Download Geometry Part 1 Study Guide

Geometry Part 1 Study Guide
6.G.3

When identifying triangles:
o Isosceles Triangle – A triangle having at least two congruent sides.
o Scalene Triangle – A triangle having no congruent sides.
o Equilateral Triangle – A triangle having three congruent sides
o Acute Triangle – A triangle with 2 acute angles
o Obtuse Triangle – A triangle with one obtuse angle
o Right triangle- a triangle with one right angle
7.G.2
Draw (freehand, with a ruler and protractor, and with technology) geometric shapes with given conditions. Focus
on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique
triangle, more than one triangle, or no triangle.
Important Pieces to Remember:




In order to construct a triangle the sum of the length of the two shorter sides must be greater than the
length of the longest side.
When given two side lengths, there are multiple triangles that can be formed. For example if given the
side lengths 10cm and 11 cm the third side could be 20 cm, 19 cm, 18 cm, etc. (Because 10 + 11=21
therefore the third side must be less than 21.)
The three angles in a triangle must add up to exactly 180 degrees.
If given three angle measurements of a triangle you can make many different triangles. (By changing the
side lengths.)
7.G.5
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi -step problem to write and
solve simple equations for an unknown angle in a figure.
Important Pieces to Remember:





Supplementary angles – always add to 180.
Complementary angles – always add to 90.
Vertical angles – Opposite angles formed by the intersection of two lines (their measures are always
congruent)
Corresponding angles – Angles that have the same position on different parallel lines cut by the same
transversal (measures are always congruent.)
Adjacent angles – two angles that have the same vertex and a common side but do not overlap.
You have an abundance of examples in your notes, on your Word Wall, and in your text book…now go study!