1.6 Worksheet

For #1-6, determine if the figure is a polygon, and if it is, tell whether it is convex or concave.

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Yes, a polygon

No, not a polygon

Convex

Concave

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Yes, a polygon

No, not a polygon

Convex

Concave

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Yes, a polygon

No, not a polygon

Convex

Concave

1

Yes, a polygon

No, not a polygon

Convex

Concave

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Yes, a polygon

No, not a polygon

Convex

Concave

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Yes, a polygon

No, not a polygon

Convex

Concave

For #7-9, determine if the polygon is equilateral, equiangular, or regular. Then classify it by its number of sides. Write your answer as two words. Ex: regular hexagon

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The rest of this worksheet follows the 1.6 Crossnumber. Each question will have a number and either Across or Down to match the Crossnumber

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1 Across: The number of sides in a decagon

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2 Across: The measure of each interior angle of a regular quadrilateral is?

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3 Across: The measure of one exterior angle of a regular pentagon.

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4 Across: If the sum of the interior angle of a regular polygon is 3780^o, how many sides does it have?

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6 Across: The angles of a triangle have measures 100^o, 49^o, and __________?

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8 Across: The measures of the interior angles of a quadrilateral are 51^o, 134^o, 114^o, and _________?

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10 Across: If the sum of the interior angles of a regular polygon is 3420^o, how many sides does it have?

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11 Across: The exterior angles of a nonagon measure 14^o, 19^o, 22^o, 36^o, 41^o, 53^o, 57^o, and 68^o. What is the measure of the ninth angle?

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12 Across: The measure of each exterior angle of an octagon is?

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15 Across: The sum of the exterior angles of a dodecagon?

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17 Across: Find x. Then multiply the answer by 3.

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21 Across: The sum of the measures of the interior angle of a convex polygon is 8640^o. Find the number of sides.

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22 Across: Each exterior angle of a regular decagon has measure ________?

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23 Across: Find x.

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1 Down: An interior angle of a polygon has measure 57^o. The adjacent exterior angle is?

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2 Down: Find x. Then plug x into 10x + 36.

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5 Down: Four angles of a pentagon are 123^o, 48^o, 67^o, and 138^o. The other angle is?

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7 Down: Each interior angle of a regular polygon has measure 150^o, how many sides does the polygon have?

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9 Down: If each interior angle of a regular polygon has measure 156^o, how many sides does the polygon have?

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13 Down: The angles of a quadrilateral have measures x, 2x + 5, x - 6, and 3x - 10. Find x.

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14 Down: Find x.

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16 Down: The measure of an exterior angle of a regular hexagon is?

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18 Down: The sum of the interior angles of a heptagon is?

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19 Down: Find x.

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1.6 Worksheet

1 Across: The number of sides in a decagon

2 Across: The measure of each interior angle of a regular quadrilateral is?

3 Across: The measure of one exterior angle of a regular pentagon.

4 Across: If the sum of the interior angle of a regular polygon is 3780o, how many sides does it have?

6 Across: The angles of a triangle have measures 100o, 49o, and __________?

8 Across: The measures of the interior angles of a quadrilateral are 51o, 134o, 114o, and _________?

10 Across: If the sum of the interior angles of a regular polygon is 3420o, how many sides does it have?

11 Across: The exterior angles of a nonagon measure 14o, 19o, 22o, 36o, 41o, 53o, 57o, and 68o. What is the measure of the ninth angle?

