Geometry Terms Flashcards

A statement/conclusion drawn from reasoning.

Proves the conjecture to be false.

<p>No shape, no size; represents a location in space.</p> Signup and view all the answers

<p>The set of points extending in two opposite directions forever.</p> Signup and view all the answers

<p>A 2D flat surface extending in all directions forever.</p> Signup and view all the answers

<p>The set of all points; 3D.</p> Signup and view all the answers

<p>Points on the same line.</p> Signup and view all the answers

<p>Points not on the same line.</p> Signup and view all the answers

<p>Points in the same plane.</p> Signup and view all the answers

<p>Points not in the same plane.</p> Signup and view all the answers

<p>Point, line, plane.</p> Signup and view all the answers

<p>Accepted as fact (doesn't have to be proven); also known as an axiom.</p> Signup and view all the answers

<p>Part of a line containing two endpoints.</p> Signup and view all the answers

<p>One endpoint extending forever in one direction.</p> Signup and view all the answers

<p>Two rays going in opposite directions, forming a line and sharing an endpoint.</p> Signup and view all the answers

<p>Coplanar lines that NEVER intersect.</p> Signup and view all the answers

<p>Coplanar lines that intersect to form four right angles.</p> Signup and view all the answers

<p>Noncoplanar lines; cannot be parallel.</p> Signup and view all the answers

<p>Slanted.</p> Signup and view all the answers

<p>Planes that don't touch.</p> Signup and view all the answers

<p>Two or more segments with the same length.</p> Signup and view all the answers

<p>If we know AB and BC, then we can find AC.</p> Signup and view all the answers

<p>A point that divides a segment into two congruent segments.</p> Signup and view all the answers

<p>Formed by two rays (sides) with the same endpoint (vertex).</p> Signup and view all the answers

<p>Angles with the same measure.</p> Signup and view all the answers

<p>The measures of smaller angles add up to the measure of the larger angle.</p> Signup and view all the answers

<p>A line, segment, or ray that is perpendicular to a segment at its midpoint.</p> Signup and view all the answers

<p>A ray or segment that divides an angle into two congruent angles.</p> Signup and view all the answers

<p>'If, then' statements.</p> Signup and view all the answers

<p>Statement that switches the hypothesis and the conclusion.</p> Signup and view all the answers

<p>Statement that negates the conditional (not).</p> Signup and view all the answers

<p>Statement that is a combination of the converse and the inverse.</p> Signup and view all the answers

<p>'Iff' (if and only if) statements.</p> Signup and view all the answers

<p>Intuition (coming from previous/prior knowledge).</p> Signup and view all the answers

<p>If a = b, then a + c = b + c.</p> Signup and view all the answers

<p>If a = b, then a - c = b - c.</p> Signup and view all the answers

<p>If a = b, then a(c) = b(c).</p> Signup and view all the answers

<p>If a = b and c ≠ 0, then a/c = b/c.</p> Signup and view all the answers

<p>a = a</p> Signup and view all the answers

<p>If a = b, then b = a.</p> Signup and view all the answers

<p>If a = b and b = c, then a = c.</p> Signup and view all the answers

<p>If a = b, then b can replace a in an expression.</p> Signup and view all the answers

<p>4(5x + 2) = 20x + 8.</p> Signup and view all the answers

<p>12x + 7y + 6x + 2x + 8y - 3x - 2y = 17x + 13y (CLT).</p> Signup and view all the answers

<p>Two angles sharing a vertex facing opposite directions.</p> Signup and view all the answers

<p>Angles that are side by side (shares a vertex and common side).</p> Signup and view all the answers

<p>Angles whose measures sum equals 90 degrees.</p> Signup and view all the answers

<p>Angles whose measures sum to 180 degrees.</p> Signup and view all the answers

<p>A proven mathematical concept that was once a theory.</p> Signup and view all the answers

