Question

determine whether the statements are true or false
27
for the statements that are true, what do the three points have in common?
the points are collinear
the points are coplanar.
the points can be connected to make a triangle
the points are on intersecting lines or segments

Explanation:

Step1: Check B is between A and C

From the figure, B lies on the line - segment AC, so this statement is True.

Step2: Check C is between B and E

C and E are not on the same straight - line segment, so this statement is False.

Step3: Check D is between A and H

D lies on the line - segment AH, so this statement is True.

Step4: Check E is between C and F

E, C, and F are not on the same straight - line segment, so this statement is False.

Step5: Check F is between E and H

F lies on the line - segment EH, so this statement is True.

Step6: Analyze common property of true - statement points

The points that satisfy the "between" condition (A, B, C; A, D, H; E, F, H) are collinear.

Answer:

B is between A and C: True
C is between B and E: False
D is between A and H: True
E is between C and F: False
F is between E and H: True
For the statements that are true, the three points have in common that the points are collinear.