jennanewland15
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

geometry! please help!

Geometry Please Help class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  1. rhombus
  2. square
  3. rectangle
  4. square

Step-by-step explanation:

It is convenient to look at the differences of end point coordinates.

For a square, the values will be interchanged and one negated.

For a rhombus, the dot product will be zero.

For a rectangle, their sum of squares (diagonal length) will be the same.

__

1. VX = X - V = (11 -3, 4 -0) = (8, 4)

  WY = Y -W = (8 -6, 0 -4) = (2,-4)

The numbers are different, so it is not a square. The dot product is ...

 (8)(2) + (4)(-4) = 16 -16 = 0

So, the figure is a rhombus.

__

2. LN = (6 -1, 3 -2) = (5, 1); MP = (4 -3, 0 -5) = (1, -5)

The figure is a square.

__

3. HK = (12 -1, 0 -3) = (11, -3); JL = (3 -10, -3 -6) = (-7, -9)

The lengths of the diagonals are ...

  √(11^2 +3^2) = √130  and  √(7^2 +9^2) = √130

Diagonals are the same length, so the figure is a rectangle.

__

4. EG = (-2 -(-4), -1 -3) = (2, -4); FH = (-5 -(-1), 0 -2) = (-4, -2)

The figure is a square.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.