Two angles are congruent if they have the same measure. You already know that when two lines intersect the vertical angles formed are congruent….Geometry.

Statements Reasons
1. ?BD is the angle bisector of ?ABC Given
2. ?ABD ~= ?DBC Definition of angle bisector
3. m?ABD = m?DBC Definition of

## What are base angles?

: either of the angles of a triangle that have one side in common with the base.

## Are base angles equal?

Measuring Base Angles Recall that the base angles are equal

## What is the converse of base angles Theorem?

The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent

## Are two angles equal in an isosceles triangle?

In an isosceles triangle, there are two base angles and one other angle. The two base angles are equal to each other. So say you have an isosceles triangle, where only two sides of that triangle are equal to each other.

## Do isosceles triangles have 2 equal angles?

An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

## What are the two features of an isosceles triangle?

Isosceles Triangle Properties An Isosceles Triangle has the following properties: Two sides are congruent to each other. The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle. The two angles opposite to the equal sides are congruent to each other.

Convex polygon

## What is the measure of each acute angle of an isosceles right angle triangle?

Note that since the right triangle is isosceles, then the angles at the base are equal. (Theorem 3.) Therefore each of those acute angles is 45°. (For the definition of measuring angles by “degrees,” see Topic 12.)

## Can a triangle be formed given any two angle measures?

It is not always possible to construct a triangle from a given side length and two angles. If the two given angles add to more than 180°, the sides of the triangle will diverge and never meet.

## Can multiple triangles be drawn with two sides lengths of 6 inches and a non included angle of 60?

It is possible to draw more than one triangle has the side length and angle measures as given. Depending on which end of the line you draw the angles, and whether they are above or below the line, four triangles are possible. All four are correct in that they satisfy the requirements, and are congruent to each other.

## How many triangles can you make with SAS?

5.9 Possible Triangles with Side-Side-Angle