Determine if each statement is true if
(i) PQRS is a rectangle
(ii) PQRS is a square
In each case, if true, explain why.
(a) PR ? SQ
(b) ?STP ? ?QTR
(c) ?STP = 90°
(d) ?QPT ? ?SRT
(a) True for square (which is a rhombus), but not for non-square rectangle. Diagonals are perpendicular in a rhombus.
(b) True; vertical angles
(c) True for square (which is a rhombus), but not for non-square rectangle. Diagonals are perpendicular in a rhombus so this angle is 90°.
(d) True for square; diagonals bisect vertex angles.
You might also like to view...
Solve the problem.Determine whether (5, -4, 5) is a solution of the system 2x - 3y + 3z = 24 4x + 4y - 3z = -8 3x - 3y + 2z = 23.
A. No B. Yes
Solve the equation.
= 11
A. -11 B. -11, 11 C. 121 D. 11
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?
A. $300,000 B. $360,000 C. $60,000 D. $218,400
Subtract the fractions. Write the answer in lowest terms.
A. 
B. 
C. 
D. 