O The X on the railroad sign is formed by two intersecting stripes that create 4 congruent areas, seen here in yellow. Two of which of the following could also intersect to cut into 4 congruent areas? R R O Diameters O Tangents O Arcs O Radii Submit Answer DELL 9 100 O ✓ INT

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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**Mathematics and Geometry: Understanding Congruent Areas**

*Educational Exercise*

The X on the railroad sign is formed by two intersecting stripes that create 4 congruent areas, seen here in yellow. Two of which of the following could also intersect to cut a circle into 4 congruent areas?

- Tangents
- Radii
- Diameters
- Arcs

**Explanation of Diagram:**

The image shows a classic railroad crossing sign, which is depicted as a yellow circle with a black X intersecting through its center, dividing it into four congruent sections. The letters "R" appear on either side of the intersecting lines within the circle, indicating "Railroad."

**Answer Choices:**

- *Tangents:* Lines that touch the circle at exactly one point but do not intersect the circle.
- *Radii:* Lines that extend from the center of the circle to any point on the circumference.
- *Diameters:* Straight lines that pass through the center of the circle, dividing it into two equal parts.
- *Arcs:* Curved lines that are part of the circle's circumference. 

**Hint for Students:**

Think about which of these options can create equal sections when crossed or intersected within the circle.

[Submit Answer]

By engaging with this question, students will learn to identify and understand the properties of different geometric elements that intersect a circle and how they can create congruent areas.
Transcribed Image Text:**Mathematics and Geometry: Understanding Congruent Areas** *Educational Exercise* The X on the railroad sign is formed by two intersecting stripes that create 4 congruent areas, seen here in yellow. Two of which of the following could also intersect to cut a circle into 4 congruent areas? - Tangents - Radii - Diameters - Arcs **Explanation of Diagram:** The image shows a classic railroad crossing sign, which is depicted as a yellow circle with a black X intersecting through its center, dividing it into four congruent sections. The letters "R" appear on either side of the intersecting lines within the circle, indicating "Railroad." **Answer Choices:** - *Tangents:* Lines that touch the circle at exactly one point but do not intersect the circle. - *Radii:* Lines that extend from the center of the circle to any point on the circumference. - *Diameters:* Straight lines that pass through the center of the circle, dividing it into two equal parts. - *Arcs:* Curved lines that are part of the circle's circumference. **Hint for Students:** Think about which of these options can create equal sections when crossed or intersected within the circle. [Submit Answer] By engaging with this question, students will learn to identify and understand the properties of different geometric elements that intersect a circle and how they can create congruent areas.
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