## Plane Geometry |

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### Common terms and phrases

ABC and A'B'C acute angle adjacent angles altitude angles are equal arc A'B base bisects called central angle chord circumference circumscribed congruent construct Corollary curve diagonal diameter distance divide drawn equal angles equilateral triangle exact number exterior figure Find the area Find the length Geometry given angle given circle given line given point HINT hypotenuse included angle interior angles intersection isosceles triangle line joining locus mean proportional measured median middle point number of sides obtuse angle Outline of proof parallel lines parallelogram perimeter portions Problem protractor prove quadrilateral radii radius ratio rectangle regular hexagon regular inscribed regular polygon revolutions per minute rhombus right angle right triangle ruler and compasses secant segment side opposite squared paper straight angle straight line subtends tangent Theorem VII transversal trapezoid triangle ABC unit vertex vertices

### Popular passages

Page 162 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.

Page 134 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.

Page 146 - If two polygons are composed of the same number of triangles, similar each to each, and similarly placed, the polygons are similar.

Page 134 - The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides of the angle.

Page 127 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.

Page 133 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.

Page 49 - Only one line can be drawn through a given point parallel to a given line.

Page 100 - A line perpendicular to a radius at its extremity is tangent to the circle.

Page 67 - The perpendicular is the shortest line that can be drawn from a point to a straight line.

Page 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.