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Q: What has 4 equal angles and 2 pairs of matching sides and two lines of symmetry?
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Equal matching angles on parallel lines cut by a transversal?

corresponding and alternate angles

What has only one line of symmetry two sets of equal sides and only one set of matching angles?

An irregular pentagon such as a child's silhouette of a house: a rectangle shape (open at the top) forming the body of the house, with a triangular roof on of the rectangle. The vertical line through the apex of the roof is the line of symmetry. The two walls, and the two roof lines are the two sets of equal sides. The two right angles at the base are the one set of matching angles.

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Show three lines of symmetry?

If your asking what shape has three lines of symmetry, your answer would be an equilateral triangle. You can tell how many lines of symmetry a shape that has all angles of the same measure has by looking at it's angles. Ex., pentagon has five angles--five lines of symmetry; octagon has eight angles, eight lines of symmetry; etc.