Triangles
Find the value of y. Then classify the triangle by its angle measures.
Angles: y, (7y+5) and 23 degrees
y=19
Obtuse Triangle
Tell whether the figure is a polygon. If it is, classify it. If not, explain why.
(10.2ex)
The figure is a 6-sided polygon. So, it is a hexabon. It is convex and regular.
Find the area of a trapezoid with bases 3 and 7cm and height 1.5cm.
7.5 square centimeters
Find the area of a circle with radius 9in and use 3.14 for pi.
254 sq. in.
Draw a 3-4-5 right triangle with half circles coming off each side. What is the relationship among the areas of the 3 half circles?
The sum of the areas of the half circles on the legs equals the area of the half circle on the hypotenuse. Kind of like the pythagorean theorem.
Find the value of y. Then classify the triangle by its angle measures.
Angles: y, (4y-6) and 66 degrees
y=24
Right Triangle
Tell whether the figure is a polygon. If it is, classify it. If not, explain why.
(10.2 #8 pg. 565)
Yes; concave octagon
Find the area of a parallelogram with base 3in and height 2in
6 inches squared
The diameter of a circle is 16 inches. Find the circumference and area of the circle. Round your answers to the nearest whole number.
C=50 inches
A=201 inches squared
Evaluate the expression: 64 / 16 + 6 / 2
7
Find the value of y. Then classify the triangle by its angle measures.
Angles: y, (0.5y-3) and 48 degrees
y=90
Right Triangle
Tell whether the figure is a polygon. If it is, classify it. If not, explain why.
10.2 #9
Yes; square
250 square feet
Find the circumference of a circle with radius 22mm.
44(pi) mm = 138.16 mm
Find the slope of the line through the given points: (6, 1) and (3, 4)
-1
Find the value of y. Then classify the triangle by its angle measures.
Angles: y, (8y+3) and 33 degrees
y=16
Obtuse Triangle
Tell whether the figure is a polygon. If it is, classify it. If not, explain why.
10.2 #10
No; it has curved sides
Find the area of a trapezoid with bases 4m and 6m and height 2m
10 meters squared
Use 3.14 or 22/7 for pi. Round to the nearest whole number.
Find the area of a circle with diameter 14 ft.
154 sq. ft.
Solve the linear system by graphing.
y=x-5
y=2x+1
(-6, -11)
Describe and correct the error in finding the value of x for the triangle.
Angles: 2x, x, 90
Work:
x+2x=180
3x=180
x=60
The measure of the right angle was omitted. The correct equation and solution are:
x+2x+90=180
3x=90
x=30
Tell whether the figure is a polygon: circle and semi-circle
No; it is a circle (or part of a circle) which is curved.
A wing of each aircraft described has the shape of a trapezoid. Find the area of the wing.
1. F-18: Bases 6ft and 15ft, height 13 ft.
2. Boeing 747: Bases 13.3ft and 54.3 ft, height 81.3 ft.
1. 136.5 sq. ft.
2. 2,747.94 sq. ft.
Draw a rectangle that is 6 units by 5 units. Draw a half circle with a radius of 3 units on a longer side of the rectangle. Find the area of the figure to the nearest whole number.
44 square units
30, 45, and 105 degrees
Obtuse