Name __________________
2.2 Assignment
1. Suppose that m∠A = 66°, ∠B is complementary to ∠A, and ∠C is supplementary to ∠B. What are the
measures of angles B and C?
2. The variables x and y in the figure represent the
measures of angles. Solve for x and y.
3. The variables a and b in the figure represent the
measures of angles. Solve for a and b.
4. Name all pairs of adjacent angles in the figure.
5. What is the difference between two
supplementary angles and two angles that form a
linear pair?
6. Identify each of the following in the figure.
a. Name two pairs of complementary angles.
b. Name six pairs of supplementary angles.
c. Name four pairs of angles that form linear pairs.
d. Name two pairs of vertical angles.
7. Sketch and label a figure to illustrate the Linear Pair Postulate. Then use the Linear Pair Postulate to
write a symbolic statement about the figure.
8. Use the Segment Addition Postulate to write four
different statements about the figure shown.
9. Name the postulate that tells you that
m∠FGH + m∠HGJ = m∠FGJ in the figure shown.
2.3 Assignment
1. Identify the property that justifies each statement.
̅̅̅̅ ≅ 𝑃𝑅
̅̅̅̅, then 𝐴𝐵
̅̅̅̅ ≅ 𝑆𝑇
̅̅̅̅
̅̅̅̅ and 𝑃𝑅
̅̅̅̅ ≅ 𝑆𝑇
a. If 𝐴𝐵
b. If JK = 6 centimeters and CD = 6 centimeters, then JK = CD.
c. Angle ABC is congruent to angle ABC.
d. If m∠3 = m∠1, then m∠3 + m∠2 = m∠1 + m∠2
2. Enter the reasons to complete the two-column
proof below.
3. The boxes below show the parts of a flow
chart proof. Rearrange the boxes and draw
arrows to connect the boxes in a logical sequence
to prove the statement.
4. Write a paragraph proof to prove the statement.
Given: m ∠QRS = 90°
Given: ∠RST ≅ ∠QRT
Prove: : ∠RST and : ∠TRS are complementary
5. Use a construction to prove the statement.
Given: Line ST is a perpendicular bisector of ̅̅̅̅
𝑋𝑍
Given: XV = WZ
Prove VY = YW
6. In the figure, ∠GXF ≅ ∠CXD
a. What theorem tells you that ∠𝐴𝑋𝐺 ≅ ∠𝐶𝑋𝐷?
b. What theorem tells you that ∠𝐸𝑋𝐹 ≅ ∠𝐸𝑋𝐷?
c. What theorem tells you that ∠𝐺𝑋𝐷 ≅ ∠𝐶𝑋𝐹?