Classify Triangles Distance and Pythagorean

Side Classification: ​ (a)  

Angle Classification: ​ (b)  

• isosceles

• right

• scalene

• obtuse

• equilateral

• acute

Tags

CCSS.4.G.A.2

Use the distance formula to classify the following triangle

• Equilateral

• Scalene

• Isnosceles

• Right angled

Tags

CCSS.HSG.GPE.B.7

How do we prove a triangle is a right triangle?

• Prove all sides are different lenghts

• Show that the three sides satisfy the pythagorean theorem

• Show that opposite angles are congruent

• Show that two sides are congruent

Tags

CCSS.8.G.B.8

Given the vertices of triangle ELV, Leo must prove that it is an isoceles right triangle. Which of the following calculations must Leo do?

• Use the Distance Formula and the Pythagorean Theorem to show that the Pythagorean Theorem is true.

• Use the Midpoint Formula to show that the Pythagorean Theorem is true.

• Use the Midpoint Formula to show that the slopes are perpendicular.

• Use the Slope Formula to show that two side lengths are equal.

Tags

CCSS.HSG.CO.B.7

To prove that triangle ABC is equilateral, Barry decided to show that all side lengths are equal. To do so, which calculation must Barry perform?

• Find the midpoint of each segment, using the midpoint formula.

• Find the length of each segment, using the distance formula.

• Find the altitude, using the distance formula.

• Find the length of the hypotenuse, using the Pythagorean Theorem.

Which of these triangles is a right triangle?

• 6, 8, 10

• 3, 7, 8

Tags

CCSS.8.G.B.8

Classify the triangle by angle and side.

• Right Scalene Triangle

• Right Isosceles Triangle

• Right Equilateral Trianbgle

Tags

CCSS.4.G.A.2

What is the best classification for this triangle?

• Isosceles Acute

• Scalene Acute

• Isosceles Obtuse

• Equilateral

• Scalene Obtuse

Tags

CCSS.4.G.A.2

Classify the triangle by angles and sides.

• Right Scalene

• Right Isosceles

• Acute Isosceles

• Right Obtuse

Tags

CCSS.4.G.A.2

How many times should you use the distance formula to determine if a triangle is scalene, isosceles or equilateral?

• 1

• 2

• 3

• 4

Tags

CCSS.HSG.GPE.B.7