Chords, Secants, and Tangents
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- Chords, secants, and tangents are fundamental towards the understanding and identification of circles. Once you have a comprehensive understanding of these terms, you will be ab…
By Elise Molinaro, Alex Federspiel, Victor Wang
- When studying Geometry it is important to know the properties of the different shapes and figures that you may be studying. In this case we will discuss the properties of a circ…
By Victoria Rodriguez, arsenii, Victor Wang
- Here's a great video reviewing the major properties of secants and chords:
By Liza Sulkin
- Here's a somewhat unusual worked example of typical secant and tangent problems:
By Liza Sulkin
Problems 21
- What/which line(s) is/are tangent to circle BBB?
- Consider the pepperoni pizza above. Find a chord represented in the picture.
- What do the two black lines represent in the railroad crossing sign above?
- What does xy‾\overline{xy}xy represent?
- A diameter is a specific type of _______ that contains the center of the circle in the segment.
- Find x\color{blue}{x}x.
- Sometimes when the moon orbits Earth, it moves between the sun and Earth. When this happens, the moon blocks the light of the sun from reaching Earth. This causes an eclipse of …
- Is zyzyzy a tangent?
- Label the circle above.
- Which of the following intersect(s) with the circle at exactly one point?
- Which of the following intersect(s) with the circle at exactly two points?
- If you extend a chord infinitely in both directions, what does it become?
- What angle does a tangent line form to the radius of a circle at the point of tangency?
- In congruent circles, any two chords are also congruent when...
- Suppose the diameter of a circle is perpendicular to a chord of the circle. This implies that...
- If a line is perpendicular to the radius of a circle that meets it at the point where it intersects the circle, then that line is a...
- If two circles have similar minor arcs, this implies that...
- If a chord is the perpendicular bisector of another chord in the same circle, then...
- If two segments start from the same external point and end at different points on the circle, then...
- If the angle formed by two intersecting chords is also a central angle, then...
- If a batch of these desserts are made with dough circles 333" in diameter, what is the largest hamantash cookie that can be made? Assume every cookie is a perfect equilateral pa…