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Name: ___________________________ Date: _________ Score: _________
U
w
1. Using the above diagram, which two angles are complementary?
(a) < DEB & < DEW (b) < ABC & < CBY (c) < UBA & < CBA (d) < FGY & < DEB
2. Using the above diagram, which two angles supplementary?
(a) < DEW & < WEB (b) < FGE & < GEW (c) < DEW & < WEG (d) YGE & < BED
3. Which lines are parallel?
(a) ZT & FD (b) CS & AX (c) CS & TZ (d) BU & CB
4. Which of the following is an interior angle of
(a) < ABU (b) < CBA (c) < BEG (d) < DEW
5. Which of the following is an exterior angle of
(a) < EGT (b) < GYB (c) < GEB (d) < BYG
?
?
6. What is the measure of it’s complement if you have an acute angle that measures 45°?
(a) 45 (b) 90 (c) 135 (d) 180
7. All angles of a rectangle are (a) acute
(b) right
(c) obtuse
(d) complementary
8.
Draw a right triangle? Measure each of its angles. Which can not be a measure of an
angle?
(a) 30 (b) 60 (c) 90 (d) 135
9.
Which polygon always has 4 congruent sides?
(a) parallelogram (b) rhombus (c) right triangle
10. What is the sum of the interior angles of a nonagon?
(a) 720° (b) 1,260° (c) 900° (d) 1,080°
11. A kite has _____ pairs of congruent sides.
(a) 1 (b) 2 (c) 3 (d) 4
(d) trapezoid
12. What is the sum of the measures of the interior angles of a pentagon?
(a) 90 (b) 180 (c) 360 (d) 540 degrees
13. Jacob draws a hexagon. The sum of the measures of 4 of the interior angels is 510°.
What is the measure of each of the other 2 congruent angles?
(a) 105° (b) 210° (c) 360°
(d) 720°
14. The sum of the interior angles equals 1,080° degrees in which polygon?
(a) hexagon (b) octagon (c) pentagon (d) heptagon
15. In which polygon are the diagonals congruent?
(a) parallelograms (b) rectangles
(c) rhombuses
(d) right trapezoids
16. Which polygon always has perpendicular diagonals?
(a) triangle (b) rectangle (c) square (d) parallelogram
17. How many diagonals does a nonagon have?
(a) 14 (b) 40 (c) 20 (d) 27
18. How many diagonals extend from each angle of a decagon?
(a) 8 (b) 10 (c) 7 (d) 35
19. If you have a triangle with two angle measures of 45°, what type of triangle do you have?
(a) acute scalene (b) obtuse isosceles (c) right isosceles (d) acute equilateral
20. If you have a quadrilateral with three angle measures of 104°, 104° & 135°, what is the
missing angle measure?
(a) 90° (b) 135° (c) 47° (d) none of the above
21. A pentagon has 2 angles that measure 145° and 74° degrees. If the other angles are all
congruent, what is the measure of each?
(a) 107° (b) 219° (c) 321° (d) 540°
22. If a regular octagon has a perimeter of 200 centimeters, what is the measure of each
side? (a) 8 cm. (b) 25 cm. (c) 180 cm. (d) 1080 cm.
23. A rhombus has one angle that measures 45°. Which answer is a measure of one of the
other 3 angles?(a) 360° (b) 270° (c) 135° (d) 90°
24. Rhombus ABCD has a perimeter of 40 inches. The diagonals AC and BD measure 12 and
16 inches and intersect at point E. What is the perimeter of triangle AED?
(a) 24 (b) 32 (c) 36 (d) 40 inches
25. An upside down capital T is the symbol for ______ sides.
(a) adjacent (b) opposite (c) parallel (d) perpendicular
26. Opposite sides of a rhombus are ______.
(a) intersecting (b) diagonal (c) perpendicular
(d) parallel
27. Which polygon has 5 diagonals extending from each angle?
(a) pentagon (b) octagon (c) nonagon (d) septagon
28. How many triangles can a decagon be triangulated into?
(a) 10 (b) 7 (c) 8 (d) 20
29. What would the angle measures of a REGULAR nonagon be?
(a) 108° (b) 140° (c) 128° (d) 135°
30. What is the supplement of an angle with a measure of 72°?
(a) 18° (b) 90° (c) 180° (d) 108°
Extra Credit:
1. A rhombus has one angle that measures 45°. What are the measures of the remaining angles?
____________ _____________
___________If its perimeter is 80 yards, what is the length of a
side? ___________________
2. The sum of the measures of two adjacent sides and one diagonal in a rhombus equals 24 inches. When
will the sum of the measures of the other sides and the other diagonal be 24 inches? Explain
_____________________________________
_____________________________________________________________________________________
______________
3. An isosceles triangle has a perimeter of 78 cm and one side measures 28 cm. How many different
triangles could have a perimeter of 78cm? __________________________ Give the dimensions of each.
_______________________________
__________________________ ________________________
____________________________________________
4. Rhombus ABCD has a perimeter of 40 inches. The diagonals AC and BD measure 12 inches and 16
inches and intersect at a point E. What is the perimeter of triangle AED and triangle ABC?
_________________________
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