Question

Which biconditional statement is NOT true? a)Two lines are perpendicular if and only if they intersect to form right angles. b)A triangle is a right triangle if and only if the lengths of its sides are related by the equation a2+b2=c2. c)A quadrilateral is a rectangle if and only if it has exactly four right angles. d)A triangle is equilateral if and only if it has three sides

Answer 1

A) True because perpendicular means 90˚
B) True because the a2+b2=c2 is the pythagoras theorem which ONLY works for right angled triangles
C) Yes this is true
D) An equilateral triangle means all angles must be 60˚. Just having three sides does not mean all angles are 60˚!

Answer 2

Answer:

B

Explanation:

a2+b2=c2 is NOT pythagorean theorem because if it were...it should've looked like this: a^2+b^2=c^2