How The Americas Change: The Long 19th Centurysusiehiner2011
The document summarizes key events and developments in the Americas during the 19th century. It discusses how native peoples were dominated by Creole elites in Latin America and fought civil wars in both Latin America and the United States over issues like slavery and independence. It also describes the population growth in the Americas from European and Asian immigration, as well as expansion and conflicts like the Mexican-American War. Western frontier areas experienced violence over social and class differences. Major events discussed include the Louisiana Purchase, Haitian Revolution, and the American Civil War battles of Antietam and Sharpsburg.
G.2 teacher types of triangle and angles of trianglesmbennett78
Triangles can be classified based on their angles or sides. Angle classifications include right triangles with one 90 degree angle, acute triangles with all angles less than 90 degrees, and obtuse triangles with one angle greater than 90 degrees. Triangle side classifications are scalene triangles with no equal sides, isosceles triangles with two equal sides, and equilateral triangles with three equal sides. The document provides examples of different triangle types and homework problems involving angle measures.
How The Americas Change: The Long 19th Centurysusiehiner2011
The document summarizes key events and developments in the Americas during the 19th century. It discusses how native peoples were dominated by Creole elites in Latin America and fought civil wars in both Latin America and the United States over issues like slavery and independence. It also describes the population growth in the Americas from European and Asian immigration, as well as expansion and conflicts like the Mexican-American War. Western frontier areas experienced violence over social and class differences. Major events discussed include the Louisiana Purchase, Haitian Revolution, and the American Civil War battles of Antietam and Sharpsburg.
G.2 teacher types of triangle and angles of trianglesmbennett78
Triangles can be classified based on their angles or sides. Angle classifications include right triangles with one 90 degree angle, acute triangles with all angles less than 90 degrees, and obtuse triangles with one angle greater than 90 degrees. Triangle side classifications are scalene triangles with no equal sides, isosceles triangles with two equal sides, and equilateral triangles with three equal sides. The document provides examples of different triangle types and homework problems involving angle measures.
This document provides 24 examples of different types of triangles classified by their angles and sides. The examples show triangles as scalene, acute, obtuse, isosceles, equilateral, and right triangles with the side lengths and angle measures labeled using numbers, variables, or a combination of both.
This document defines and classifies triangles based on the lengths of their sides and the measures of their interior angles. It explains that triangles can be equilateral, isosceles, or scalene based on whether their sides are all equal, two sides are equal, or all sides are unequal. Triangles can also be right, obtuse, or acute based on whether they have a 90 degree angle, an angle over 90 degrees, or all angles under 90 degrees. The document provides examples and diagrams to illustrate different types of triangles.
G.2 types of triangle and angles of trianglesmbennett78
The document discusses different types of triangles classified by their angles and sides. It describes right triangles which have a 90 degree angle, acute triangles with angles all less than 90 degrees, obtuse triangles with an angle greater than 90 degrees, and equilateral triangles with all three angles congruent. Triangles are also classified as scalene, isosceles, or equilateral based on their side lengths. Students work in groups to measure angles and sides of triangles and classify them. Special triangle theorems are presented including the sum of interior angles equaling 180 degrees and the exterior angle theorem. Examples of using the theorems to solve for unknown angles are provided.
There are four types of triangles: equilateral triangles have three equal sides and three equal angles; isosceles triangles have two equal sides and two equal angles; scalene triangles have no equal sides and all different angles; right-angled triangles contain one 90 degree angle and can be either isosceles or scalene.
Triangles are three-sided polygons that have three angles and three sides. There are three main types of triangles based on side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal). The interior angles of any triangle always sum to 180 degrees. Important triangle properties include the exterior angle theorem, Pythagorean theorem, and congruency criteria like SSS, SAS, ASA. Common secondary parts are the median, altitude, angle bisector, and perpendicular bisector. The area of triangles can be found using Heron's formula or other formulas based on side lengths and types of triangles.
1. The document defines triangles and their properties including three sides, three angles, and three vertices.
2. It explains five criteria for determining if two triangles are congruent: side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and right-angle-hypotenuse-side (RHS).
3. Some properties of triangles discussed are: angles opposite equal sides are equal, sides opposite equal angles are equal, and the sum of any two sides is greater than the third side.
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