Math II - 2 Week 5 Lesson 4.9, 4.10, 4.11

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect. It is always located inside the triangle.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the altitudes of a triangle intersect. Its position can be inside, outside, or on a vertex of the triangle depending on the type of triangle.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the AA (Angle-Angle) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SSS (Side-Side-Side) similarity criterion?

Back

If the lengths of the corresponding sides of two triangles are proportional, the triangles are similar.

Front

What is the SAS (Side-Angle-Side) similarity criterion?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

How do you find the length of a shadow using similar triangles?

Back

Use the proportion of the heights of the objects to the lengths of their shadows. If h1/s1 = h2/s2, then you can solve for the unknown length.

Front

What is the formula for finding the height of an object using shadows?

Back

Height of object = (Height of reference object / Length of reference shadow) * Length of object's shadow.

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 the center of mass and is always located inside the triangle.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It can be inside, outside, or on a vertex of the triangle.