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Geometry
December 1, 2016
Review: Triangle Congruence
DO NOW
• Draw and label each object.
1. ∠𝐴𝐵𝐶
2. 𝐷𝐸
4. If Δ𝐽𝐾𝐿 is equilateral, what is 𝑚∠𝐽?
3. Δ𝐹𝐺𝐻
Agenda
• Announcements (2nd hour only)
• Do Now
• Review
• Jeopardy!
I can name congruent
objects, and
determine if triangles
are congruent.
Objective/Big Question
Review material for chapter 4 test
(Friday)
4.1: Polygon Congruence
•Two polygons are congruent if you can
match each vertex and side one-to-one.
4.1: Polygon Congruence
•Two polygons are congruent if you can
move one to exactly cover the other.
4.1: Naming Congruent Polygons
•Polygons are named by listing the
vertices.
4.1: Triangle Congruence
•Two triangles are congruent if their
corresponding angles and sides are
congruent.
4.1: “CPCTC”
CPCTC: Corresponding Parts of Congruent
Triangles are Congruent
4.2: Side-Side-Side Congruence
Two triangles are congruent if and only if all their
corresponding sides are congruent.
4.2, 4.3: “Included”
An “included” angle is formed
by two sides
An “included” side is between
two angles
4.2: Side-Angle-Side Congruence
Two triangles are congruent if and only if two
sides and the included angle are congruent.
4.3: Angle-Side-Angle
Two triangles are congruent if and only if two
angles the included side are congruent.
4.3: Angle-Angle-Side
Two triangles are congruent if and only if two
angles and one side are congruent.
Right Triangle Terminology
4.6: Hypotenuse-Leg
Two right triangles are congruent if and only if
one leg and the hypotenuse are congruent.
4.2, 4.3, 4.6: Summary
SSS: Three pairs of congruent sides
SAS: Two pairs of congruent sides and the
included angle
ASA: Two congruent angles and the included side
AAS: Two congruent angles and a non-included
side
HL: A right angle, a leg, and a hypotenuse
3.5: Third Angle Theorem
Given two triangles, if
two pairs of their
angles are congruent,
the third angles are
also congruent.
3.5: Triangle Sum Theorem
The sum of the angles of a triangle is always 180°
3.5: Exterior Angle Theorem
4.5: Isosceles Triangle
Every isosceles triangle
has two congruent SIDES
and two congruent
ANGLES.
4.5: Equilateral Triangle
A triangle has three
congruent angles if and
only if it is EQUILATERAL.
4.7: Overlapping Triangles
Try redrawing each triangle separately:
Practice