"Positional Similarity of Similar Polygons and Figures" PPT courseware

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"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 ____________.

3. To identify similar polygons, two conditions must be met: (1) corresponding sides ________; (2) corresponding angles ________, both of which are indispensable.

1. (3 points) Which of the following statements is correct ()

A． Any two isosceles triangles are similar

B． Any two rhombuses are similar

C. Any two regular pentagons are similar

D. Two polygons with equal corresponding angles are similar

2. (3 points) A straight line passing through the midpoints of a set of opposite sides of the rectangle divides the rectangle into two identical rectangles. The relationship between these two rectangles and the original rectangle ()

A． Must be similar

B． Must not be similar

C. Not necessarily similar

D. None of the above statements are correct

13. As shown in the figure, in the trapezoid ABCD, AD∥BC, AD=12 cm, BC=27 cm, E and F are on the two waists AB and CD respectively, and EF∥AD. If the trapezoid AEFD is similar to the trapezoid EBCF, then EF= ________.

14. (10 points) As shown in the figure, in the trapezoid ABCD, AD∥BC, E is a point on the side AB, EF∥BC, and EF divides the trapezoid ABCD into two trapezoids AEFD and EBCF that are similar. If AD=4, BC=9, find the value of AE:EB.

16． (15 points) As shown in the figure, the quadrilateral ABCD is a rectangle, the point F moves on the diagonal AC, EF∥BC, FG∥CD, do the quadrilateral AEFG and the rectangle ABCD always remain similar? Justify your conclusion.

17． (10 points) Cut off a square from a rectangle with a length of 2. The remaining rectangle is similar to the original rectangle. Find the width of the original rectangle.

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"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 __..

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Update Time: 2024-11-19

This template belongs to Mathematics courseware Hebei Education Edition Ninth Grade Mathematics Volume 1 industry PPT template

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