P.C.C.
REVISION SHEET.
imilarity
Ratio of areas of to triangles and related properties
a. Base same
b. Height same
c. Both are equal
d. Triangles lie between two parallel
2. Basic proportionality theorem and its converse
3. Angle bisector property.
4. Three parallel lines and transversal property.
SIMILAR TRIANGLES
1. Definition
2. Test of similarity of triangles AAAAA SSS.SAS)
3.Properties of similar triangles (R-ST)
4. Property of areas of two similar triangles.w.suside, median, height, perimeter
5. Rihgt angled triangle and similarity (G.M.)
thagoras Theorem.
1. Definition
2. Theorem of Pythagoras and its converse
3. Pythagoras triplet
4. Application of Pythagoras Theorem (Acute and Obtuse)
5. Geometric mean property.
6. Appollonius Theorem.
Answers
Answer:
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Answer:
Step-by-step explanation:If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.
Similar Triangles
ABDE=BCEF=ACDF
If a line is drawn in a triangle so that it is parallel to one of the sides and it intersects the other two sides then the segments are of proportional lengths:
Similar Triangle
ADDB=ECBE
Parts of two triangles can be proportional; if two triangles are known to be similar then the perimeters are proportional to the measures of corresponding sides.
Continuing, if two triangles are known to be similar then the measures of the corresponding altitudes are proportional to the corresponding sides.
Lastly, if two triangles are known to be similar then the measures of the corresponding angle bisectors or the corresponding medians are proportional to the measures of the corresponding sides.
The bisector of an angle in a triangle separates the opposite side into two segments that have the same ratio as the other two sides:
Angle Bisector Ratio
ADDC=ABBC