Download presentation
Presentation is loading. Please wait.
Published byMabel McDonald Modified over 9 years ago
1
SIMILARITY: A REVIEW A REVIEW Moody Mathematics
2
Midsegment: a segment that joins the midpoints of 2 sides of a triangle? Moody Mathematics
3
A Midsegment is parallel to one side of the triangle and half of its length. Moody Mathematics
4
x 16 Find x, the length of the midsegment X = 8 Moody Mathematics
5
8 midsegments x y 7 20 Find x, y, z z Moody Mathematics
6
8 midsegments x y 7 20 x=8, y=10, z=14 x=8, y=10, z=14 z Moody Mathematics
7
Property of Proportions #1 Moody Mathematics
8
Property of Proportions #2 Moody Mathematics
9
Property of Proportions #3 Moody Mathematics
10
Property of Proportions #4 Moody Mathematics
11
Property of Proportions #5 Moody Mathematics
12
PRACTICE:
19
Definition: Polygons are similar if: 1. Corresponding Angles are congruent 2. Corresponding sides are in proportion Moody Mathematics
21
8 10 7.5 x 12 y w Find w, x, y, z in these similar trapezoids z Moody Mathematics
22
8 10 7.5 x 12 y w z Moody Mathematics
23
8 10 7.5 x 12 y w W=60 o z X=9.375 Y=9.6 Z=120 o Moody Mathematics
24
Similar Triangles Moody Mathematics
25
AA Postulate: If 2 angles of one triangle are congruent to 2 angles of another triangle, then the 2 triangles are similar. Moody Mathematics
26
SSS~ Postulate: If all 3 sides of two triangles are in proportion, then the triangles are similar. Moody Mathematics
27
SAS~ Postulate: If 2 sides of two triangles are in proportion and their included angles are congruent, the triangles are similar. Moody Mathematics
28
PRACTICE:
29
4 7 10 17.5 Similar? Yes by SAS~ Yes by SAS~ Moody Mathematics
30
Similar? 6 5 8 8.4 7 11.2 Yes by SSS~ Moody Mathematics
31
Similar? Yes by AA Moody Mathematics
32
62 o 48 o 50 o Similar? No! Corresponding angles are not congruent. No! Corresponding angles are not congruent. 68 o 70 o Moody Mathematics
33
8 4 7 x Find x Moody Mathematics
34
4 6 9 Find x x Moody Mathematics
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.