Classifying Triangles
A triangle with all sides being a different length.
What is a scalene triangle?
The three angles in a triangle add up to this number.
Isosceles triangles have 2 congruent sides, but they also have 2 congruent this.
What are angles?
Two figures are this when they are both the same shape and the same size.
What is congruent?
Triangles have this type of congruence if they have three pairs of congruent sides.
What is side-side-side (SSS)?
A triangle containing an angle that is greater than 90 degrees.
What is an obtuse triangle?
What is an exterior angle?
In an isosceles triangle, if a side opposite of an angle has length 10, then the side opposite of a congruent angle has this length.
What is 10?
A statement that shows that two triangles are congruent to each other. (Hint: 3 words)
What is a full congruence statement?
Triangles have this type of congruence is they have two pairs of congruent sides, and a pair of congruent angles between those two sides.
What is side-angle-side (SAS)?
A triangle with 2 sides being the same length.
What is an isosceles triangle?
According to this theorem, the exterior angle is equal to the sum of the two opposite interior angles.
What is the Exterior Angle Theorem?
In order for a triangle to be equilateral, all three angles must be this type (Hint: they are less than 90 degrees)
What is acute?
If triangle ABC is congruent to triangle QTU, then side BC is congruent to this side.
What is side TU?
Triangles have this type of congruence if they have two pairs of congruent angles, and a pair of congruent sides between those two angles.
What is angle-side-angle (ASA)?
A triangle containing an angle that is exactly 90 degrees
What is a right triangle?
Crossing two lines gives you two pairs of this type of angle, and each angle in the pair is congruent to each other.
What are vertical angles?
In isosceles triangle ABC, angle A is 32 degrees. Angles B and C are congruent. Therefore, angles B and C measure this number of degrees.
What is 74?
If triangle XYZ is congruent to triangle GHI, then angle H is congruent to this angle.
What is angle Y?
Triangles of this type of congruence if they have two pairs of congruent angles, and a pair of congruent sides that is NOT between the two angles.
What is angle-angle-side (AAS)?
A triangle with all 3 sides being the same length.
What is an equilateral triangle?
If the exterior angle is 136 degrees, and one of the interior angles is 75 degrees, another interior angle must be this number.
What is 61 degrees?
Triangle NYZ is equilateral. All three angles measure this number of degrees.
What is 60?
If triangle PSD is congruent to triangle QSD, then side SD is congruent to this side.
What is side SD?
Two triangles have two pairs of congruent angles, and they share a side between those two angles. The triangles have this type of congruence.
What is angle-side-angle (ASA)?