Based on the intersection of two lines shown, which of the following statements is true?

Prepare for the CTCE Early Childhood Education Certification Exam with flashcards and multiple choice questions, each featuring hints and explanations. Get ready for your exam and excel!

The statement that the measure of angle A equals the measure of angle C is true because angles A and C are corresponding angles created by the intersection of two lines. When two lines intersect, they form pairs of angles that have specific relationships. In particular, when angles are located at opposite ends of the intersection but on the same side of the transversal (if considered), they tend to be equal in measure.

This property is fundamental in geometry and is useful for identifying relationships between angles in various geometric configurations. If angle A and angle C are indeed corresponding angles from the intersection, their measures will be identical, affirming that this statement is accurate.

In contrast, the accuracy of the other statements cannot confidently be assessed without additional information or measurements from the diagram. However, they do not reflect the fundamental properties of angles created by intersecting lines in the same clear manner as the relationship between angle A and angle C.

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