"How to Determine Similarity of Triangles" PPT Courseware 2

"How to Determine Similarity of Triangles" PPT Courseware 2
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"How to Determine Similarity of Triangles" PPT Courseware 2

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"How to Determine Similarity of Triangles" PPT Courseware 2

1. How to determine whether two triangles are similar?

1. Definition method:

2. Parallel method:

3. (AA), (SAS)

2. What are some simple ways to determine whether triangles are congruent?

SSS, SAS, ASA(AAS), HL

guess?

Is there any other simple way to determine whether two triangles are similar?

Draw a triangle at will, and then draw another triangle so that the length of each side is k times the length of each side of the original triangle. Measure the corresponding angles of the two triangles. Are they equal? Are these two triangles similar? Communicate with your deskmates to see if you come to the same conclusion.

(SSS) Determination Theorem: If the ratios of the three corresponding sides of two triangles are equal, then the two triangles are similar.

Simply put: three sets of two triangles with equal side ratios are similar.

To make two triangular frames of the same shape, one of the three sides of the triangular frame has lengths of 4, 6, and 8 respectively. The length of one side of another triangular frame is 2. What should be the lengths of its other two sides? How many answers do you have?

Tip: There are three options to make the length of another triangle

The side with length 2 corresponds to the sides with lengths 4, 6, and 8.

2:4=x:6=y:8

x:4=2:6=y:8

x:4=y:6=2:8

Summary: How many methods are there to determine similar triangles?

1. The definition and judgment method is relatively complicated and cumbersome.

2. Parallel judgment method can only be used in specific graphics.

3. (AA), (SAS) (SSS)

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"How to determine whether triangles are similar" PPT courseware:

"How to Determine Similarity of Triangles" PPT Courseware Scenario Introduction There is a thin line of unknown length. How to quickly divide this thin line into five equal parts without measuring? Explore: Straight lines l1 and l2 are intercepted by parallel straight lines l3 and l4. The intersection points are ABCD respectively. The intersection points are AB..

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Update Time: 2024-10-19

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