Geometry Unit 4 Part 2 by Anthony Odle

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Slide Notes

Geometry Unit 4 Part 2

Published on Nov 24, 2015

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PRESENTATION OUTLINE

AA SIMILARITY POSTULATE

AA (angle angle) similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

SAS SIMILARITY THEOREM

SAS Similarity Postulate states, “If an angle of one triangle is congruent to the corresponding angle of another triangle and the sides that include this angle are proportional, then the two triangles are similar.”

SSS SIMILARITY THEOREM

This theorem states that if the sides of two triangles are in proportion, then the triangles are similar.

PYTHAGOREAN THEOREM

a relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

45-45-90 TRIANGLE

right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.

30-60-90 TRIANGLE

RIGHT TRIANGLE IS A RIGHT TRIANGLE WITH SOME REGULAR FEATURE THAT MAKES CALCULATIONS ON THE TRIANGLE EASIER, OR FOR WHICH SIMPLE FORMULAS EXIST.

TANGENT

A STRAIGHT LINE OR PLANE THAT TOUCHES A CURVE OR CURVED SURFACE AT A POINT, BUT IF EXTENDED DOES NOT CROSS IT AT THAT POINT.

SINE

THE TRIGONOMETRIC FUNCTION THAT IS EQUAL TO THE RATIO OF THE SIDE OPPOSITE A GIVEN ANGLE (IN A RIGHT TRIANGLE) TO THE HYPOTENUSE.

COSINE

THE TRIGONOMETRIC FUNCTION THAT IS EQUAL TO THE RATIO OF THE SIDE ADJACENT TO AN ACUTE ANGLE (IN A RIGHT-ANGLED TRIANGLE) TO THE HYPOTENUSE

10.

ANGLE OF ELEVATION

SPACE WHERE THE POSITION OF A POINT IS SPECIFIED BY THREE NUMBERS:

11.

ANGLE OF DEPRESSION.

AN ANGLE MEASURED FROM THE HORIZONTAL PLANE DOWNWARD FROM AN OBSERVER'S EYE TO A GIVEN POINT BELOW THE PLANE

Slide Notes