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GEOMETRY: Chapter 8
8.5: Prove Triangles Similar
by SSS and SAS
Theorem 8.2: Side-Side-Side (SSS)
Similarity Theorem
If the corresponding side lengths of two
triangles are proportional, then the triangles
are similar.
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 388.
Ex. 1:
Is either PQR STU similar to XYZ ?
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389.
Ex. 1:
Is either PQR STU similar to XYZ ?
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389.
Ex. 2:
Find the value of x that makes
XYZ
PQR.
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389.
Ex. 2:
Find the value of x that makes
XYZ
PQR.
Answer: 8
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389.
Theorem 8.3: Side-Angle-Side (SAS)
Similarity Theorem
If an angle of one triangle is congruent to an angle of
a second triangle, and the lengths of the sides
including these angles are proportional, then the
triangles are similar.
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 390.
Ex. 3.
You enlarge XYZ to JHK as shown.
Is XYZ similar to JHK?
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 390.
Ex. 3.
You enlarge XYZ to JHK as shown.
Is XYZ similar to JHK?
A: yes
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 390.
Triangle Similarity Postulates and Theorems
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 390.
Ex.4
Tell what method you would use to show that
the triangles are similar
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 391.
Ex.4
Tell what method you would use to show that
the triangles are similar
Answer: SSS similarity Theorem
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 391.
8.5, p. 492, #1-14 all, 18-23 all
(20 questions)