Review: altitudes, medians, angle bisectors, perp bisector

Review: altitudes, medians, angle bisectors, perp bisector

Materials: Scratch paper, pencil, calculator

All Of My Children Are Bring In Peanut Butter Cookies

• Altitude Orthocenter

• Median Centroid

• Angle Bisector Incenter

• Perpendicular Bisector Circumcenter

Multiple Choice

Give the name of the point of concurrency for angle bisectors in a triangle

• Orthocenter

• Centroid

• Incenter

• Circumcenter

Multiple Choice

Give the name of the point of concurrency for medians in a triangle

• Orthocenter

• Centroid

• Incenter

• Circumcenter

Fill in the Blanks

The incenter of a triangle is equidistant from the

of a triangle

Fill in the Blanks

The circumcenter of a triangle is equidistant from the

of the triangle

Multiple Choice

The centroid is ___ the distance from each vertex to the midpoint of the opposite site

• 1/2

• 2/3

• double

• triple

Pythagorean Theorem: a² + b² = c²

can be used for right triangles only

Fill in the Blanks

In the diagram, the perpendicular bisectors of triangle ABC meet at G (the circumcenter). What is the length of AG?

(just type in the number)

Fill in the Blanks

In the diagram, the perpendicular bisectors of triangle ABC meet at G (the circumcenter). What is the length of BD?

(just type in the number)

Fill in the Blanks

In the diagram, the perpendicular bisectors of triangle ABC meet at G (the circumcenter). What is the length of CF?

(just type in the number)

Fill in the Blanks

In the diagram, the perpendicular bisectors of triangle ABC meet at G (the circumcenter). What is the length of AB?

(just type in the number)

Fill in the Blanks

In the diagram, the perpendicular bisectors of triangle ABC meet at G (the circumcenter). If BG = (2x - 15), find x.

(just type in the number)

Fill in the Blanks

Point T is the incenter of triangle PQR. Find ST.

(type in just the number)

Fill in the Blanks

Point T is the incenter of triangle PQR. If TU = (2x - 1), find x.

(type in just the number)

Fill in the Blanks

Point T is the incenter of triangle PQR. 

If m<PRT = 24, what is m<QRT?
(type in just the number)

Fill in the Blanks

Point T is the incenter of triangle PQR.

If m<RPQ = 62, what is m<RPT?

(type in just the number)

Fill in the Blanks

Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18. What is the length of DB?

Fill in the Blanks

Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18. What is the length of EA?

Fill in the Blanks

Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18. What is the length of CG?

Fill in the Blanks

Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18. What is the length of BA?

Fill in the Blanks

Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18. What is the length of GE?

Fill in the Blanks

Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18. What is the length of GD?

Fill in the Blanks

Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18. What is the length of BC?

Fill in the Blanks

Point G is the centroid of ∆ ABC, AD = 8, AG = 10, BE = 10, AC = 16 and CD = 18. What is the length of AF?