1/3x<9. This is the....may be
Answer:
BD = 8 cm
Step-by-step explanation:
Point O divides the diagonals proportionally, so ...
... AO/AC = BO/BD = 3/4
Then ...
... BO = BD·3/4 . . . . . multiply by BD
... BD = 4/3·BO = 4/3·(6 cm) . . . . . multiply by 4/3; substitute the value of BO
... BD = 8 cm
One <em><u>possible answer </u></em>is:
Draw segments from P to R and from P to Q; the triangles formed will be congruent by the SAS congruence theorem.
Explanation:
Drawing segments from P to R and from P to Q creates triangles PSR and PSQ.
In these two triangles, we know that RS ≅ SQ and PS≅PS.
Since PS is the perpendicular bisector of RQ, we also know that ∠PSR = 90; this is the same as ∠PSQ, so the two angles are congruent.
This means we have two sides and the angle between them congruent; this is the SAS postulate, which proves the triangles are congruent.
Since the triangles are congruent, all corresponding sides are congruent; this means that PR ≅ PQ.