Download Geometry Chapter 4 Syllabus

Geometry Chapter 4
Name_______________ #_____
What you need to learn:
Quadratic Formula
Classifying Triangles by angles (acute, obtuse or right)
Classifying Triangles by sides (Scalene: 0 sides =, Isosceles: at least 2 sides =, Equilateral: 3 sides =
Song: ♫ If you have 3 sides the same in length, it’s equilateral, if you have not any sides the same, it’s
always called scalene. But the one that ends up hard to spell, 2 sides the same you know it well, it’s
I-S-O-S-C-E-L-E-S and it’s isosceles.♫
Angles of Triangles
Congruent Triangles
Triangle Proofs
Isosceles Triangles
SOL: G5, G6, G7
G.5
The student, given information concerning the lengths of sides and/or measures of angles in triangles, will
a) order the sides by length, given the angle measures;
b) order the angles by degree measure, given the side lengths;
c) determine whether a triangle exists; and
d) determine the range in which the length of the third side must lie.
These concepts will be considered in the context of real-world situations.
G.6
The student, given information in the form of a figure or statement, will prove two triangles are congruent,
using algebraic and coordinate methods as well as deductive proofs.
G.7
The student, given information in the form of a figure or statement, will prove two triangles are similar,
using algebraic and coordinate methods as well as deductive proofs.
Notes to be taken in class:
Acute Triangles: all angles less than 90°
3
Obtuse Triangles: one angle greater than 90°
Right Triangle: one right angle
1
2
The three angles in a triangle always add up to 180°.
The exterior angle of a triangle = the sum of the remote interior angles. m 1 m 2 m 3
Congruent Triangles: Triangles are congruent if their corresponding parts are congruent.
Use SSS, SAS, ASA, AAS to prove triangles are congruent.
In RIGHT TRIANGLES you can also use HL, LL, HA, LA
Isosceles triangles: at least 2 sides are congruent. If legs are congruent, the base angles are congruent.
If angles 1 and 2 are = then the
1
sides are equal
2