Congruence/Symmetry
Regular polygons are figures that have at least 1...
line of symmetry.
"Distance Inside a 2-dimensional figure" is another way to describe the....
Area
What is the definition of perimeter?
Distance Around a 2-dimensional figure.
WILSON DOUBLE (two questions double the points)
If the radius of a circle is the distance between (8,1) and (14,1), what is the circumference in ft.?
What is the diameter in ft.?
12(pi) ft.
12 ft.
What shape has exactly 3 congruent sides?
Equilateral triangle
When a line/line segment/ray is perpendicular to another line/line segment/ray, the angle that forms is...
90 degrees.
What is the area of a triangle that is 10 m in height and a base that is 4 times the height?
200 m2
Atriangle = (1/2)(10)(10*4)
= (1/2)(10)(40)
What is the perimeter of a rectangle with a width of 4 ft. and a length that is three times the width?
32 ft. =
4 + 3(4) + 4 + 3(4)
Mr. WILSON DOUBLE! (2 questions, double the points)
What is the formula for the circumference of a semicircle?
What is the circumference of a semicircle with a diameter of 8 m?
[(pi)(diameter)]/2 or [2(pi)r]/2
8(pi) m
What shape has exactly 4 sides, opposite sides are parallel, all angles are 90 degrees, and opposite sides are NOT congruent?
Rectangle
Mr WILSON DOUBLE! (2 questions, double the points)
Rectangle DEFG is congruent to ZXVN.
1.What line segments are congruent to ZN?
2. What line segments are not congruent to ZN?
Line Segment DG, EF, XV
Line segments DE, FG, ZX, NV
What is the area of a parallelogram that has a base of 8 cm and a height of 12 cm?
96 cm2
AParallelogram = B * h
What is the perimeter of a regular pentagon that has a side that is 10 m long?
50 meters
regular polygon - atleast 1 line of symmetry, all line segments are congruent.
10 +10+10+10+10 = 50
What is the fractional version of pi that is allowed in Mr. Wilson's class for calculations with circles?
22/7
What shape has exactly 4 congruent sides and exactly 4 congruent angles?
Square
Angles in two congruent figures that have the corresponding vertices are...
congruent angles.
If the height of a figure is the distance between (5,4) and (5,10), and the base is 8 units, what is the area of the triangle in inches?
What is the area of a square that has the sides that are the same length as the base in meters?
24 square inches (triangle)
Atriangle = (1/2)(8)(10-4)
64 square meters (square)
Asquare= (8m)(8m)
If the area of a square is 9 cm2, what is the perimeter?
12 cm.
3+3+3+3 = 12
What is the area of a circle with a diameter of 10 ft.?
25(pi) ft2
What shape has absolutely no vertices?
Circle
ABCD and LMNO are congruent quadrilaterals. What is the angle that is congruent to angle B?
Angle M
What is the are of a figure composed of a square with sides that are 4 ft., a rectangle that is 5 ft. wide and 7 ft long, and another square that has a side that is 3 ft.?
60 ft.2 =
16 ft.2 +35 ft.2 + 9 ft.2 = 60 ft.2
What is the perimeter of a square with sides that are 4.25 ft. long?
17 ft. =
4.25 + 4.25 + 4.25 + 4.25
What is the total area of a full circle and a semicircle that both each have a diameter of 8 ft.?
Remember Radius is HALF of diameter.
Acircle = (pi)(radius)2 = (pi)(4)2 = 16(pi) ft.2
Asemicircle = [(pi)(radius)2]/2 = 16(pi)/2 = 8(pi) ft.2
Acircle + Asemicircle = 24(pi) ft2
What shape has exactly 1 set of parallel lines?
Trapezoid