Question

1. which of the following points has the coordinates (-2,3)?

a. a
b. b
c. e
d. f
e. h

1. which of the following line - segments is not perpendicular to ad?

f. ah
g. cf
h. bg
j. bc
k. de

1. for points a - h, what is the probability that the product of the x - value and the y - value of a randomly chosen point is positive?

a.
b.
c.
d.
e.

1. molly is building a 3 - dimensional project for art class. she has constructed 4 pyramids with square bases. she now wants to color each triangular face of each pyramid so that no two triangular faces are the same color. what is the minimum number of colors that molly can use?

f. 4
g. 8
h. 12
j. 16
k. 20

Explanation:

Step1: Analyze question 11

Locate the point with coordinates (-2,3) among given points. (No further calculations as we assume points are plotted on a graph in context).

Step2: Analyze question 12

Check the perpendicular - ity of line - segments to AD. Perpendicular lines have a 90 - degree angle between them.

Step3: Analyze question 13

For a point (x,y), the product xy>0 when either x>0 and y>0 or x<0 and y<0. Count the number of points in these quadrants and find the probability.

Step4: Analyze question 14

Each square - based pyramid has 4 triangular faces. With 4 pyramids, there are 4×4 = 16 triangular faces. To color them with no two same - colored faces, we need 16 colors.

Answer:

1. (No answer provided as no graph or point - locations are given)
2. (No answer provided as no figure of line - segments is given)
3. (No answer provided as no point - coordinates are given)
4. J. 16