Download Geometry - lovelacehomework

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Multilateration wikipedia , lookup

Simplex wikipedia , lookup

Symmetric group wikipedia , lookup

Dessin d'enfant wikipedia , lookup

Golden ratio wikipedia , lookup

Technical drawing wikipedia , lookup

Noether's theorem wikipedia , lookup

Tessellation wikipedia , lookup

Apollonian network wikipedia , lookup

History of geometry wikipedia , lookup

Rational trigonometry wikipedia , lookup

Euler angles wikipedia , lookup

Trigonometric functions wikipedia , lookup

Reuleaux triangle wikipedia , lookup

History of trigonometry wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Integer triangle wikipedia , lookup

Euclidean geometry wikipedia , lookup

Transcript
Geometry
4.3
Congruent Triangles
 Congruent polygons - two geometric
figures that have the same shape and
size
 In these, all of the parts of one polygon
are congruent to the corresponding
parts or matching parts of the other.
Ex 1
 Show that the two polygons are congruent by
identifying all congruent corresponding parts. Then
write a congruence statement.
Example 2
 Triangle ABC is congruent to Triangle DEF. Find
the values of x and y.
A
7.5
75̊
65 ̊
F
11
E
6y -14
40 ̊
B
13
C
D
Theorem 4.3: Third angles
 If two angles of one triangle are
congruent to two angles of a second
triangle, then the third angles of the
triangles are congruent.
Theorem 4.4: Properties of
Triangle Congruence
Triangle congruence is:
reflexive
symmetric
transitive
Homework
 Page 257: 4-8 all, 10, 12, 13-20 all,

28, 48-51 all