Download Analytic Geometry 1.7.1 Notes Warm

Analytic Geometry
1.7.1 Notes
Warm-up: Dasha is making earrings to give her friend as a birthday gift. She has designed a pattern of 3 triangles
stacked on top of one another. Dasha is missing some of the measurements for her project. The given units in the
diagram are in centimeters.
1) Are the triangles similar? Explain your
answer.
2) Is it possible to determine the missing lengths
x, y, and z? If so, determine each value.
Notes:
 The ________________________________________________________ states that if the measures of two sides
of a triangle are proportional to the measures of two corresponding sides of another triangle and the included
angles are congruent, then the triangles are similar.
 The ________________________________________________________ states that if the measures of the
corresponding sides of two triangles are proportional, then the triangles are similar.
 Note that both SSS and SAS are statements for congruency and similarity, but SSS for congruency does NOT
mean the same thing as SSS for similarity (as with SAS).
 A ________________ is a set of justified statements organized to form a convincing argument that a given
statement is true.
 __________________, _________________________, and _____________________________________ can be
used to prove a given statement.
 There are several types of proofs, such as ____________________ proofs, ________________________ proofs,
and ___________ diagrams.
 A good proof MUST include:
1)
2)
3)
4)
Ex 1:
Ex 2:
Ex 4: