Term
| If point K is between points N and P and N,K,P are collinear then |
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Definition
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Term
| If EP is between ED and EF then |
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Definition
| The measure of angle DEP = the measure of angle FEP |
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Term
| Exterior Angle Theorem: the exterior angle of one triangle is always equal to |
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Definition
| the sum of the other two interior angles |
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Term
| If the angles of a triangle are not equal, then |
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Definition
| their sizes correspond to the side opposite to that angle |
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Term
| The Triangle Inequality Theorem says, if you add up two sides and they equal the third side then, |
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Definition
| you cannot make a triangle |
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Term
| For a triangle to exist, the sum of every pair of sides |
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Definition
| must be greater than the third side |
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Term
| The diagonals of a rectangle |
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Definition
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Term
| The diagonals of a rhombus are |
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Definition
| 1. Perpendicular 2. bisect opposite angles |
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Term
| The diagonals of a rectangle |
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Definition
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Term
| The diagonals of a rhombus: |
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Definition
| 1. are perpendicular (which means that they meet or intersect to create four right angles) 2. bisect opposite angles |
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Term
| Each pair of base angles of an isosceles trapezoid |
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Definition
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Term
| the diagonals of an isosceles trapezoid |
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Definition
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Term
| The four ways to prove that two triangles are congruent, if they are similar, are |
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Definition
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Term
| The four ways to prove angles are congruent are |
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Definition
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Term
| If a line is parallel to one side of a triangle and intersects the other two sides, then |
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Definition
| the new triangle is similar to the original triangle |
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Term
| If a line intersects two sides of a triangle so that they are cut into proportional parts then, |
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Definition
| the line is parallel to the third side |
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Term
| If three or more parallel lines intersect two transversals, then |
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Definition
| the lines divide the transversals proportionally |
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Term
| If 3 or more parallel lines cut of congruent segments on one transversal, then |
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Definition
| it cuts off congruent segments on the other transversal |
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Term
| If two triangles are similar, then |
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Definition
| the ratio of their perimeters is equal to their scale factor |
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Term
| If a line is parallel to one side of a triangle and intersects the other two sides, then |
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Definition
| the new triangle is similar to the oringinal triangle |
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Term
| If a line intersects two sides of a triangle, so that they are cut into proportional parts then, |
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Definition
| the lines is parallel to the third side |
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Term
| If three or more parallel lines intersect two transversals then, |
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Definition
| the lines divide the transversal propotionally |
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Term
| If 3 more parallel lines cut off congruent segments on one transversal then, |
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Definition
| it cuts off congruent segments on other transversals |
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Term
| If two triangles are similar then, |
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Definition
| the ratio of the triangles' perimeters is equal to the ratio of the corresponding sides |
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Term
| All radii of a circle are |
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Definition
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Term
| the measure of the diameter of a circle is twice |
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Definition
| the measure of the radius r of the circle |
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Term
| two circles are congruent, if and only if |
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Definition
| their radii are congruent |
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Term
| In a circle, the diameter is twice |
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Definition
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Term
| The degree of a minor arc is the degree measure of |
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Definition
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Term
| the degree measure of a major arc is 360 minus |
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Definition
| the degree of measure of its central angle |
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Term
| the degree measure of a semicircle is |
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Definition
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Term
| In a circle, if two arcs are congruent than, |
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Definition
| their corresponding chords are congruent (the converse is also true) |
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Term
| In a circle, if a diameter is perpendicular to a chord then |
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Definition
| 1. the diameter bisects the chord 2. the diameter bisects the arc |
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Term
| In a circle, if two chords are the same distance fromthe center than |
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Definition
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Term
| If a line is tangent to a circle at its radius than, |
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Definition
| the lines is perpendicular to the radius |
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Term
| In a circle, if two lines are tangent from the same exterior point then, |
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Definition
| their segments are congruent |
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Term
| The measure of an inscribed angle is half of |
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Definition
| the measure of its intercepted arc |
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Term
| If two inscribed angles intersect x, the same or congruent arcs than, |
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Definition
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Term
| If a triangle is inscribed in a semi-circle than, |
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Definition
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Term
| The measure of an inscribed angle is half of |
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Definition
| the measure of its intersepted arcc |
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Term
| The measure of an angle formed by two secants in the exterior of a circle is |
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Definition
| half the difference of its intercepted arc |
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Term
| If two chords of a circle intersect then the product of the measures of one chord equals |
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Definition
| the product of the measures of the segments of the other chord |
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Term
| If a tangent segment and a secant segment are drawn to a circle from an exterior point than, |
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Definition
| the square of the measure of the tangent segment equals the product of the measures of the secant segment and its external secant segment |
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Term
| The law of syllogism says |
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Definition
| if a than b, and b than c, than if a than c |
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