Name: ______Date: ______Hr: ______

Unit 2 Angle Pair Relationships

1. (A) Measure the angles in the diagrams below with a protractor and fill in their values in the appropriate blank.

mÐ1 = ______mÐ2 = ______

mÐ3 = ______mÐ4 = ______

mÐ5 = ______mÐ6 = ______

(B) What should mÐ1 and mÐ2 add up to? Why? Do they add up to what they should?

(C) What do you notice about the values of mÐ2 and mÐ4? Does this same pattern appear with mÐ1 and mÐ3? Explain.

(D) What should mÐ5 and mÐ6 add up to? Why? Do they add up to what they should?

2. (A) Vertical Angles are angles like Ð2 and Ð4 in the diagram above. They are right across from each other when two lines meet. Name another pair of vertical angles from the diagram above.

(B) Draw your own two lines that intersect each other below. Label the 4 small angles made as Ð7, Ð8, Ð9, and Ð10. Measure these angles and fill in the measurements below.

mÐ7 = ______mÐ8 = ______

mÐ9 = ______mÐ10 = ______

(C) Name a pair of vertical angles from your drawing. What do you notice about the size of these?

3. (A) Supplementary Angles are two angles that add together to total 180°. In other words, they are two angles that add up to make a straight line. Name TWO pairs of supplementary angles in the diagram you drew for #2.

(B) Complementary Angles are two angles that add together to total 90°. In other words, they are two angles that add up to make a right angle. Name the ONE pair of complementary angles that appears on the front page.

4. Use the diagram at right to answer the following questions.

(A) Identify a pair of complementary angles. ______

(B) Identify two pairs of supplementary angles. ______

(C) Identify two pairs of vertical angles. ______

(D) Decide whether each of the following statements about the angles shown in the diagram is TRUE or FALSE.

____(i) Ð1 + Ð2 = 90º ____(ii) Ð5 = 90º

____(iii) Ð7 = Ð9 ____(iv) Ð6 = Ð9

(E) If Ð7 = 50º, then what is the measure of Ð8?_____

What is the measure of Ð9? _____

5. Plot the points given on the graph paper. Then decide whether each angle listed would be acute, right, obtuse, or straight.

A(-2, 4) B(-5, 1) C (0,0) D(3, 0)

(A)  ÐACD ______

(B)  ÐBCD ______

(C)  ÐACB ______