Determine if these shapes are similar, congruent, or neither. 7 7 4 7 similar congruent 4 6 6 7 neither
Question
Determine if these shapes are similar, congruent, or neither.
7
7
4
7
- similar
- congruent
4
6
6
7
- neither
Solution
To determine if the shapes are similar, congruent, or neither, we need to analyze their properties.
-
Break Down the Problem
- Shape 1: Triangle with sides 7, 7, and 4.
- Shape 2: Trapezoid with sides 6, 6, 4, and 7.
-
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.
-
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.
- Shape Comparison:
-
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.
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