12 Across: The measure of each exterior angle of an octagon is?

15 Across: The sum of the exterior angles of a dodecagon?

17 Across: Find x. Then multiply the answer by 3.

21 Across: The sum of the measures of the interior angle of a convex polygon is 8640o. Find the number of sides.

22 Across: Each exterior angle of a regular decagon has measure ________?

23 Across: Find x.

1 Down: An interior angle of a polygon has measure 57o. The adjacent exterior angle is?

2 Down: Find x. Then plug x into 10x + 36.

5 Down: Four angles of a pentagon are 123o, 48o, 67o, and 138o. The other angle is?

7 Down: Each interior angle of a regular polygon has measure 150o, how many sides does the polygon have?

9 Down: If each interior angle of a regular polygon has measure 156o, how many sides does the polygon have?

13 Down: The angles of a quadrilateral have measures x, 2x + 5, x - 6, and 3x - 10. Find x.

14 Down: Find x.

16 Down: The measure of an exterior angle of a regular hexagon is?

18 Down: The sum of the interior angles of a heptagon is?

19 Down: Find x.

20 Down: Find the number of sides of a regular polygon if each exterior angle has a measure of 22.5o.

1 Across: The number of sides in a decagon

2 Across: The measure of each interior angle of a regular quadrilateral is?

3 Across: The measure of one exterior angle of a regular pentagon.

4 Across: If the sum of the interior angle of a regular polygon is 3780o, how many sides does it have?

6 Across: The angles of a triangle have measures 100o, 49o, and __________?

8 Across: The measures of the interior angles of a quadrilateral are 51o, 134o, 114o, and _________?

10 Across: If the sum of the interior angles of a regular polygon is 3420o, how many sides does it have?

11 Across: The exterior angles of a nonagon measure 14o, 19o, 22o, 36o, 41o, 53o, 57o, and 68o. What is the measure of the ninth angle?

12 Across: The measure of each exterior angle of an octagon is?

15 Across: The sum of the exterior angles of a dodecagon?

17 Across: Find x. Then multiply the answer by 3.

21 Across: The sum of the measures of the interior angle of a convex polygon is 8640o. Find the number of sides.

22 Across: Each exterior angle of a regular decagon has measure ________?

23 Across: Find x.

1 Down: An interior angle of a polygon has measure 57o. The adjacent exterior angle is?

2 Down: Find x. Then plug x into 10x + 36.

5 Down: Four angles of a pentagon are 123o, 48o, 67o, and 138o. The other angle is?

7 Down: Each interior angle of a regular polygon has measure 150o, how many sides does the polygon have?

9 Down: If each interior angle of a regular polygon has measure 156o, how many sides does the polygon have?

13 Down: The angles of a quadrilateral have measures x, 2x + 5, x - 6, and 3x - 10. Find x.

14 Down: Find x.

16 Down: The measure of an exterior angle of a regular hexagon is?

18 Down: The sum of the interior angles of a heptagon is?

19 Down: Find x.

20 Down: Find the number of sides of a regular polygon if each exterior angle has a measure of 22.5o.

4 Across: If the sum of the interior angle of a regular polygon is 3780^o, how many sides does it have?

6 Across: The angles of a triangle have measures 100^o, 49^o, and __________?

8 Across: The measures of the interior angles of a quadrilateral are 51^o, 134^o, 114^o, and _________?

10 Across: If the sum of the interior angles of a regular polygon is 3420^o, how many sides does it have?

11 Across: The exterior angles of a nonagon measure 14^o, 19^o, 22^o, 36^o, 41^o, 53^o, 57^o, and 68^o. What is the measure of the ninth angle?

21 Across: The sum of the measures of the interior angle of a convex polygon is 8640^o. Find the number of sides.

1 Down: An interior angle of a polygon has measure 57^o. The adjacent exterior angle is?

5 Down: Four angles of a pentagon are 123^o, 48^o, 67^o, and 138^o. The other angle is?

7 Down: Each interior angle of a regular polygon has measure 150^o, how many sides does the polygon have?

9 Down: If each interior angle of a regular polygon has measure 156^o, how many sides does the polygon have?

20 Down: Find the number of sides of a regular polygon if each exterior angle has a measure of 22.5^o.

4 Across: If the sum of the interior angle of a regular polygon is 3780^o, how many sides does it have?

6 Across: The angles of a triangle have measures 100^o, 49^o, and __________?

8 Across: The measures of the interior angles of a quadrilateral are 51^o, 134^o, 114^o, and _________?

10 Across: If the sum of the interior angles of a regular polygon is 3420^o, how many sides does it have?

11 Across: The exterior angles of a nonagon measure 14^o, 19^o, 22^o, 36^o, 41^o, 53^o, 57^o, and 68^o. What is the measure of the ninth angle?

21 Across: The sum of the measures of the interior angle of a convex polygon is 8640^o. Find the number of sides.

1 Down: An interior angle of a polygon has measure 57^o. The adjacent exterior angle is?

5 Down: Four angles of a pentagon are 123^o, 48^o, 67^o, and 138^o. The other angle is?

7 Down: Each interior angle of a regular polygon has measure 150^o, how many sides does the polygon have?

9 Down: If each interior angle of a regular polygon has measure 156^o, how many sides does the polygon have?

20 Down: Find the number of sides of a regular polygon if each exterior angle has a measure of 22.5^o.