University:
High School
Course:
High School Mathematics
Academic year:

2024
Views:

72

Pages:

6
Author:

kliskimiy

**Geometry Semester 2 Final Study Guide** 1. Using the figure to the right, answer the following questions: a) What is the sum of its interior angles? (n-2)180 = (8-2)180 = 1080° b) What is the sum of its exterior angles? 360° (every time) c) If the figure is a regular polygon, how many degrees does one of its exterior angles have? 360° / 8 sides = 45° d) If the figure is a regular polygon, how many degrees does one of its interior angles have? Exterior + interior = 180° 45° + interior = 180° interior = 135° 2. Classify each of the quadrilaterals below with the most specific name: * **Parallelogram:** Two pairs of parallel sides. * **Square:** Four equal sides and four right angles. * **Kite:** Two pairs of adjacent congruent sides. * **Rhombus:** Four equal sides. 3. The quadrilateral below is a parallelogram. Solve for x and y. 3x + 10 = 43 3x = 33 x = 11 4(4y-1) = 124 4y - 1 = 31 4y = 32 y = 8 4. The quadrilateral to the right is a kite. Solve for x. 360° = (x + 55) + (x + 55) + 2x + 2x 360° = 5x + 110 250° = 5x x = 50° 5. Find the length of the leg. If your answer is not an integer, leave it in simplest radical form. * **Figure 5:** ``` x² = 3² + 4² x² = 9 + 16 x² = 25 x = 5 ``` * **Figure 6:** ``` 15² = 12² + x² 225 = 144 + x² 81 = x² x = 9 ``` * **Figure 7:** ``` 22² = w² + w² 484 = 2w² 242 = w² w = √242 = 11√2 ``` Both legs are 11√2.