Download Special Angle Pairs Activity

Special Angles
Pre/Post-lesson Assessment
Name: ________________________
I. For each of the following, indicate whether each pair are “Complementary Angles,” “Supplementary
Angles,” “Vertical Angles,” and/or “Adjacent Angles.”
Circle the correct answer(s).
80°
1
2
100°
Complementary Angles
Complementary Angles
Supplementary Angles
Supplementary Angles
Vertical Angles
Vertical Angles
Adjacent Angles
Adjacent Angles
Linear Pair
45
1
45
2
Vertical Angles
Vertical Angles
Complementary Angles
Complementary Angles
Alternate Interior Angles
Alternate Interior Angles
Adjacent Angles
Adjacent Angles
Corresponding Angles
Corresponding Angles
90°
1
90°
2
Complementary Angles
Complementary Angles
Supplementary Angles
Supplementary Angles
Vertical Angles
Vertical Angles
Adjacent Angles
Adjacent Angles
Linear Pair
Linear Pair
45°
50°
45°
40°
Complementary Angles
Complementary Angles
Supplementary Angles
Supplementary Angles
Vertical Angles
Vertical Angles
Adjacent Angles
Adjacent Angles
II.
The measure of < 1 is x + 5, and the measure of < 2 is x – 9.
A) Indicate whether < 1 and < 2 are “Complementary Angles,” “Supplementary Angles,” “Vertical
Angles,” and/or “Adjacent Angles.”
B) Find the value of x.
C) Find the measure of < 1 and < 2 based on your value of x.
III.
Suppose <ABC is bisected by ray BD. The measure of <ABD is 6x – 22 , and the measure of <
CBD is 2x + 34.
A) Draw and label a diagram using the information above.
B) Find the value of x.
C) Find the measure of <ABD, <CBD, and <ABC.
Special Angle Pairs Activity
Materials Needed:
Right triangle tessellated page (1/2 sheet is big enough)
Copy of triangle on cardstock that matches the right triangle on the tessellated page (each angle is colored a
different color)
Wax paper or patty paper
Colored pencils
Directions:
1. Have students work in pairs to color the three angles of each triangle on the tessellated page to
match the cardstock triangle.
2.
Have students place patty paper over a portion of the tessellated page to find, draw, and write a
description for each of the following concepts.
a.
b.
c.
d.
e.
f.
3.
The sum of the angles in a triangle is 180 degrees.
Vertical angles are congruent.
If two parallel lines are cut by a transversal, corresponding angles are congruent.
If two parallel lines are cut by a transversal, alternate interior angles are congruent.
If two parallel lines are cut by a transversal, same side interior angles are supplementary.
The sum of the angles in a linear pair is 180 degrees.
Have students find other relationships that exist based on colors within the tessellated page.
Examples include: 360 degrees in a rotation, 360 degrees in a quadrilateral, characteristics of
congruent and similar triangles, complementary angles, and supplementary angles.
Activity Extension:
Tell if each statement is always, sometimes, or never true. Justify your reasoning.
1.
Two angles that are complementary are also adjacent.
2.
Vertical angles are also a linear pair.
3.
Angles that form a linear pair are supplementary.
4.
Alternate interior angles are congruent.
5.
Same side interior angles are congruent.
Solve each problem using the given diagrams.
6.
1
2
If the measure of < 1 is 3x + 2 and the measure of < 2 is 2x + 3, find the value of x.
Find the measure of < 1 and < 2.
Determine if the pair of angles are vertical, adjacent, complementary, supplementary, alternate
interior, alternate exterior, corresponding, or if they form a linear pair. Justify your reasoning.
7.
1
2
If the measure of < 1 is 2x + 5 and the measure of < 2 is 3x – 15, then find the value of x.
Find the measure of < 1 and < 2.
Determine if the pair of angles are vertical, adjacent, complementary, supplementary, alternate
interior, alternate exterior, corresponding, or if they form a linear pair. Justify your reasoning.
Card-Sort Activity- Group the cards based on shared characteristics. Share with your
partner how you decided to group them.
Supplementa Complement Linear Pair
ry
ary
Angles
Angles
Vertical
Angles
Two 45
degree
Angles
Two 90
degree
angles
Alternate
Interior
Same-Side
Interior
Alternate
Exterior
Correspond <1 and <5
ing
Angles
< 1 and the 76 degree
<
< 6 and <7
<4 and <6
<2 and the 130
degree <
<2 and <1
<1 and <3
<2 and <D