<p>An angle less than 90 degrees.</p> Signup and view all the answers

<p>An angle measuring 90 degrees.</p> Signup and view all the answers

<p>An angle greater than 90 degrees.</p> Signup and view all the answers

<p>An angle measuring 180 degrees.</p> Signup and view all the answers

<p>The geometric word for 'equal'.</p> Signup and view all the answers

<p>The part of the conditional statement following 'if'.</p> Signup and view all the answers

<p>The part of the conditional statement following 'then'.</p> Signup and view all the answers

<p>A line that intersects two coplanar lines at two distinct points.</p> Signup and view all the answers

<p>Nonadjacent interior angles that lie on opposite sides of the transversal.</p> Signup and view all the answers

<p>Nonadjacent exterior angles that lie on opposite sides of the transversal.</p> Signup and view all the answers

<p>Interior angles on the same side of the transversal.</p> Signup and view all the answers

<p>Exterior angles that lie on the same side of the transversal.</p> Signup and view all the answers

<p>Angles on the same side of the transversal and in corresponding positions relative to the two lines.</p> Signup and view all the answers

<p>Change in position, shape, and size.</p> Signup and view all the answers

<p>Original figure before a transformation.</p> Signup and view all the answers

<p>New figure after a transformation.</p> Signup and view all the answers

<p>A transformation where the preimage and the image are congruent.</p> Signup and view all the answers

<p>A transformation where the figure is flipped.</p> Signup and view all the answers

<p>The way that a figure is flipped.</p> Signup and view all the answers

<p>A transformation where the figure is slid.</p> Signup and view all the answers

<p>A transformation where the figure is turned (clockwise or counterclockwise).</p> Signup and view all the answers

<p>The point from which a figure is rotated.</p> Signup and view all the answers

<p>When the figure is divided, it is equal on both sides.</p> Signup and view all the answers

<p>When you can draw a line, flip the figure, and it is still the same.</p> Signup and view all the answers

<p>A circular idea where you can rotate the figure and end up with the same shape eventually.</p> Signup and view all the answers

<p>A transformation in which the size of the figure is enlarged or reduced.</p> Signup and view all the answers

<p>The area of the figure increases with dilation.</p> Signup and view all the answers

<p>The area of the figure decreases with dilation.</p> Signup and view all the answers

<p>A performed action using a ruler and compass, that is used to construct the mathematical structure of a figure.</p> Signup and view all the answers

<p>Figures that have congruent corresponding parts.</p> Signup and view all the answers

<p>The sum of the measures of the interior angles of a triangle is 180 degrees.</p> Signup and view all the answers

<p>Two nonadjacent interior angles of a triangle.</p> Signup and view all the answers

<p>The measure of an exterior angle is equal to the sum of its remote interior angles.</p> Signup and view all the answers

<p>If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.</p> Signup and view all the answers

<p>If three sides of a triangle are congruent to three sides of another triangle, then the triangles are congruent.</p> Signup and view all the answers

<p>If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.</p> Signup and view all the answers

<p>If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.</p> Signup and view all the answers

<p>If two angles and a NON-included side of a triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.</p> Signup and view all the answers

<p>If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.</p> Signup and view all the answers

<p>A method of proving a concept by several steps.</p> Signup and view all the answers

<p>Corresponding parts of congruent triangles are congruent.</p> Signup and view all the answers

<p>Segment of a triangle connecting the midpoints of two sides.</p> Signup and view all the answers

<p>A midsegment is parallel to the non-connected side and half its length.</p> Signup and view all the answers

<p>Special segments whose concepts were developed by Italian mathematician Giovanni Ceva.</p> Signup and view all the answers

<p>A line, segment, or ray that is perpendicular to a segment and intersects it at its midpoint.</p> Signup and view all the answers

<p>A segment or ray that divides an angle into two equal parts.</p> Signup and view all the answers

<p>Segment going from a vertex to the midpoint of the opposite side.</p> Signup and view all the answers

<p>Segment going from a vertex perpendicular to the opposite side.</p> Signup and view all the answers

<p>When lines intersect at the same point.</p> Signup and view all the answers

<p>The point where all of the lines converge.</p> Signup and view all the answers