Transcript GEOMETRY REVIEW

GEOMETRY REVIEW
Look how far we have come
already!
Chapter 4 (really the most important one)
Congruent figures: same shape and size
Corresponding parts (order matters)
CPCTC
Proving Triangles Congruent
– SAS
– SSS
– ASA
– AAS
– HL
Chapter 4 Isosceles Triangles
Vertex angle
Base angles
If base angles are congruent, two sides
are congruent.
If two sides are congruent, then base
angles are congruent.
Chapter 4 Parts of Triangles
Median: is a segment from the vertex to
the midpoint of the opposite side
Altitude: is the perpendicular segment
from a vertex to the line containing the
opposite side
Perpendicular Bisector: is a line or
segment that is perpendicular to the
segment at its midpoint.
Chapter 5 Parallelograms
Parallelogram: Quad. with opposite sides
that are parallel
– Opp. Angles are congruent
– Opp. Sides are congruent
– Diagonals bisect each other
Proof
– All above or prove one pair of sides parallel
and congruent
Chapter 5 Parallel Lines
If three parallel lines cut off congruent
segments on one transversal, then they
cut off congruent segments on every
transversal.
The segment that joins the midpoint of two
sides of a triangle is parallel to the third
and half as long.
Chapter 5 Special Parallelograms
Rectangle: Quad with four right angles
– Diagonals are congruent
Rhombus: Quad with four congruent sides
– Diagonals are perpendicular
– Diagonals bisect angle
Square: Quad with four equal sides and
angles
Chapter 5 Trapezoids
Trapezoid: Quad with exactly one pair of
parallel sides
The parallel sides are called the bases,
the other sides are the legs.
Isosceles Trapezoid: a trapezoid with
congruent legs
– Base angles are congruent
Median is parallel to bases and is the
average of the two bases