Geometry 3.05 Word Scramble

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Question	Answer
alternate exterior angles	the outside angles on opposite diagonal sides of a transversal crossing two parallel lines
Parallel lines	any coplanar lines that are always the same distance apart.
transversal	a line that intersects two or more lines in a plane
alternate interior angles	the inside angles on opposite diagonal sides of a transversal crossing two parallel lines
corresponding angles	the angles that lie in the same position or "match up" when a transversal crosses two parallel lines
same-side interior angles	in angles created by a transversal crossing two lines, the angles that are on the same side of the transversal and in-between the two lines that are not the transversal
How are same-side angles found?	When two lines are intersected by a transversal, pairs of corresponding, alternate interior, alternate exterior, and same-side interior angles are formed.
What happens when two parallel lines are intersected by a transversal?	When two parallel lines are intersected by a transversal, corresponding angles are congruent.
Corresponding Angles Postulate	when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent.
True Or false: Lines that are intersected by transversals will always be parallel.	False. The two lines that are intersected by a transversal can be either parallel or not.
What angles are created by transversal lines?	When two lines are intersected by a transversal, pairs of corresponding, alternate interior, alternate exterior, and same-side interior angles are formed.
converse	a conditional statement that switches the hypothesis and the conclusion of the original conditional statement
How is a conditional statement written and how is the converse?	conditional statement written as "If p, then q," the converse is "If q, then p."
True or false: If a conditional statement is true, its converse is true.	False. If a conditional statement is true, its converse might or might not be true.
Write the corresponding angles postulate's converse.	The converse is the following: If two lines are intersected by a transversal and the corresponding angles are congruent, then the lines are parallel.
How can you prove that two lines are parallel?	To prove that two lines are parallel, you only have to prove that two corresponding angles are congruent.
How can you prove that all lines are congruent in the parallel lines.	You can prove that all of the other pairs are congruent by using the Linear Pair Postulate and the Vertical Angles Theorem.
The converse of the Corresponding Angles Postulate, the Alternate Interior Angles Theorem, the Alternate Exterior Angles Theorem, and the Same-Side Interior Angles Theorem are all true.	True
Why is it important that these converses are true?	Because these converses are true, you can use them to prove that two lines are parallel.
Interior Angles	any of the angles inside a polygon; an interior angle forms a linear pair with an exterior angle
Parallel Postulate	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.
Triangle Sum Theorum	the sum of the measures of the interior angles of a triangle is 180°.
In what ways can the measure of an angle be manipulated.	The measure of an angle is a number and therefore can be added, subtracted, or otherwise manipulated under properties of real numbers you learned in algebra.
Through any two___, a ___ ___ can be drawn.	Through any two points, a single line can be drawn.
Any___can be extended____to construct a line.	Any segment can be extended indefinitely to construct a line.
Given any ____, a circle can be drawn with the _____ as the ____ and one of the segment's endpoints as the _____.	Given any segment, a circle can be drawn with the segment as the radius and one of the segment's endpoints as the center.
If you know the measures of two angles in a triangle, what can you do with TST?	If you know the measures of two angles in a triangle, then you can use TST to determine the measure of the third angle.
exterior angles	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
remote interior angle	an angle inside a triangle that is not adjacent to a given exterior angle
What are 2 uses for the Exterior Angle Theorem?	1.in proofs, to establish other theorems 2.to solve problems
What is the Exterior Angle Theorem?	The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
What does the Exterior Angle Theorem make it possible to do?	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.
What is an exterior angle?	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.
concave polygon	a polygon in which at least one line segment that connects any two points inside the polygon does not lie completely inside the polygon
convex polygon	a polygon in which every line segment connecting any two points inside the polygon lies completely inside the polygon
interior angle of a polygon	any of the angles inside a polygon; an interior angle forms a linear pair with an exterior angle
polygon	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
All polygons look the same and have only an interior angle	false, Not all polygons look the same, but they all have interior and exterior angles.
What is the formula of the measures of the Interior angles of a polygon?	The formula for the sum of the measures of the interior angles of a polygon is S = 180(nv 2) where n is the number of sides of the polygon.
regular polygon	a polygon that is equilateral and equiangular
bases of a trapezoid	the pair of parallel sides of a trapezoid
legs of a trapezoid	the nonparallel sides of a trapezoid
midsegment of a trapezoid	the line segment that connects the midpoints of the legs
How is the length of a Midsegment to a trapezoid?	the length of the midsegment of a trapezoid is equal to one-half the sum of the lengths of the bases.
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."	Trapezoid Midsegment Theorem.
midsegment of a triangle	the line segment that connects the midpoints of two of the sides
Triangle Midsegment Theorem	1.The length of a midsegment is equal to one-half the length of its corresponding base. 2.A midsegment is parallel to its corresponding base.
The slope formula is	m = (y2-y2) / ( x2-x2).
Trapezoid with three lines	I=1/2(01+02) I=01+02/2
To find the number of sides of a polygon	1/n(n-2)*180= m (angle sign) Interior
congruent polygons	polygons that are the same size and shape
corresponding angles of polygons	the angles of two or more polygons that lie in the same position
corresponding sides	the sides of two or more polygons that lie in the same position
What are measures and Figures?	Measures are equal. Figures are congruent.
What do Congruent angles have in common?	Congruent angles have the same measure.
Do the angles have to be oriented in the same direction or lie in the same plane?	No. The angles do not have to be oriented in the same direction or lie in the same plane.
What is the difference between congruent segments and congruent angles?	Congruent segments are the same size, and congruent angles have the same measure.
Remember	Congruent Polygons have the same size and shape.
How is a Polygon named?	A polygon is named by using the labels of its vertices.
included angle	the angle between two sides of a triangle
included side	the side between two angles of a triangle
Comparison Property of Inequality	if a = b + c, then a > b for any values of a, b, and c, with c > 0.
Betweenness Postulate	if AB + BC = AC, then A, B, and C are collinear and B lies between A and C.
In a triangle, the longer side lies opposite the larger angle; the larger angle lies opposite the longer side.	In a triangle, the longer side lies opposite the larger angle; the larger angle lies opposite the longer side.
Triangle Inequality Theorem	the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
base	the bottom side or face of a geometric figure
circumference	the perimeter of a circle
height	a geometric figure, an altitude that is perpendicular to a base
perimeter	The distance around a plane figure.
The measure of a line segment is its length.	The measure of a line segment is its length.
Rawnald Gregory Erickson The Second	Rawnald Gregory Erickson The Second
What are two aspects that you can measure when it comes to regions	the boundary of the region and its interior.
perimeter	The distance around a plane figure.
base	the bottom side or face of a geometric figure
height	in a geometric figure, an altitude that is perpendicular to a base
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.	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.
The formula for the perimeter of a rectangle with base b and height h is P = 2b + 2h.	The formula for the perimeter of a rectangle with base b and height h is P = 2b + 2h.

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