Geometric formulas and theorems (middle) some commonly used mathematical formula 1 had two points and only a straight line 2, the shortest line between two points 3, the supplementary angle with the same angle or isometric 4 with the same angle or is
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用全等变换来学习全等三角形（Learn congruent triangles by congruent transformations）.doc 12页
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用全等变换来学习全等三角形（Learn congruent triangles by congruent transformations）
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用全等变换来学习全等三角形（Learn congruent triangles by congruent transformations）Collected by oneselfFor reference onlyIn case of errorPlease correct me! ThanksLearn congruent triangles by congruent transformationsZhongxiang, Hubei Province, Luo Ji one (431925) Xiong ZhixinThe concept of congruent triangles is the basis for the study of congruent trianglesIn teaching, let students through observation, thinking, get translation, flip, rotate before and after the graphics of congruent conclusionsIt makes it easier for students to find the corresponding elements of congruent trianglesUse congruent transformations to think about congruent trianglesCan make the question simple and clearI. understanding of the concept of congruent trianglesThe two triangles that overlap perfectly are called congruent trianglesSo how do you understand it in your study?1. corresponding elementsCongruent triangles involve two triangular positions, shapes, and sizesIt also concerns their vertices, angles, and edges(1) corresponding vertex: when two congruent triangles coincide completelyThe vertices that coincide with each other are called corresponding vertices(2) corresponding sides: when two congruent triangles coincide completelyThe sides that overlap each other are called corresponding sides(3) corresponding angle: when two congruent triangles coincide completelyThe angles that coincide with each other are called corresponding angles2. the nature of congruent trianglesCongruent triangles change positions onlyTwo triangles without changing the shape or size of a triangleThe definition of congruent trianglesThe important properties of congruent triangles can be obtained:(1) equal sides of congruent triangles are equalThe corresponding angles of congruent(2) the circumference and area of congruentIn the future, constantly learning processThe students will find out:(3) the corresponding angles of bisector, bisector, the middle line on the corresponding edge, and
正在加载中，请稍后...Congruent Triangles
Congruent Triangles
Triangles are congruent when they
exactly the same three sides and exactly the same three angles.
What is &Congruent& ... ?
It means that one shape can become another using Turns, Flips and/or Slides:
for more info)
Congruent Triangles
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.
The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Same Sides
When the sides are the same then the triangles are congruent.
For example:
is congruent to:
because they all have exactly the same sides.
is NOT congruent to:
because the two triangles do not have exactly the same sides.
Same Angles
Does this also work with angles? Not always!
Two triangles with the same angles might be congruent:
is congruent to:
only because they are
the same size
But they might NOT be congruent because of different sizes:
is NOT congruent to:
because, even though all angles match, one is larger than the other.
So just having the same angles is no guarantee they are congruent.
Other Combinations
other combinations of sides and angles that can work ...
... read more at
When two triangles are congruent we often mark corresponding sides and angles like this:
is congruent to:
The sides marked with one line are equal in length. Similarly for the sides marked with two lines. Also for the sides marked with three lines.
The angles marked with one arc are equal in size. Similarly for the angles marked with two arcs. Also for
the angles marked with three arcs.}