GEOMETRY PRACTICE Test 2 (3.5-3.6) SHOW ALL WORK TO PROVE ANSWERS 1. Find the value of the variable if and The diagram is not to scale. 2. The sum of the measures of two exterior angles of a triangle is 277. What is the measure of the third exterior angle? 8. Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides. 3. Find . The diagram is not to scale. 4. A nonregular hexagon has five exterior angle 9. Write the equation 9x + 3y = in slope-intercept –9 measures of 55, 58, 69, 57, and 55. What is the form. Then graph the line. measure of the interior angle adjacent to the sixth exterior angle? 5. How many sides does a regular polygon have if each 10. Write a two-column proof. exterior angle measures 72? Given: Prove: 6. Find the missing angle measures. The diagram is not to scale. 11. Find the measure of each interior and exterior angle of the figure on the right. The diagram is not to scale. 7. The jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked. 11. SHOW ALL work to earn credit. 12. Identify the form of the equation = To C. An equilateral polygon has all sides congruent. y –3x – –2. graph the equation, would you use the given form or D. A polygon is concave if no diagonal contains change to another form? Explain.= points outside the polygon. 13. Explain how to tell whether a polygon is convex. 14. Which statement is Explain. false? A. An equiangular polygon has all angles congrue B. A regular polygon is both equilateral and equiangular.
GEOMETRY PRACTICE Test 2 (3.5-3.6) SHOW ALL WORK TO PROVE ANSWERS 1. Find the value of the variable if and The diagram is not to scale. 2. The sum of the measures of two exterior angles of a triangle is 277. What is the measure of the third exterior angle? 3. Find . The diagram is not to scale. 4. A nonregular hexagon has five exterior angle measures of 55, 58, 69, 57, and 55. What is the measure of the interior angle adjacent to the sixth exterior angle? 5. How many sides does a regular polygon have if each exterior angle measures 72? 6. Find the missing angle measures. The diagram is not to scale. 7. The jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked. SHOW ALL work to earn credit. 8. Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides. 9. Write the equation 9x + 3y = –9 in slope-intercept form. Then graph the line. 10. Write a two-column proof. Given: Prove: 11. Find the measure of each interior and exterior angle of the figure on the right. The diagram is not to scale. 11. 12. Identify the form of the equation –3x – y = –2. To graph the equation, would you use the given form or change to another form? Explain.= 13. Explain how to tell whether a polygon is convex. 14. Which statement is false? Explain. A. An equiangular polygon has all angles congrue B. A regular polygon is both equilateral and equiangular. C. An equilateral polygon has all sides congruent. D. A polygon is concave if no diagonal contains points outside the polygon.