5.3 - Bisectors in Triangles (2)

Front

What is an exterior angle in a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side. It is equal to the sum of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

How do you find the base angles of an isosceles triangle?

Back

In an isosceles triangle, the base angles are equal. You can find their measure by using the formula: (180 - vertex angle) / 2.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line, segment, or ray that passes through the midpoint of a side of a triangle and creates a 90-degree angle with that side.

Front

How do you calculate the measure of an unknown angle in a triangle?

Back

To find the measure of an unknown angle in a triangle, use the triangle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one line has a slope of m, the other line's slope will be -1/m.

Tags

CCSS.HSG.CO.A.1

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

How do you find the slope of a line given its equation in slope-intercept form?

Back

In slope-intercept form (y = mx + b), the slope is represented by 'm'.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect. It is equidistant from all three vertices.

Tags

CCSS.HSG.C.A.3

Front

What is the incenter of a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect. It is equidistant from all three sides.

Tags

CCSS.HSG.C.A.3