To solve the problem, we need to identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. Let's analyze each figure step by step.
Key Definitions:
1.
Corresponding Angles: Angles that are in the same relative position at each intersection where a straight line crosses two others.
2.
Alternate Interior Angles: Angles that are on opposite sides of the transversal and inside the two lines.
3.
Alternate Exterior Angles: Angles that are on opposite sides of the transversal and outside the two lines.
4.
Consecutive Interior Angles: Angles that are on the same side of the transversal and inside the two lines.
Analysis of Each Figure:
####
Figure 1:
- The angles \( x \) and \( y \) are in the same relative position at each intersection.
-
Type: Corresponding Angles.
####
Figure 2:
- The angles \( x \) and \( y \) are on opposite sides of the transversal and outside the two lines.
-
Type: Alternate Exterior Angles.
####
Figure 3:
- The angles \( x \) and \( y \) are on opposite sides of the transversal and inside the two lines.
-
Type: Alternate Interior Angles.
####
Figure 4:
- The angles \( x \) and \( y \) are on the same side of the transversal and inside the two lines.
-
Type: Consecutive Interior Angles.
####
Figure 5:
- The angles \( x \) and \( y \) are in the same relative position at each intersection.
-
Type: Corresponding Angles.
####
Figure 6:
- The angles \( x \) and \( y \) are on the same side of the transversal and inside the two lines.
-
Type: Consecutive Interior Angles.
####
Figure 7:
- The angles \( x \) and \( y \) are on opposite sides of the transversal and outside the two lines.
-
Type: Alternate Exterior Angles.
####
Figure 8:
- The angles \( x \) and \( y \) are on opposite sides of the transversal and inside the two lines.
-
Type: Alternate Interior Angles.
Final Answer:
\[
\boxed{
\begin{array}{ll}
1) & \text{Corresponding Angles} \\
2) & \text{Alternate Exterior Angles} \\
3) & \text{Alternate Interior Angles} \\
4) & \text{Consecutive Interior Angles} \\
5) & \text{Corresponding Angles} \\
6) & \text{Consecutive Interior Angles} \\
7) & \text{Alternate Exterior Angles} \\
8) & \text{Alternate Interior Angles} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of angle pair worksheets.
