Download Has one 90 degree angle

Tackling Triangles
By Mariah Holbrooks
Triangles
There are many different types of triangles that
can be found everywhere. Our daily life
includes some, if not, all of the types of
triangles.
Right
Scalene
Equilateral
Obtuse
Isosceles
Right Triangle
Has one 90 degree angle
Equilateral Triangle
All angles are the same (60 degrees)
Isosceles Triangle
Has two angles the same and two sides the
same
Scalene Triangle
Has all three angles and all three sides different
Obtuse Triangle
Has one obtuse angle, greater than 90 degrees
Congruent Triangles
• Side-Angle-Side (SAS) Congruence Postulate
If two sides (CA and CB) and the included
angle ( BCA ) of a triangle are congruent to the
corresponding two sides (C'A' and C'B') and
the included angle (B'C'A') in another triangle,
then the two triangles are congruent.
Side-Side-Side (SSS) Congruence Postulate
If the three sides (AB, BC and CA) of a triangle
are congruent to the corresponding three
sides (A'B', B'C' and C'A') in another triangle,
then the two triangles are congruent.
Angle-Side-Angle (ASA) Congruence Postulate
If two angles (ACB, ABC) and the included side
(BC) of a triangle are congruent to the
corresponding two angles (A'C'B', A'B'C') and
included side (B'C') in another triangle, then
the two triangles are congruent.
Angle-Angle-Side (AAS) Congruence Theorem
If two angles (BAC, ACB) and a side opposite one
of these two angles (AB) of a triangle are
congruent to the corresponding two angles
(B'A'C', A'C'B') and side (A'B') in another triangle,
then the two triangles are congruent.
Right Triangle Congruence Theorem
If the hypotenuse (BC) and a leg (BA) of a
right triangle are congruent to the
corresponding hypotenuse (B'C') and leg
(B'A') in another right triangle, then the two
triangles are congruent.
Find the Isosceles triangle
That is correct!
Which triangle is ASA (Angle Side Angle)?
Sorry, that is
incorrect
Georgia Standard
•
•
•
•
MM1G3. Students will discover, prove, and apply properties of triangles,
quadrilaterals, and other polygons.
a. Determine the sum of interior and exterior angles in a polygon.
b. Understand and use the triangle inequality, the side-angle inequality,
and the
• exterior-angle inequality.
– c. Understand and use congruence postulates and theorems for triangles (SSS,
– SAS, ASA, AAS, HL).
• d. Understand, use, and prove properties of and relationships among
special
• quadrilaterals: parallelogram, rectangle, rhombus, square, trapezoid, and
kite.
• e. Find and use points of concurrency in triangles: incenter, orthocenter,
• circumcenter, and centroid.
Resources
Triangle images came from:
Clip Art
Types of triangles
http://home.blarg.net/~math/triangles.html