Study notes for quiz 3.05
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| show | the outside angles on opposite diagonal sides of a transversal crossing two parallel lines
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| show | any coplanar lines that are always the same distance apart.
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| transversal | show 🗑
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| alternate interior angles | show 🗑
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| corresponding angles | show 🗑
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| same-side interior angles | show 🗑
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| How are same-side angles found? | show 🗑
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| What happens when two parallel lines are intersected by a transversal? | show 🗑
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| show | when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent.
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| True Or false: Lines that are intersected by transversals will always be parallel. | show 🗑
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| What angles are created by transversal lines? | show 🗑
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| show | a conditional statement that switches the hypothesis and the conclusion of the original conditional statement
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| How is a conditional statement written and how is the converse? | show 🗑
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| True or false: If a conditional statement is true, its converse is true. | show 🗑
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| Write the corresponding angles postulate's converse. | show 🗑
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| show | To prove that two lines are parallel, you only have to prove that two corresponding angles are congruent.
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| How can you prove that all lines are congruent in the parallel lines. | show 🗑
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| show | True
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| Why is it important that these converses are true? | show 🗑
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| show | any of the angles inside a polygon; an interior angle forms a linear pair with an exterior angle
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| show | Given a line and a point not on that line, there is one and only one line that contains the given point and is parallel to the given line.
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| show | the sum of the measures of the interior angles of a triangle is 180°.
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| In what ways can the measure of an angle be manipulated. | show 🗑
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| Through any two___, a ___ ___ can be drawn. | show 🗑
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| Any___can be extended____to construct a line. | show 🗑
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| Given any ____, a circle can be drawn with the _____ as the ____ and one of the segment's endpoints as the _____. | show 🗑
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| If you know the measures of two angles in a triangle, what can you do with TST? | show 🗑
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| show | an angle formed by two sides of a polygon, one of which extends outside the polygon; each interior angle of a polygon forms a linear pair with an exterior angle
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| show | an angle inside a triangle that is not adjacent to a given exterior angle
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| What are 2 uses for the Exterior Angle Theorem? | show 🗑
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| What is the Exterior Angle Theorem? | show 🗑
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| show | The Exterior Angle Theorem makes it possible to determine the value of an exterior angle quickly when you know the values of its remote interior angles.
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| show | An exterior angle of a triangle is the angle formed by one side of a triangle and by extending the line containing an adjacent side.
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| show |
a polygon in which at least one line segment that connects any two points inside the polygon does not lie completely inside the polygon
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| convex polygon | show 🗑
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| show | any of the angles inside a polygon; an interior angle forms a linear pair with an exterior angle
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| show | a closed figure formed by three or more line segments in a plane, such that each line segment intersects exactly two other line segments at their endpoints only
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| show | false, Not all polygons look the same, but they all have interior and exterior angles.
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| What is the formula of the measures of the Interior angles of a polygon? | show 🗑
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| regular polygon | show 🗑
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| bases of a trapezoid | show 🗑
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| legs of a trapezoid | show 🗑
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| show | the line segment that connects the midpoints of the legs
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| show | the length of the midsegment of a trapezoid is equal to one-half the sum of the lengths of the bases.
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| What theorem is the statement:"the length of the midsegment of a trapezoid is equal to one-half the sum of the lengths of the bases." | show 🗑
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| show | the line segment that connects the midpoints of two of the sides
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| Triangle Midsegment Theorem | show 🗑
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| show | m = (y2-y2) / ( x2-x2).
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| Trapezoid with three lines | show 🗑
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| show | 1/n(n-2)*180= m (angle sign) Interior
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| show | polygons that are the same size and shape
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the angles of two or more polygons that lie in the same position
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| corresponding sides | show 🗑
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| What are measures and Figures? | show 🗑
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| show | Congruent angles have the same measure.
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| show | No. The angles do not have to be oriented in the same direction or lie in the same plane.
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| show | Congruent segments are the same size, and congruent angles have the same measure.
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| show | Congruent Polygons have the same size and shape.
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| How is a Polygon named? | show 🗑
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| included angle | show 🗑
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| included side | show 🗑
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| Comparison Property of Inequality | show 🗑
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| Betweenness Postulate | show 🗑
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| show | In a triangle, the longer side lies opposite the larger angle; the larger angle lies opposite the longer side.
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| show | the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
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| show | the bottom side or face of a geometric figure
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| circumference | show 🗑
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| height | show 🗑
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| perimeter | show 🗑
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| show | The measure of a line segment is its length.
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| Rawnald Gregory Erickson The Second | show 🗑
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| What are two aspects that you can measure when it comes to regions | show 🗑
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| perimeter | show 🗑
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| show | the bottom side or face of a geometric figure
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| show | in a geometric figure, an altitude that is perpendicular to a base
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| The base is often the side that is on the "bottom" but it doesn't have to be. If you rotate a figure, the base might be on the side. On a rectangle, wherever a base is, the height is the measure of the side that is perpendicular to it. | show 🗑
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| The formula for the perimeter of a rectangle with base b and height h is P = 2b + 2h. | show 🗑
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