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What is the name given to two lines at right angles to one another?
Perpendicular.
How is compass is useful in geometry?
Drawing circles, bisecting angles and creating perpendicular lines just to name a few
What is the locus of all points that are equidistant from 2 lines called?
Assume that all distances are measured along the appropriate perpendicular. There is no specific name for the locus since the locus can be two or one straight lines, depending upon the original two lines. If the two lines are intersecting then the locus is a pair of straight lines that bisect the two angles formed by the original lines. If the original two lines are parallel, then the locus is a line parallel to them and halfway between them.
What is the name for lines which meet and form a right angle?
They are called perpendicular.
What are angles formed by two intersecting lines and which are opposite of each other called?
All angles are formed by two intersecting lines. The pairs of angles opposite each other are called vertical angles. If two angles are vertical, they measure the exact same. Say you name the angles formed as A, B, C, and D. A and C are vertical and B and D are vertical. The angles next to each other formed by intersecting lines are supplementary, and add up to 180 degrees. That means A + B = 180 (since they are next to each other) and B+C = 180. Subtracting the first equation by the second equation gives us A + B - B - C = 180 - 180, which simplifies to A - C = 0, which further simplifies to A = C. The same can be said about B and D being equal.
