Name all of the angles that are congruent to in the figure below. At the intersection of the right vertical line and transversal: Angle A is upper right, angle B is lower right, angle C is upper left, and angle D is lower left. At the intersection of the left vertical line and transversal: Angle E is upper right, angle F is lower right, angle G is upper left, and angle H is lower left. (1 point) Responses
Angle C , Angle F and Angle G
Angle D, Angle E and Angle H
Angle D , Angle F and Angle H
Angel C, Angel E and Angel G
Angle C, Angle F and Angle G
The angles that are congruent in the figure are:
- Angle C and Angle F: these angles are congruent because they are corresponding angles.
- Angle D and Angle H: these angles are congruent because they are alternate interior angles.
- Angle E and Angle G: these angles are congruent because they are alternate interior angles.
To determine which angles are congruent in the figure, we can use the properties of intersecting lines and transversals.
First, at the intersection of the right vertical line and the transversal, we have angle A, angle B, angle C, and angle D.
At the intersection of the left vertical line and the transversal, we have angle E, angle F, angle G, and angle H.
To find the congruent angles, we need to look for pairs of angles that have the same measure.
Looking at the figure, we can see that angle C and angle F are vertically opposite angles. By the vertical angles theorem, vertically opposite angles are congruent.
So, we can conclude that angle C and angle F are congruent.
Therefore, the correct answer is: Angle C, Angle F, and Angle G.