Triangle Similarity

Lakukan tugas rumah & ujian kamu dengan baik sekarang menggunakan Quizwiz!

Proportion

2 equal ratios.

Ratio

A comparison of 2 quantities with the same units. Must be fully simplified.

Similarity Statement

A statement that shows all the corresponding similar parts of 2 figures. For example: ABCD~EFGH.

Indirect Measurement

A technique that uses proportions to find a measurement when direct measurement is not possible.

True

Any two equilateral triangles are similar to each other.

False

Any two isosceles triangles are similar to each other.

Similarity Ratio

Between any two similar figures there is a ratio of any pair of corresponding sides. Once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio.

AA Similarity Theorem

If 2 angles in one triangle are congruent to 2 angles in a second triangle, then the triangles are similar.

SSS Similarity Theorem

If 3 sides of one triangle are proportional to 3 sides in a second triangle, then the triangles are similar.

Dilation Rule

If a point A(x,y) follows a dilation whose scale factor is K, and the center of dilation is (0,0), then the dilation rule can be written as A' (x*k, y*k)

Cross Product Property

If a/b=c/d, then ad=bc.

SAS Similarity Theorem

If one pair of angles in 2 triangles are congruent, and the sides including the angle are proportional, then the triangles are similar.

Enlargement

Makes the pre-image bigger. The scale factor is bigger than 1.

Reduction

Makes the pre-image smaller. The scale factor is less than 1.

Altitude to the Hypotenuse Theorem

The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other.

Scale Factor

The ratio of the image to the pre-image. The measure from the center to the image over the measure from the center to the pre-image.

Similar Polygons

The same shape but not the same size.

Center of Dilation

The single point from which we measure to create a dilation.

Dilation

When the entire pre-image undergoes a size change. The shape will NOT change.


Set pelajaran terkait

Chapter 16: The Era of Reconstruction, 1865-1877

View Set

Growth and Development Adaptive Quizzing

View Set

IT462 - Chapter 3, 18, 19 Review

View Set

Ancient Egypt - Geography and Trade

View Set

Marine Biology Sponge & Cnidarian Test

View Set

Cost Management 2nd edition, Ch 08 - Measuring and Assigning Support Department Costs

View Set