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AABC ABCD altitude Analysis and construction angle formed angles are equal bisects central angle circle tangent coincide Conclusion concurrent lines congruent circles congruent triangles corresponding sides diagonals diameter divided Draw drawn equal angles equal arcs equal ratios equal segments equilateral triangle EXERCISES INVOLVING exterior angle figure Find the area Find the locus find the number give the proof given circle given line given point given segment hypotenuse Hypothesis inscribed angle isosceles triangle length Let the pupil mean proportional measured by ½ median number of degrees number of sides opposite sides parallel parallelogram perigon perimeter perpendicular bisector Plane Geometry point equally distant proof are left pupil complete pupil give quadrilateral radii radius rectangle regular polygon rhombus right angle right triangle secant segment joining segments or angles Show similar triangles square straight line symmetry tangent THEOREM trapezoid vertex angle
Popular passages
Page 300 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30| square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.
Page 185 - The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally.
Page 187 - If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle: 1st.
Page 245 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 182 - 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.
Page 300 - LENGTH 12 inches (in.) = 1 foot (ft.) 3 feet = 1 yard (yd.) 5| yards = 1 rod (rd.) 320 rods = 1 mile (mi.) 1 mile = 1,760 yd.
Page 192 - If two right triangles have an acute angle of one equal to an acute angle of the other, the right triangles are similar.
Page 105 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Page 186 - The bisector of an exterior angle of a triangle divides the opposite side externally into segments which are proportional to the other two sides. D "'"A
Page 188 - The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: a2 + b2 = c2.