Circles and Polygons Long-Term Memory Review Review 1 (Note: Figures are not drawn to scale.)
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1 Review 1 (Note: Figures are not drawn to scale.) 1. Fill in the lank: In circle below, the angle shown is a/an angle. 2. The measure of a central angle and the measure of the arc that it intersects are equal. Use this fact to determine the measure of arc C in circle. 120 C 3. Circle the correct term used to describe the line shown in the picture below. chord secant tangent diameter radius 4. Identify the number of sides in each polygon listed. nonagon hexagon pentagon triangle decagon octagon 5. What is the sum of the measures of the interior angles of a triangle? 6. Draw a convex pentagon. Partition the pentagon into non-overlapping triangles. Count the number of triangles and use this to determine the sum of the interior angles of a pentagon. 7. What is the sum of the exterior angles of a convex polygon?
2 Review 2 (Note: Figures are not drawn to scale.) 1. Fill in the lank: In circle below, the angle shown is a/an angle. 2. The measure of an inscribed angle is half of the measure of the arc that it intersects. Use this fact to determine the measure of arc C in circle, if mc 43? C 3. Circle the correct term used to describe the line segment shown in the picture below. radius chord diameter secant tangent 4. Identify the number of sides in each polygon listed. quadrilateral heptagon dodecagon octagon pentagon nonagon 5. What is the sum of the measures of the interior angles of a triangle? 6. Draw a convex hexagon. Partition the hexagon into non-overlapping triangles. Count the number of triangles and use this to determine the sum of the interior angles of a hexagon. 7. regular polygon is a polygon with congruent sides and congruent angles. What is the measure of one exterior angle of a hexagon?
3 Review 3 (Note: Figures are not drawn to scale.) 1. The measure of the central angle shown below is 120. What fraction of the circle does this represent? 2. Find the circumference of circle. Leave your answer in terms of pi. C 2 r 5 in 3. Find the arc length of in circle. Leave your answer in terms of pi in 4. Circle the correct term used to describe the line shown in the picture below. secant radius chord tangent diameter 5. Fill in the table below. Number Name of of Sides Polygon 3 quadrilateral 5 9 heptagon octagon Sum of the Measures of the Interior ngles Use the results from the table above to determine a formula for the sum of the measures of the interior angles of an n-sided polygon.
4 Review 4 (Note: Figures are not drawn to scale.) 1. In the diagram below, points, C, and D, are on circle. What is the measure of DC? 2. In the diagram below, point D and point F are on circle G. Write an expression that describes the length of minor arc DF. 3. In the diagram below, M is the midpoint of chord on circle, 16 centimeters, and M 15 centimeters. What is the radius of circle? 4. Circle the correct term used to describe the line segment shown in the picture below of circle P. P secant radius chord tangent diameter 5. Fill in the lank: regular polygon has congruent and congruent. 6. Consider a regular nonagon. a) What is the sum of the interior angles? b) What is the measure of one interior angle? c) What is the sum of the exterior angles? d) What is the measure of one exterior angle?
5 Quiz (Note: Figures are not drawn to scale.) 1. Circle L is shown below. What is the measure of KPM? 2. In circle shown in the diagram below, is a diameter, and 3 feet. Leave your answer in terms of pi. What is the length of? 3. Fill in the lank: Identify the word that best describes each line or line segment listed. (Use each word once.) D C l secant radius chord tangent diameter DC DC Line l 4. Write the formula to determine the sum of the interior angles of an n-sided polygon. 5. Consider a regular pentagon. a) What is the sum of the interior angles? b) What is the measure of one interior angle? c) What is the sum of the exterior angles? d) What is the measure of one exterior angle?
6 NSWERS Review 1 nswers 1. central secant 4. 9 nonagon 6 hexagon 5 pentagon 3 triangle 10 decagon 8 octagon , 3 triangles, Review 2 nswers 1. inscribed chord 4. 4 quadrilateral 7 heptagon 12 dodecagon 8 octagon 5 pentagon 9 nonagon , 4 triangles, Review 3 nswers inches inches 4. tangent 5. Number of Sides Name of Polygon 3 triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon 1440 Sum of the Measures of the Interior ngles 6. n 2180
7 Review 4 nswers x centimeters 4. diameter 5. sides, angles 6. a) 1260 b) 140 c) 360 d) 40 Quiz nswers feet 3. DC secant DC chord diameter Line l tangent radius 4. n a) 540 b) 108 c) 360 d) 72
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