"Similar Polygons" similar PPT courseware of graphics 2

Description

"Similar Polygons" similar PPT courseware of graphics 2

The two polygons in the picture are the polygon ABCDEF on the computer display and the polygon A1 B1 C1 D1 E1 F1 projected onto the screen. Are they the same shape?

(1) In the two polygons in the figure above, are there equal interior angles?

∠A=∠A1,∠B=∠B1,∠C=∠C1,∠D=∠D1,∠E=∠E1,∠F=∠F1

(2) In the two polygons in the figure above, are the two sides with equal interior angles proportional?

Hexagon ABCDEF and hexagon A1B1C1D1E1F1 are figures with the same shape;

Among them, ∠A and ∠A1, ∠B and ∠B1, ∠C and ∠C1, ∠D and ∠D1, ∠E and ∠E1, ∠F and ∠F1 are correspondingly equal, which are called corresponding angles;

The ratios of AB and A1B1, BC and B1C1, CD and C1D1, DE and D1E1, EF and E1F1, FA and F1A1 are all equal and are called corresponding sides.

Similar polygon concept:

Two polygons whose angles are equal and whose sides are proportional are called similar polygons.

Similarity ratio concept:

The ratio of corresponding sides of similar polygons is called the similarity ratio.

For example: hexagon ABCDEF is similar to hexagon A1B1C1D1E1F1, and is recorded as hexagon ABCDEF ∽ hexagon A1B1C1D1E1F1, where the value of AB:A1B1 is the similarity ratio.

Note: 1. The similar symbol "∽" is read as "similar to"

2. When remembering that two polygons are similar, write the letters representing the corresponding corner vertices in the corresponding positions.

think about it

1. If two polygons are similar, what is the relationship between their corresponding angles? What about the corresponding side?

Answer: If two polygons are similar, their corresponding angles are equal and their corresponding sides are proportional.

2. If two polygons are not similar, is it possible that their corresponding angles are all equal? Is it possible that corresponding sides are all proportional?

Answer: If two polygons are not similar, their corresponding angles may be equal; if two polygons are not similar, their corresponding sides may also be proportional.

But if two polygons are not similar, then it is impossible for their angles to be equal and their sides to be proportional.

summary

1. Two polygons whose angles are equal and whose sides are proportional are called similar polygons.

2. The ratio of corresponding sides of similar polygons is called the similarity ratio.

3. Corresponding angles of similar polygons are equal and corresponding sides are proportional.

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For more information about the "Similarity of Similar Polygonal Figures" PPT courseware, please click the Similarity ppt tag of similar polygonal ppt figures.

"Positional similarity of similar polygons and figures" PPT courseware 2:

"Positional Similarity of Similar Polygons and Figures" PPT Courseware 2 1. If two ________ polygons ____________________ intersect at one point, we call the two figures similar figures. The intersection point is called ________, and the similarity ratio at this time is also called __..

"Positional Similarity of Similar Polygons and Figures" PPT courseware:

"Positional Similarity of Similar Polygons and Figures" PPT courseware 1. Two polygons with corresponding angles ________ and corresponding sides ________ are called ________. 2. The ratio of the perimeters of two similar polygons is equal to their __________; the ratio of the areas of similar polygons is equal to their _..

"Similar Polygons" PPT courseware:

"Similar Polygons" PPT courseware A=150 AB=6.5mm A'=150 A'B'=13mm B=120 BC=5.5mm B'=150 B'C'=11mm C=105 CD=6mm C'=105 C'D'=12mm D=135 DE=5mm D'=135 D'E'=10mm E=120 EF=7.5mm E'=120 E'..

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Update Time: 2024-10-03

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade First Volume Mathematics industry PPT template

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