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AABC acute angle altitude Analysis angles are equal angles equal Axiom base bisects called central angle chord circle coincide common complete proof congruent congruent triangles construction contains Corollary corresponding angles corresponding sides diagonals divide Draw drawn equal respectively Exercises exterior angle extremes facts falls feet figure Find geometric give given given point hypotenuse Hypothesis included angle included side inscribed intercepted intersecting isosceles triangle joining length locus mean measured meet mid-point number of degrees one-half opposite opposite sides parallel lines parallelogram passes perpendicular perpendicular bisector placed polygon Postulate proof Proof of Theorem proportional prove pupil quadrilateral radius ratios rectangle right angle right triangle satisfy segments Show shown similar square straight angle straight line tangent Theorem third three sides transversal triangles ABC triangles are congruent triangles congruent true vertex vertical angle
Page 35 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Page 36 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 6 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.
Page 24 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 25 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page 14 - Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other.
Page 53 - To measure a quantity is to find how many times it contains another quantity of the same kind, called a unit of measurement.
Page 35 - If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, show that a parallelogram is formed whose perimeter is equal to the sum of the equal sides of the triangle.