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Area of Polygons
Circles
Angles
Congruent Polygons
Angles of a Polygon
100
The formula for the area of a triangle.
1/2(b)(h)
100
The two formulas for circumference of a circle.
C = (pi)(d) and C = 2(pi)(r)
100
What are complementary and supplementary angles?
Complementary is the sum of two angle measures that equal 90 degrees. Supplementary is the sum of two angle measures that equal 180 degrees.
100
List the three ways of showing two triangles are congruent.
SSS: Side-Side-Side ASA: Angle-Side-Angle SAS: Side-Angle-Side
100
What is the sum of the measures of the interior angles of a polygon with n sides?
180(n - 2) degrees
200
The base of a parallelogram is 8 cm and the height is 2.5 cm. Find its area.
20 square centimeters
200
The circumference of a circle is 1.71 centimeters. Find the radius and diameter. Round to the nearest hundredth.
r = 0.27;d = 0.54 centimeters
200
A right angle is divided into two angles. If the measure of the larger angle is 67 degrees, find the measure of its complement and supplement
complementary angle is 23 degrees; supplementary angle is 113
200
Can you show two triangles are congruent by Angle-Angle-Angle? Draw figures to support your answer.
no; draw two triangles that have same angle measures but different lengths
200
Find the measure of each angle of a regular polygon with 15 sides.
156 degrees
300
If the bases of a trapezoid are 8 feet and 3.5 feet and the height is 5 feet, find its area.
28.75 square feet
300
Find the area of a circle with a diameter of 22 in. Round to the nearest tenth.
380.1 square inches
300
What are adjacent angles and vertical angles.
Adjacent angles share a vertex and a side, but no interior points. Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
300
True or False: If a pair of triangles has two congruent angles and one congruent side the triangles must be congruent. (Must explain your choice.)
False. The angles are not included between the sides.
300
How many sides does a dodecagon have? What is the sum of its angle measures?
12 sides; 1800 degrees
400
A parallelogram has an area of 63 square meters. One base length is 18 meters. What is the corresponding height.
3.5 meters
400
Find the area of the circle inside a square with a length of 12 centimeters. Round to the nearest tenth.
30.9 square centimeters
400
Identify all pairs of corresponding angles in the diagram given.
angle 1, angle 6 angle 2, angle 7 angle 8, angle 4 angle 5, angle 3
400
Is triangle ABC congruent to triangle DEC? If so, explain how they are congruent. (Refer to diagram given.)
YES, ASA
400
In class, how did we find the sum of the angle measures in a polygon was (n-2)180 degrees?
We found a pattern. The number triangles formed inside the polygon was always two less than the number of sides starting with a triangle that has 180 degrees.
500
If the area of the triangle is 45 square centimeters and the base is 15 centimeters, find the height of the triangle.
6 centimeters
500
The circumference of a pool is about 63 feet. What is the area of the bottom of the pool? Round to the nearest tenth.
315.8 square feet
500
Identify all pairs of alternate interior angles in the diagram given.
angle 6, angle 3 angle 2, angle 4
500
True or False. Triangle EFH is congruent to triangle GFH by ASA. (Refer to diagram given.)
False. They are congruent by SAS.
500
The angle measures of a hexagon are 147 degrees, 80 degrees, 120 degrees, 136 degrees, and 115 degrees. Find the missing angle measure of the hexagon.
122 degrees