Lesson 5 Circular Reasoning Practice Understanding
Determine the angles of rotational symmetry and the number of lines of reflective symmetry for each of the polygons below.
1.
Equilateral Triangle
2.
Rectangle
3.
Rhombus
4.
Regular Hexagon
5.
Square
6.
Regular Decagon
Solve each right triangle by finding the missing angles and sides.
7.
8.
9.
10.
Use Circle K for problems 11–13.
11.
Given:
a.
Find
b.
Find
c.
Find
d.
Find
12.
a.
What type of triangle is
b.
Identify another triangle formed by two radii.
13.
Given:
a.
Find
b.
Find
c.
Find
d.
Find
e.
Find
Use the figure for problems 14–16.
14.
Identify the right angles in
15.
Identify four inscribed angles with the same measure. How do you know?
16.
Given:
a.
Find
b.
Find
c.
Find
d.
Find
e.
Find
Find the indicated distances and areas.
17.
a.
Find the distance to walk along arc
b.
Find the area inside one of the four sectors.
c.
Find the distance to walk along the following path: Start at point
18.
a.
Find the distance to walk along arc
b.
Find the area inside one of the six sectors.
c.
Find the distance to walk along the following path: Start at point