Classifying Triangles in the Coordinate Plane

Classifying Triangles in the Coordinate Plane

Open Ended

Given the coordinates, determine if ΔPQR and ΔXYZ are congruent. If they are congruent, explain your reasoning & write the congruency statement.
  $P\left(-7,\ -1\right),\ Q\left(4,\ 9\right),\ R\left(-2,\ -5\right)$  and  $X\left(-11,\ 4\right),\ Y\left(0,\ -6\right),\ Z\left(-1,\ 3\right)$  

Open Ended

Given the coordinates, determine if ΔABC and ΔDEF are congruent. If they are congruent, explain your reasoning & write the congruency statement.

 $A\left(2,\ -8\right),\ B\left(-5,\ -2\right),\ C\left(-7,\ 3\right)$  and  $D\left(-9,\ 7\right),\ E\left(-11,\ 12\right),\ F\left(-2,\ 1\right)$   

Multiple Choice

An acute triangle has __________ angles that each measure less than 90°.

• one

• two

• three

• four

Multiple Choice

An isosceles triangle has _________ equal sides.

• one

• two

• three

• four

Multiple Choice

A right triangle has one angle that measures _______ and two acute angles.

• 90°

• less than 90°

• more than 90°

• 180°

Multiple Choice

An ____________ triangle has three equal sides.

• isosceles

• equilateral

• scalene

Multiple Choice

An obtuse triangle has one angle that measures _____________ 90°.

• less than

• exactly

• more than

Multiple Choice

A _________ triangle has no equal sides.

• scalene

• isosceles

• equilateral

Multiple Choice

If a triangle has all angles less than 90° and two equal sides, what type of triangle is it?

• Acute Isosceles
• Acute Scalene
• Obtuse Scalene
• Obtuse Isosceles

Multiple Choice

If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it?

• Acute Isosceles
• Acute Scalene
• Obtuse Scalene
• Obtuse Isosceles

Multiple Choice

If a triangle has all three angles equivalent and all three sides equivalent, what type of triangle is it?

• Acute Isosceles
• Equilateral
• Obtuse Scalene
• Obtuse Isosceles

Multiple Choice

If a triangle has one angle exactly 90° and two equal sides, what type of triangle is it?

• Right Isosceles
• Acute Scalene
• Obtuse Scalene
• Obtuse Isosceles

Multiple Choice

Which type of triangle is pictured?

• A

• B

• C

• D

Multiple Choice

Which type of triangle is pictured?

• A

• B

• C

• D

Multiple Choice

A triangle with 3 congruent sides is called a(n) ______

• Isosceles Triangle

• Equilateral Triangle

• Obtuse Triangle

• Irregular Triangle

Multiple Choice

A scalene triangle has _____

• 3 different angle names

• no congruent sides

• all sides congruent

• 3 congruent angles

Multiple Choice

An equiangular triangle has at least ____ congruent angles

• 4

• 3

• 2

• 0

Multiple Choice

In an Isosceles triangle, the side that is opposite the vertex angle is called the _______

• base

• leg

• hypotenuse

• longest side

Multiple Choice

If a triangle with vertices of (-3,0), (0,3), (3,0), classify it by its sides.

• Isosceles

• Scalene

• Equilateral

• Obtuse

Multiple Choice

Points G, H, and I are plotted on the coordinate grid. What is the perimeter (in units) of the triangle that they form?

• 16.64

• 39.64

• 126

• 63

Multiple Choice

Given that P(-4, -2), Q(-2, 2) and R(5, 1) are vertices of a triangle, calculate the perimeter and classify the triangle.

• 21.1, Isosceles

• 21.1, Scalene

• 24.3, Scalene

• 24.3, Equilateral

Multiple Choice

Calculate the length for each side of the triangle.

• AB = 3.6, BC = 4.5, AC = 4.1

• AB = 4.1, BC = 5.6, AC = 7.5

• AB = 4.5, BC = 3.6, AC = 4.1

• AB = 4.1, BC = 3.6, AC = 4.5