Ratios And Proportions Study Cards

Enhance Your Learning with Ratios and Proportions Flash Cards for quick understanding



Ratio

A comparison of two or more quantities.

Proportion

An equation stating that two ratios are equal.

Equivalent Ratios

Ratios that express the same relationship between numbers.

Simplifying Ratios

Reducing a ratio to its simplest form.

Cross Multiplication

A method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Direct Variation

A relationship between two variables where their ratio remains constant.

Inverse Variation

A relationship between two variables where their product remains constant.

Unit Rate

A rate that compares a quantity to one unit of another quantity.

Percent

A ratio that compares a number to 100.

Percent Increase

The amount by which a quantity increases expressed as a percentage of the original value.

Percent Decrease

The amount by which a quantity decreases expressed as a percentage of the original value.

Part-to-Whole Ratio

A ratio that compares a part to the whole.

Rate

A ratio that compares two quantities with different units of measure.

Scale Factor

The ratio of any two corresponding lengths in two similar geometric figures.

Proportional Relationship

A relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Constant of Proportionality

The constant value in a proportional relationship.

Proportional Reasoning

The ability to recognize and solve problems involving proportional relationships.

Proportional Graph

A graph that represents a proportional relationship.

Non-Proportional Relationship

A relationship between two quantities where the ratio of one quantity to the other quantity is not constant.

Non-Proportional Graph

A graph that represents a non-proportional relationship.

Constant Rate of Change

The rate at which one quantity changes in relation to another quantity.

Percent Error

The difference between an estimated value and an actual value, expressed as a percentage of the actual value.

Percent Proportion

An equation that states that two ratios are equal, where one ratio compares a part to the whole and the other ratio compares a percent to 100.

Percent Equation

An equation that states that two ratios are equal, where one ratio compares a part to the whole and the other ratio compares a percent to 100.

Proportional Triangles

Triangles that have proportional side lengths.

Similar Figures

Figures that have the same shape but not necessarily the same size.

Scale Drawing

A drawing that represents an object as smaller or larger than the actual size, using a scale factor.

Scale Model

A three-dimensional model that represents an object as smaller or larger than the actual size, using a scale factor.

Dilation

A transformation that changes the size of a figure without changing its shape.

Enlargement

A dilation that increases the size of a figure.

Reduction

A dilation that decreases the size of a figure.

Enlargement Scale Factor

The ratio of the length of a side in the enlarged figure to the corresponding length in the original figure.

Reduction Scale Factor

The ratio of the length of a side in the reduced figure to the corresponding length in the original figure.

Similarity Ratio

The ratio of the lengths of corresponding sides in similar figures.

Similarity Statement

A statement that indicates that two figures are similar.

Similarity Transformation

A transformation that produces similar figures.

Angle-Angle Similarity

A postulate stating that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Side-Angle-Side Similarity

A postulate stating that if the lengths of two sides of one triangle are proportional to the lengths of two corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

Side-Side-Side Similarity

A postulate stating that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Triangle Proportionality Theorem

A theorem stating that if a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Midsegment of a Triangle

A segment that connects the midpoints of two sides of a triangle.

Triangle Midsegment Theorem

A theorem stating that the midsegment of a triangle is parallel to the third side and half the length of the third side.

Geometric Mean

The positive square root of the product of two numbers.

Geometric Mean Theorem

A theorem stating that if a line is drawn from the vertex of a right triangle to the hypotenuse, then the length of the segment is the geometric mean of the lengths of the two segments of the hypotenuse.

Similar Polygons

Polygons that have the same shape but not necessarily the same size.

Scale Factor of Similar Polygons

The ratio of the lengths of corresponding sides in similar polygons.

Perimeter Ratio of Similar Polygons

The ratio of the perimeters of similar polygons.

Area Ratio of Similar Polygons

The ratio of the areas of similar polygons.

Volume Ratio of Similar Solids

The ratio of the volumes of similar solids.

Surface Area Ratio of Similar Solids

The ratio of the surface areas of similar solids.