How do I use properties of congruence to find unknown values?

Always list the corresponding vertices in the same order. You might want to know if the angles are congruent or not for one to be able to solve your problem. Also all the angles MUSt equal to 180 degrees. When you are working with isosceles trianlges, you will always have a vertex angle, one leg on each side of a triangle, a base angle and a base. The Base angle Therom means if all the sides are congruent then the angles will be congruent. Base Angle Converse means if the bass is congruent, then the legs are congruent.Base Angle therom-Corollary, if a triangle is equilateral, then it is equilangular and The Base angle converse-Corollary, if a triangle is equilanglar, then it is equilaterial. When you are looking for properties of congruence, you will be looking for a congruent statement, corresponding angle and corresponding sides.

How do I use triangle sum properties to find unknown values?

One way to be able to use the triangle some properties to find unknown values can be by being able to classify a triangle either by its sides or angles. For example some of these trianlges that are classified by its sides are scalene which have no congruent sides, isosceles, at least two congruent sides and the equilateral triangle which all three sides are congruent and some of the triangles that are classified by angles are the acute, obtuse,equiangular and right triangles. They all share a vertex. Such angles are equal in measure and can be described as congruent. Also something important you should remember is that the sum of the three angles in a triangle is always 180 degrees, A+B+C=180. Exterior angles of triangles- Angles that form linear pairs with the interior angles. Some of the different terms when you are lokking for trinagle sum properties are Interior Angles Of triangles, Triangle Sum Therom, Corollary, and the Exterior Angles Therom.

How do I write linear equations passing through a given point?

A linear euation is an equation whose graph is a line.First while solving or trying to write linear equations, you MUST know your x and y intercept. The x value is always undefined and is the vertical line and the y value is ZERO and is the horzontial line on a graph. You also have to remember the x is the indepenedent variable and the y is the depenedent. The x intercept is a point on a line that touches the x-axis (always at the coordinate point) (X,0). The y intercept is a point where a line touches the y-axis (Y,0).
While solving a linear equation you may need to use slope intercept form which is y=mx+b or either standard form which is Ax+By=C but standard form may also be changed to slope intercept form. When you are graphing points that are perpendicular that pass through a line, you need to find the slope, make it into a fraction, change the reciprical and then change the sign.

Geometry

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