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# Geometry Final Exam

### Vocabulary for Final Exam

What is an acute angle? An acute angle is an angle whose measure is between 0 and 90.
What is a right angle? A right angle is an angle whose measure is 90.
What is an obtuse angle? An obtuse angle is an angle whose measure is between 90 and 180.
What are parallel lines? Two lines are parallel if they lie in the same plane and do not intersect. The symbol // means is "parallel to."
What are skew lines? Skew lines are lines that do not lie in the same plane. They do not intersect.
What are perpendicular lines? Perpendicular lines are lines that intersect and form right angles. The symbol of an upside down "T" means "is perpendicular to"
What are collinear points? Collinear points are points that lie on the same line.
What does it mean to be coplanar? Coplanar figures are figures in the same plane.
What are opposite rays? Opposite rays are collinear rays with the same endpoint. They form a line.
What is a perpendicular bisector? The perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint.
What is a segment? A segment is the part of a line consisting of two points called endpoints, and all points between them.
What is a ray? A ray is the part of a line consisting of one endpoint and all the points of the line on one side of the endpoint.
What is a line? In Euclidean geometry, a line is undefined. You can think of a line as a series of points that extend in two directions infinitely or without end. In spherical geometry, you can think of a line as a great circle of a sphere.
What is a midpoint? A midpoint of a segment is the point that divides the segment into two congruent segments.
What is a midsegment? In a trapezoid, a midsegment of a trapezoid is the segment that joins the midpoints of the nonparallel opposite sides of a trapezoid. In a triangle, the midsegment of a triangle is a segment that joins the midpoints of two sides of the triangle.
What are complementary angles? Two angles are complementary angles if the sum of their measures is 90.
What are supplementary angles? Two angles are supplementary angles if the sum of their measures is 180.
What is the converse of a conditional? The converse of the conditional "if P, then Q" is the conditional "if Q, then P"
What is the inverse of a conditional? The inverse of the conditional "if P, then Q" is the conditional "if not P, then not Q"
What is the contrapositive of a conditional? The contrapositive of the conditional "if P, then Q" is the conditional "if not Q, then not P" A conditional and its contrapositive always have the same truth value. A contrapositive is the inverse and converse of a conditional.
What is a biconditional? A biconditional statement is the combination of a conditional statement and its converse. A biconditional contains the words "if and only if"
What is a counterexample? A counterexample to a statement is a particular example or instance of the statement that makes the statement false.
What does it mean to be "logically equivalent" A statement is logically equivalent if it is either true or false. Two statements are logically equivalent if they are both true or both false.
What are adjacent angles? Adjacent angles are two coplanar angles that have a common side and a common vertex but no common interior points.
What is the multiplication property of equality? If a=b, then a by c=b by c.
What is the addition property of equality? If a=b, then a+c=b+c.
What is the subtraction property of equality? If a=b, then a-c=b-c.
What is the division property of equality? If a=b and c does not equal 0, then a/c=b/c
What is the distributive property of equality? a(b+c)=ab+ac.
What is the symmetric property of equality? If a=b, then b=a.
What is the transitive property of equality? If a=b and b=c, then a=c.
What is the reflexive property of equality? a=a.
What is the substitution property of equality? If a=b, then b can replace a in any expression.
What is an equiangular polygon? An equiangular polygon is a polygon whose angles are all congruent.
What is an equilateral polygon? An equilateral polygon is a polygon whose sides are all congruent.
What is a regular polygon? A regular polygon is a polygon that is both equilateral and equiangular. Its center is the center of the circumscribed circle.
What are vertical angles? Vertical angles are two angles whose sides form two pairs of opposite rays. They are congruent.
What are alternate interior angles? Alternate interior angles are angles are nonadjacent interior angles that lie on opposite sides of the transversal. They are congruent.
What are corresponding angles? Corresponding angles lie on the same side of the transversal. They are in corresponding positions relative to other angles. They are congruent.
What is a transversal? A transversal is a line that intersects two coplanar lines in two points.
What is an acute triangle? An acute triangle has three acute angles.
What is an obtuse triangle? An obtuse triangle has one obtuse angle.
What is a right triangle? A right triangle contains one right angle. The side opposite the right angle is the hypotenuse and the other two sides are the legs.
What is a scalene triangle? A scalene triangle has no sides congruent.
