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The triangles have the same side lengths.

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Q: What conditions will ensure that two isosceles triangles are congruent?
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How do you make a rhombus out of 4 triangles?

To create a rhombus using four triangles, start by positioning two congruent triangles so their bases align, forming a larger triangle. Then, place the other two congruent triangles in the same manner on the opposite side, ensuring their bases align as well. This arrangement will yield a symmetrical shape with four sides of equal length, which is the defining characteristic of a rhombus. Ensure that the angles of the triangles are appropriately measured to achieve the desired rhombus shape.


What ensures that the new angle will be congruent to the original angle?

There are many different things that can ensure it.


How do you use 1 hexagon and 3 triangles to make a large triangle?

To create a large triangle using one hexagon and three triangles, first, position the hexagon so that one of its sides is aligned horizontally. Then, place the three triangles around the hexagon, with their bases aligned with the hexagon's sides, forming an outward-facing triangle shape. Ensure that the points of the triangles reach outward to complete the larger triangle's vertices. Adjust the positioning to ensure all shapes fit together seamlessly, creating a cohesive larger triangle.


IN the construction of copying an angle how does step 5 ensure that the new angle will be congruent to the original angle?

The answer depends on how you number the steps: there is no universally agreed system.


Why was the Pythagorean theorem invented?

I guess, because one man had an enquiring mind and somehow discovered the relationship between the squares of the sides of triangles. Also they needed to ensure they had right angles for building and the 3-4-5 right angle triangle was perfect for this.