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Carnegie Vocabulary Chapter 9
Geometric Figures and Their Properties
41
Mathematics
8th Grade
01/18/2008

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Cards

Term

 

 

angle

Definition

 

 

An angle is a figure that is formed by two rays that extend from a common point.

Term

 

 

 

vertex

Definition

 

 

 

The vertex of an angle is the point where the two rays forming the angle intersect.

Term

 

 

 

degrees

Definition

 

 

A degree is a unit of measure of an angle.

Term

 

 

 

 

right angle

Definition

 

 

 

A right angle is an angle that has a measure of exactly 90 degrees.

Term

 

 

Acute angle

Definition

 

 

 An acute angle is an angle that has a measure between 0 and 90 degrees.

Term

 

 

 

 straight angle

Definition

 

 

 

A straight angle has a measure of exactly 180 degrees.

Term

 

 

 

obtuse angle

Definition

 

 

 

An obtuse angle is an angle that measures between 90 and 180 degrees.

Term

 

 

 

protractor

Definition

 

 

A protractor is a tool used to measure angles.

Term

 

 

complementary angles

Definition

 

 

Complementary angles are two angles whose sum is 90 degrees.

Term

 

 

 

supplementary angles

Definition

 

 

 

Supplementary angles are two angles whose sum is equal to 180 degrees.

Term

 

 

 

transversal

Definition

 

A transversal is a line that intersects two or more lines in the same plane at different points.

Term

 

 

congruent angles

Definition

 

 

Congruent angles are two angles that have the same shape and size.

Term

 

 

alternate interior angles

Definition

 

When two parallel lines are cut by a transversal, alternate interior angles are the two angles that lie between the two lines and on opposite sides of a transversal.

Term

 

 

alternate exterior angles

Definition

 

When two parallel lines are cut by a transversal, alternate exterior angles are two angles that lie outside of the two lines and on opposite sides of a transversal.

Term

 

 

corresponding angles

Definition

 

 

When two parallel lines are cut by a transversal, corresponding angles are two angles that lie on the same side of the transversal, one angle on the outside of the two lines and one angle on the inside of the two lines.

Term

 

 

vertical angles

Definition

 

 

Two angles are vertical angles if their sides form two pairs of opposite rays.

Term

 

 

adjacent angles

Definition

 

Adjacent angles are angles that share a common side and a common vertex and lie on opposite sides of their common side.

Term

 

 

triangle

Definition

 

 

 A triangle has three angles and three sides.

Term

 

 

equilateral triangle

Definition

 

 

An equilateral triangle is a triangle in which all three sides are equal in length. The measure of each interior angle of an equilateral triangle is 60 degrees.

Term

 

 

isosceles triangle

Definition

 

 

 

An isosceles triangle is a triangle with at least two congruent sides.

Term

 

 

 

scalene triangle

Definition

 

 

A scalene triangle is a triangle with no sides of equal length.

Term

 

 

acute triangle

Definition

 

 

An acute triangle is a triangle with three acute interior angles.

Term

 

 

obtuse triangle

Definition

 

 

An obtuse triangle is a triangle with one obtuse angle.

Term

 

 

 

right triangle

Definition

 

 

A right triangle is a triangle that contains a right angle.

Term

 

 

 

quadrilateral

Definition

 

 

A quadrilateral is a polygon that has four sides.

Term

 

 

trapezoid

Definition

 

 

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Term

 

 

parallelogram

Definition

 

 

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

Term

 

 

 

rhombus

Definition

 

 

A rhombus is a parallelogram whose four sides have the same length. The plural form of "rhombus" is "rhombi".

Term

 

 

rectangle

Definition

 

 

 

A rectangle is a parallelogram with four right angles.

Term

 

 

 

square

Definition

 

 

A square is a parallelogram with congruent sides and four right angles.

Term

 

 

polygon

Definition

 

A polygon is a two-dimensional figure that is formed by three or more segments called sides. Each side of a polygon must intersect exactly two other sides, one at each endpoint. No two sides intersect each other more than once.

Term

 

 

 

diagonal

Definition

 

 

A diagonal is a line segment that connects any two non-adjacent vertices.

Term

 

 

 

regular polygon

Definition

 

 

A regular polygon is a polygon whose sides all have the same length and whose angles all have the same measure.

Term

 

 

irregular polygon

Definition

 

 

An irregular polygon is a polygon whose sides are not the same length and whose angles do not have the same measure.

Term

 

 

 

similar polygons

Definition

 

 

Two polygons are similar when they have the same shape but are not necessarily the same size. The corresponding angles of similar polygons are congruent and the corresponding sides of similar polygons are proportional.

Term

 

 

corresponding sides

Definition

 

 

Corresponding parts of two similar or congruent figures are pairs of sides or angles that are in the same relative position in both figures.

Term

 

 

scale factor

Definition

 

 

A scale factor is a ratio that compares a measurement of a scale model or drawing to the corresponding measurement of an original object. A scale factor is also called a dilation factor.

Term

 

 

 

corresponding angles

Definition

 

 

When two parallel lines are cut by a transversal, corresponding angles are two angles that lie on the same side of the transversal, one angle on the outside of the two lines and one angle on the inside of the two lines.

Term

 

 

indirect measurement

Definition

 

 

Indirect measurement uses similar triangles and a proportion to measure an object that is not easily measured directly.

Term

 

 

congruent polygons

Definition

 

 

Two figures are congruent if they have the same size and the same shape.

Term

 

 

congruent

Definition

 

 

Same size and same shape

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