STION 1 In the diagramm below, P(7; 4), Q(6; 6), R(0; 3) and (t; /k) are the vertices of quadrilateral PQRS. R(0:3) e S (tk) Q(6:6) P(7:4) 1.1 1.2 If T 22 Calculate the length of PQ. Leave your answer in surd form. 11 (2) 1 is the midpoint of QS, determine the coordinates of S, (3) 1.3 Show that the coordinates of S are (1; 1), show that PR=QS. (2) 1.4 Show that QR is perpendicular to RS. (4) 1.5 Hence, what type of special quadrilateral is PQRS? Motivate your answer, (2) 1.6 Calculate the size of RSQ. (3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 32E
Question
STION 1
In the diagramm below, P(7; 4), Q(6; 6), R(0; 3) and (t; /k) are the vertices of quadrilateral
PQRS.
R(0:3)
e
S (tk)
Q(6:6)
P(7:4)
1.1
1.2
If T
22
Calculate the length of PQ. Leave your answer in surd form.
11
(2)
1 is the midpoint of QS, determine the coordinates of S,
(3)
1.3
Show that the coordinates of S are (1; 1), show that PR=QS.
(2)
1.4
Show that QR is perpendicular to RS.
(4)
1.5
Hence, what type of special quadrilateral is PQRS? Motivate your answer,
(2)
1.6
Calculate the size of RSQ.
(3)
Transcribed Image Text:STION 1 In the diagramm below, P(7; 4), Q(6; 6), R(0; 3) and (t; /k) are the vertices of quadrilateral PQRS. R(0:3) e S (tk) Q(6:6) P(7:4) 1.1 1.2 If T 22 Calculate the length of PQ. Leave your answer in surd form. 11 (2) 1 is the midpoint of QS, determine the coordinates of S, (3) 1.3 Show that the coordinates of S are (1; 1), show that PR=QS. (2) 1.4 Show that QR is perpendicular to RS. (4) 1.5 Hence, what type of special quadrilateral is PQRS? Motivate your answer, (2) 1.6 Calculate the size of RSQ. (3)
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