## Plane Geometry |

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### Common terms and phrases

ABCD adjacent adjoining figure altitude Analysis approach Assume base bisector bisects Book called chord circle circumscribed common Compare Conclusion congruent Construct Determine diagonals diameter distance divide Draw drawn equal equidistant equilateral triangle extended exterior angle figure Find given greater half Hence hexagon hypotenuse Hypothesis intersect isosceles triangle joining length less limit locus mean measure median meeting mid-point Note number of sides parallel parallelogram pass perimeter perpendicular Place polygon PROBLEM Proof proportional PROPOSITION Prove pupil quadrilateral radii radius ratio Recall rectangle regular regular inscribed regular polygon represent Required respectively result right angle right triangle segment sides similar square Statement straight line studied Suggestion Supplementary Exercises tangent THEOREM third trapezoid triangle unit vertex vertices

### Popular passages

Page 166 - The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.

Page 207 - The areas of two similar triangles are to each other as the squares of any two homologous sides.

Page 166 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Page 83 - If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.

Page 170 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.

Page 105 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.

Page 86 - If two triangles have two sides of one equal, respectively, to two sides of the other...

Page 204 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.

Page 299 - Prove that an equiangular polygon inscribed in a circle is regular if the number of sides is odd. Ex.

Page 194 - Two rectangles are to each other as the products of their bases and altitudes. For if R = a6, and R