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Determine if these shapes are similar, congruent, or neither. 7 7 4 7 similar congruent 4 6 6 7 neither

Question

Question image 1: 110.PNGQuestion image 2: null

Determine if these shapes are similar, congruent, or neither.

7
7
4
7
  • similar
  • congruent
4
6
6
7
  • neither
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Solution

To determine if the shapes are similar, congruent, or neither, we need to analyze their properties.

  1. Break Down the Problem

    • Shape 1: Triangle with sides 7, 7, and 4.
    • Shape 2: Trapezoid with sides 6, 6, 4, and 7.
  2. Relevant Concepts

    • Similar Shapes: Have the same shape but not necessarily the same size. Corresponding angles are equal, and corresponding sides are proportional.
    • Congruent Shapes: Have the same shape and size. Corresponding sides and angles are equal.
  3. Analysis and Detail

    • Shape Comparison:
      • Shape 1 is a triangle, and Shape 2 is a trapezoid. They have different numbers of sides.
      • Since the shapes are different types (triangle vs. trapezoid), they cannot be congruent or similar.
  4. Verify and Summarize

    • The number of sides and the type of shapes are different, confirming they are neither similar nor congruent.

Final Answer

The shapes are neither similar nor congruent.

This problem has been solved

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