Question

1. A quadrilateral has vertices (5, 3) (5,-1) (-1,3) and (-1,-1). What special quadrilateral is formed by connecting the midpoints of the sides?
A. rectangle
B. rhombus
C. kite
D. trapezoid

2. What type of quadrilateral is formed by connecting the points (0,9) (3,6) (0,1) and (-3,6)?

A. rhombus
B. trapezoid
C. kite
D. quadrilateral

Answer 1

Answer:

1. Kite,

2. Kite.

Step-by-step explanation:

1. The quadrilateral form will have 2 equal  pairs of adjacent sides which is a kite.

2. Find the slope and length of the sides:-

slopes (9-6)/ 0-3) = -1

(6-1) / (3-0) = 5/3

(6-1) / (-3-0) = -5/3

(9-6)/(3) = 1

Lengths = sqrt(9 + 9) = sqrt18

sqrt(25 + 9) = sqrt34

sqrt (25 + 9) = sqrt34

sqrt (9 + 9) = sqrt18.

This is another kite.