Download Geometry—Segment 1 Review

Geometry—Segment 1 Review
Module 1
1 & 2 are adjacent angles (supplementary)
1 & 3 are vertical angles (congruent)
1 & 5 are corresponding angles (congruent)
4 & 5 are same-side interior angles (supplementary)
1 & 8 are same-side exterior angles (supplementary)
4 & 6 are alternate interior angles (congruent)
1 & 7 are alternate exterior angles (congruent)
Constructions are the most accurate and detailed depiction,
followed by drawings and then sketches.
 Undefined terms will be used as foundational elements in
defining other “defined” terms. The undefined terms include
point, line, and plane.
A postulate is considered a known fact. Theorems must be
proven to be true.
Module 2
° Classifying by angles: acute, right, obtuse
° Classifying by sides: equilateral, isosceles, scalene
° Triangle Sums Theorem: the sum of the measures of the angles in a
triangle is 180 degrees.
° Triangle Inequality Theorem: The sum of the lengths of any two sides of a
triangle is greater than the third side.
Isosceles Triangle Theorem
Centroid
Orthocenter
Circumcenter
Triangle Exterior Angle Theorem
Incenter
Module 3
Triangle Proportionality Theorem
° Corollary to the Triangle Inequality Theorem: the third side of a triangle is always
between the sum and the difference of the other two sides.
° Opposite Side/Angle Theorem: the longest side of a triangle is always opposite the
largest angle.
° Congruent triangles - have the same shape AND size
° CPCTC: Corresponding Parts of Congruent Triangles are Congruent
° Congruency postulates are: SSS, SAS, ASA, AAS
° Similar triangles - have the same shape but sides are proportional
° Angle-Angle Similarity Postulate: when the corresponding angles of two or more
triangles are congruent, the triangles are similar.
° Similarity Postulates are: SSS Similarity Postulate, SAS Similarity Postulate
Pieces of Right Triangles Similarity Theorem
Module 4
SOH—CAH—TOA
CHO—SHA—CAO
Pythagorean Theorem
Module 5
Properties of Parallelograms
- Both pairs of opposite sides
are congruent and parallel
- The diagonals bisect each
other
- Both pairs of opposite angles
are congruent
- Consecutive angles are supplementary
Special Right Triangles
45-45-90
Properties of Rectangles
- ALL PROPERTIES OF A
PARALLELOGRAM PLUS…
- Contains four right angles
- The diagonals are
congruent
Properties of Rectangles
- ALL PROPERTIES OF A
RECTANGLE PLUS…
- All four sides are congruent
- The diagonals are
perpendicular
- The diagonals bisect the
angles
Properties of Rhombi
- ALL PROPERTIES OF A
SQUARE EXCEPT...
- Does NOT have four right
angles
Properties of Trapezoids
- Exactly one pair of parallel
sides
- Consecutive angles
between the bases are
supplementary
- Two special types: right
and isosceles
30-60-90
Properties of Kites
- Two pairs of adjacent, congruent
sides
- Non-vertex angles are congruent
- Diagonals are perpendicular
- Diagonals bisect each other