Which conjunction is true?

a. an isosceles triangle has two congruent sides and a right angle. a square is a b. rhombus and a rectangle. a kite is rhombus and a parallelogram. a right triangle c. is isosceles and has two acute angles.

Answer explanation:

1 . The given conjunction is : An isosceles triangle has two congruent sides and a right angle.

It can be or cannot be true.  An isosceles triangle can have one right angle and two other angles equal to each other , each being 45°.But it is a special isosceles triangle called ,isosceles Right triangle.

So, this conjunction is not  completely true.

→2. The Given conjunction is : A square is a: Rhombus and a rectangle.

Yes , this conjunction is true, Because ,Square Satisfies all the properties of Rhombus and Rectangle.

The Properties of Square are

1. All sides equal and each interior angle equal to 90°.

2. Opposite sides are parallel.

3. Diagonals bisect each other at right angles.

Properties of Rhombus

1. All sides are equal.

2. Opposite sides are parallel.

3. Diagonals bisect each other at right angles.

Properties of Rectangle

1.Opposite sides are equal.

2. Diagonals bisect each other.

3.Opposite sides are parallel.

4. Each interior angle measures 90°.

⇒Square Satisfies all the properties of Square and rhombus.

Yes, this Conjunction is true.

→→3rd and 4th Conjunction is incorrect, which is→ A kite is rhombus and a parallelogram,is incorrect because kite has,two pair of adjacent sides which are equal, but a rhombus has all sides  equal,whereas parallelogram has opposite sides equal.

→ A right triangle ,is isosceles and has two acute angles.→A right  triangle is isosceles,is a special case, otherwise it has two acute angles and one right angle is true statement,but it is isosceles is not true.

Option B, is a true Conjunction:→ A square is a b.rhombus and a rectangle.