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"Properties of Similar Triangles" Similarity of Figures PPT Courseware 2
Review before class:
(1) What are similar triangles?
Triangles whose corresponding angles are equal and whose corresponding sides are proportional are called similar triangles.
(2) How to determine whether two triangles are similar?
①Two angles are correspondingly equal;
② Both sides are proportional and the included angles are equal;
③The three sides are proportional.
Fill it out
1. The ratio of the corresponding sides of similar triangles is 2:3, then the similarity ratio is ________, and the ratio of the angle bisectors of the corresponding angles is ______.
2. If the similarity ratio of two similar triangles is 1:4, then the ratio of the corresponding heights is _________, and the ratio of the angle bisectors of the corresponding angles is _________.
3． If the ratio of two similar triangles corresponding to the midline is 1/4, then the similarity ratio is ______, and the corresponding height ratio is ______.
Classroom training
It is known that △ABC∽△DEF, BG and EH are the angle bisectors of △ABC and △DEF respectively, BC=6cm, EF=4cm, BG=4.8cm. Find the length of EH.
Solution: ∵ △ABC∽△DEF
∴BC:EF=BG:EH
6∶4＝4.8∶EH
EH＝3.2(cm)
Classroom training
1. If two triangles are similar and the similarity ratio is 3:5, then the ratio of the angle bisectors of the corresponding angles is equal to______.
2. The ratio of corresponding sides of similar triangles is 2:5,
Then the similarity ratio is _______,
The ratio of the angle bisectors of corresponding angles is ______,
The ratio of the circumferences is _________,
The ratio of areas is _________.
Properties of similar triangles
1. The corresponding sides of similar triangles form ____ and the corresponding angles form ______.
2. The ratios of the heights of the corresponding sides, the midlines of the corresponding sides, and the bisectors of the corresponding angles of similar triangles are all equal to ________.
3. The ratio of the perimeters of similar triangles is equal to ________, and the ratio of the areas of similar triangles is equal to ______________.
Outward training
1. It is known that the ratio of the side lengths of two equilateral triangles is 2:3, and the sum of their areas is 26cm2. What is the area of the smaller equilateral triangle?
2. As shown in the figure, FG//BC, AE⊥FG, AD⊥BC, E and D are vertical feet, FG=6, BC=15, then (1) AE: What is AD? (2) If AD=6, find DE=?
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"Properties of Similar Triangles" PPT Courseware 3:
"Properties of Similar Triangles" PPT Courseware 3 Situation Introduction: Known: ABC∽A'B'C', according to the definition of similarity, what conclusions do we have? Viewed from corresponding sides: __________________ Viewed from corresponding angles: __________________ Two triangles..
"Properties of Similar Triangles" PPT Courseware 2:
"Properties of Similar Triangles" PPT Courseware 2 1. The ratios of the corresponding heights, the ratios of the corresponding midlines, and the ratios of the corresponding angle bisectors of similar triangles are all equal to ________. 2. The ratio of the perimeters of similar triangles is _________. 3． The ratio of the areas of similar triangles is equal to______..
"Properties of Similar Triangles" PPT courseware:
"Properties of Similar Triangles" PPT courseware Learning Objectives 1. Master the properties theorem of similar triangles. 2. Master the comprehensive application of the determination theorem and property theorem of similar triangles to solve problems. 3． Further experience the learning idea of analogy. 4. Through similar properties...