Geo 6.7

Consider the three points graphed. What is the value of y in the fourth point that will complete the quadrilateral as a rhombus? Points = (-3, -1); (1, -1); (-1, 3) 4th point = (-1, ? )

4th point (-1, -5)

A parallelogram has vertices A(0, 4), B(2, 2), C(4, 4), and D(2,6). Is this parallelogram a square? Explain why or why not.

The slopes of sides AB and CD are -1, and the slopes of sides BC and DA are 1. Since adjacent sides have opposite reciprocal slopes they are perpendicular and form right angles. This proves that parallelogram ABCD is a square.

What is the most specific name for quadrilateral ABCD? coordinates = A(-1, 0); B(6, 4); C(8, 0); D(1, -4) a. parallelogram b. rectangle c. rhombus d. square

a. parallelogram

Which statements are true about triangle PQR? Check all that apply. a. The length of side PQ is 5 units. b. The length of side QR is 5 units. c. The length of side RP is 5 units. d. PQR is an equilateral triangle. e. PQR is an isosceles triangle. f. PQR is a scalene triangle.

b. The length of side QR is 5 units e. PQR is an isosceles triangle.

Which one of these points lies on the given circle?

c. (2, -sq rt of 5)

The formula for the area of a rectangle is A = lw. What is the area of rectangle WXYZ? a. 16 square units b. 18 square units c. 20 square units d. 22 square units

c. 20 square units

What is the perimeter of triangle ABC? a. 20 units b. 22 units c. 24 units d. 26 units

c. 24 units

Which statement is true about quadrilateral QRST? a. Side QR has a length of 5 units. b. Side RS has a length of sq rt of 40 units. c. Side ST has a length of 6 units. d. Side TQ has a length of sq rt of 17 units.

d. Side TQ has a length of the square root of 17 units