Exploring Properties of Quadrilaterals

What is the main focus of Unit 7 in the course?

• Advanced algebraic techniques

• Introduction to calculus

• Proof and conditional probability

• Properties of triangles

Which type of trapezoid has exactly one set of parallel sides and one set of congruent sides?

• Regular trapezoid

• Isosceles trapezoid

• Right trapezoid

• Scalene trapezoid

What unique property does a right trapezoid have?

• All sides are congruent

• Two sets of parallel sides

• Two right angles

• No parallel sides

Which property is common to all trapezoids discussed?

• All sides congruent

• One set of parallel sides

• Congruent diagonals

• Two right angles

Which of the following is a property of all trapezoids?

• Two sets of congruent sides

• All sides are congruent

• One set of parallel sides

• No right angles

What makes a rhombus different from a parallelogram?

• Opposite sides are parallel

• Diagonals are perpendicular

• All sides are congruent

• Diagonals bisect the angles

What happens when diagonals in a rhombus intersect?

• They create four right angles

• They bisect each other

• They are congruent

• They are parallel

In a rhombus, what do the diagonals do to the angles?

• Make them obtuse

• Make them right angles

• Bisect them

• Make them acute

How can you determine the measure of an angle formed by diagonals in a rhombus?

• Use Pythagorean theorem

• Multiply the side length by two

• Add up the angles in a triangle

• Set up an equation with the angle and solve

What is the justification for setting an angle to 90 degrees in the example problem?

• Diagonals are perpendicular

• Diagonals bisect each other

• All sides are congruent

• Diagonals are congruent