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Name Class Date Lesson 44 Using Congruent Triangles: CPCTC Lesson Objective 1 Use triangle congruence and CPCTC to prove that parts of two triangles are congruent NEP 2005 Strand: Geometry Topic:
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To fill out 4 4 using congruent, follow these steps:

01
Start by understanding the concept of congruent shapes. Congruent shapes have the same size and shape, which means that all corresponding sides and angles are equal.
02
Identify the shapes that can be used to fill out 4 4 using congruent. In this case, we need to find shapes that, when combined, will form a 4 by 4 square.
03
One possible shape that can be used is a rectangle with dimensions 2 by 1. This shape has an area of 2 units squared. Therefore, we need to find two congruent rectangles with this size that can be combined to fill out the 4 by 4 square.
04
Explore different options for combining the congruent rectangles to create a 4 by 4 square. For example, one option is to place the rectangles side by side vertically, and then place two more rectangles side by side horizontally on top of the first two.
05
Another option is to place the rectangles side by side horizontally, and then place two more rectangles side by side vertically next to the first two.
06
Experiment with different placements and orientations of the congruent rectangles until you find a configuration that fills out the 4 by 4 square.

Who needs 4 4 using congruent?

01
Students studying geometry: Understanding how to fill out 4 4 using congruent shapes helps develop a deeper understanding of congruence and the properties of different shapes.
02
Architects and designers: Being able to fill out 4 4 using congruent shapes is essential when creating patterns or designs that require a specific area to be filled with congruent units.
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Construction workers: In some cases, construction projects require specific areas to be filled with congruent materials. For example, a paving project might require filling a 4 by 4 section with congruent tiles.
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Puzzle enthusiasts: Filling out a 4 by 4 square using congruent shapes can be a fun challenge for puzzle enthusiasts looking to test their spatial reasoning skills.
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