Math 2 week 2

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove that two triangles are congruent if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove that two triangles are congruent if all three sides of one triangle are equal to all three sides of another triangle.

Front

What does it mean if there is 'not enough information' to prove triangle congruence?

Back

It means that the given information does not provide sufficient criteria (like angles or sides) to apply any of the congruence postulates or theorems.

Front

How do you find the values of x and y in a triangle?

Back

You can use the properties of triangles, such as the sum of angles in a triangle being 180 degrees, or the relationships between sides and angles in congruent triangles.

Front

If x + y = 180 and x = 50, what is y?

Back

y = 130.

Front

If x + y = 180 and y = 65, what is x?

Back

x = 115.

Front

In triangle ABC, if angle A = 50° and angle B = 60°, what is angle C?

Back

Angle C = 70° (since the sum of angles in a triangle is 180°).

Front

What is the relationship between the sides of a triangle and its angles?

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the AAS theorem.