What is an isosceles triangle? An isosceles triangle is a triangle that has at least two congruent sides. If there are two congruent sides, they are called legs. The vertex angle is between them. The third side is called the base and the other two angles are called base angles.
What is an equilateral triangle? An equilateral triangle is a triangle whose sides are all congruent.
What is a median of a triangle? A median of a triangle is a segment that has as its endpoints a vertex of the triangle and the midpoint of the opposite side.
What is an altitude of a triangle? An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side of that vertex.
What is an angle bisector? An angle bisector is a ray that divides an angle into two congruent angles.
What is a parallelogram? A parallelogram is a quadrilateral with two pairs of parallel sides. The base can be any side, and the altitude is the height of the parallelogram.
What is a rectangle? A rectangle is a parallelogram with four right angles.
What is a square? A square is a parallelogram with four congruent sides and four right angles.
What is a kite? A kite is a quadrilateral with two pairs of congruent adjacent sides and no opposite sides congruent.
What is a rhombus? A rhombus is a parallelogram with four congruent sides.
What is a trapezoid? A trapezoid is a quadrilateral with exactly one pair of parallel sides, the bases. the nonparallel sides are called the legs of a trapezoid. The altitude of a trapezoid is its height.
What is a circle? A circle is the set of all points in a plane that are a given distance, the radius, from a given point, the center. It measures 360 degrees.
What is a radius? A radius of a circle is any segment with one endpoint on the circle and the other endpoint at the center of the circle.
What is a diameter? A diameter of a circle is a segment that contains the center of the circle and whose endpoints are on the circle.
What is a sector? A sector of a circle is the region bounded by two radii and their intercepted arc.
What is a minor arc? A minor arc is an arc that is smaller than a semicircle.
What is a major arc? A major arc is an arc that is larger than a semicircle. It is less than 360 degrees though.
What is a semicircle? A semicircle is half a circle and measures 180 degrees.
What is a similarity ratio? The similarity ratio is the ratio of the lengths of corresponding sides of similar polygons.
What is an angle of elevation? An angle of elevation is the angle formed by a horizontal line and the line of sight to an object above the horizontal line.
What is an angle of depression? An angle of depression is the angle formed by a horizontal line and the line of sight to an object below the horizontal line.
What does the sine ratio mean in trigonometry? The sine ratio means/is leg opposite/hypotenuse. On the Graphing calculator, sine is abbreviated as "SIN".
What does the cosine ratio mean in trigonometry? The cosine ratio is leg adjacent/hypotenuse. On the Graping Calculator,cosine is abbreviated as "COS".
What does the tangent ratio mean in trigonometry? The tangent ratio is leg opposite/leg adjacent. On the Graphing calculator, tangent is abbreviated as "TAN".
What is a net? A net is a two-dimensional pattern that you can fold to form a three-dimensional pattern.
What is a prism? A prism is a a polyhedron with two congruent and parallel faces(bases). The other faces(parallelograms) are called lateral faces. Altitude is the height. Length is height. (Remember a right prism versus an oblique prism)
What is a pyramid? A pyramid is a polyhedron in which one face, the base, is a polygon, and the other faces, the lateral faces, are triangles. Regular pyramid is a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles.
What is a cone? A cone is a three-dimensional figure that has a circular base, a vertex not in the plane of a circle, and a curved lateral surface.The slant height is the distance from the vertex to the edge of the base.
What is a cylinder? A cylinder is a three-dimensional figure with two congruent circular bases that lie in two parallel planes. (Right and Oblique cylinders)
What is a chord? A chord of a circle is a segment whose endpoints are on the circle.
What is a transformation? A transformation is a change in the position, size, or shape of a geometric figure. The preimage is the starting figure and the image is the image which has been transformed. Prime notation is sometimes used to identify image points. (K')
What is a translation? A translation(slide) is a transformation that moves points the same distance and in the same direction. A translation in the coordinate plane is described by a vector.
What is a reflection? A reflection in(or flip across)a line is a type of transformation in which a figure reflects over a line.
What is a rotation? A rotation(turn) of a figure is a transformation.
What is a dilation? A dilation, or similarity transformation, is a transformation in which a figure gets larger or smaller by a certain scale factor.
What is isometry? An isometry, also known as a congruence transformation is a transformation in which an original figure and its image are congruent.
Created by: nataliebentley