,776 square feet. The length of the corral is the same as the length of the side of the barn, while the width of the corral is one-fourth the length of the side of the barn. What is the area of the horse corral, in square feet?

6. 6. In right triangle ΔFHK below, GJ is parallel to FK, and GJ is perpendicular to HK at J. The length of HK is 12 inches, the length of GJ is 6 inches, and the length of GH is 10 inches. What is the length, in inches, of FK ?

7. 7. The diameter of circle A is twice that of circle B. If the area of circle A is 36π, then what is the circumference of circle B ?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?

8. 8. A rectangular whiteboard is 12 centimeters wide and 16 centimeters long. Which of the following is closest to the length, in centimeters, of the diagonal of this whiteboard?