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Home > CC4 > Chapter 8 > Lesson 8.1.1 > Problem 8-10

8-10.

Quadrilateral ABCD has coordinates A(3, 2), B(1, 6), C(5, 8), and D(7, 4). 8-10 HW eTool (Desmos). Homework Help ✎

  1. Graph ABCD on graph paper. What shape is ABCD? Justify your answer.

  2. ABCD is rotated 180° about the origin to create ABCD′. Then ABCD′ is reflected across the x-axis to form ABCD″. Name the coordinates of point C′ and point D″.

  3. What are the area and perimeter of ABCD?

Use the Pythagorean Theorem to find the length of the each side. What does this tell you about the shape?
Calculate the slope of each side. What does that tell you about the adjacent sides?

Use the eTool below to help solve each part.
Click the link to the right for the full version: INT1 8-10 HW eTool.