Classifying Triangles and Quadrilaterals

Is triangle ABC scalene, isosceles, or equilateral? What are the side lengths?

• Scalene, AC = 4.1, AB = 4, BC = 5

• Isosceles, AC = 4.1, AB = 4, BC = 5

• Scalene, AC = 4.3, AB = 4, BC = 25

• Isosceles, AC = 4.3, AB = 4, BC = 4

Is triangle ABC scalene, isosceles, or equilateral?

• scalene, AB = 4, AC = 4.5, BC = 4.5

• isosceles, AB = 4, AC = 4.5, BC = 4.5

• isosceles, AB = 4, AC = 20, BC = 20

• isosceles, AB = 4, AC = 4.5, BC = 4

Is triangle ABC acute, right, or obtuse?

• right, the slope of AB is 4 and the slope of AC is -1/4, so they are perpendicular

• right, the slope of AC is -5/3 and the slope of BC is 5/3

• right, the slope of AC is -3/5 and the slope of BC is 5/3

• right, the slope of AB is 1/4 and the slope of AC is -4, so they are perpendicular

How can we best classify quadrilateral ABCD?

• PARALLELOGRAM, because BC and AD have the same slope

• TRAPEZOID, because BC and AD have opposite reciprocal slopes

• TRAPEZOID, because BC and AD have the same slope

• QUADRILATERAL, because none of the slopes are the same.

What best describes quadrilateral ABCD?

• PARALLELOGRAM, the slopes of opposite sides are the same so they are parallel

• RHOMBUS, the slopes of opposite sides are the same so they are parallel, and all the sides are congruent.

• PARALLELOGRAM, the slopes of opposite sides are the same so they are parallel and opposite sides are congruent.

• SQUARE, the slopes of opposite sides are the same so they are parallel, and all the sides are congruent.

The best way to classify quadrilateral ABCD is:

• PARALLELOGRAM, because opposite sides have the same slope and none of the sides are perpendicular.

• PARALLELOGRAM, because opposite sides have the same slope and are congruent.

• RECTANGLE, because opposite sides have the same slope and are congruent, and the slope of AB and AD are the same.

• RECTANGLE, because opposite sides have the same slope and are congruent, and the slope of AB and AD are opposite reciprocals.

What are all the names for this Quadrilateral?

• Square, Parallelogram, Quadrilateral

• Square, Rectangle, Quadrilateral

• Square, Rhombus, Quadrilateral

• Square, Rectangle, Rhombus, Parallelogram, Quadrilateral

What type of quadrilateral has four right angles? Select ALL that apply.

• Rectangle

• Square

• Parallelogram

• Rhombus

What has four congruent sides? Select all that apply.

• Rectangle

• Square

• Parallelogram

• Rhombus

• Trapezoid

Tags

CCSS.4.G.A.2

Which quadrilateral is considered a parallelogram with all sides the same length, but with no right angles?

• Rhombus

• Rectangle

• Square

• Trapezoid

Tags

CCSS.4.G.A.2