Geometry Triangle

The figure is an example of a(n) ...

• altitude 
• perpendicular bisector
• midsegment
• angle bisector

AP is an angle bisector.  If m∠CAP = 34° , find ∠CAB.

• 17°
• 34°
• 68°
• 90°

HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.

• 50
• 16
• 21
• not enough information

HK and JK are angle bisectors of the triangle. Find m∠KJH.

• 82
• 98
• 49
• 40

Define: CIRCUMCENTER OF A TRIANGLE

• the intersection point of the three perpendicular bisectors of a triangle

• when a circle passes through the three vertices of a triangle

• the point of intersection of three or more lines

• the intersection point of the three angle bisectors of a triangle

The incenter (point where angle bisectors meet) of a triangle is equidistant (same or equal distance) from the __________ of a triangle.

• vertices

• sides

• angle bisector

• circumcenter

Find the circumcenter of the triangle with the given vertices D(10, 7), E(4, 7), and F(4, 3).

• (3, 2)
• (7, 5)
• (14, 10)
• none of these

Find HG

• 28
• 14
• 41
• 7

Write the equation of the perpendicular bisector of the line AB given:
A(1,3) & B(-3,5)

• y - 4 = -2(x - 1)
• y - 4 = 2(x + 1)
• y - 4 = -0.5(x + 1)
• None of these

Simplify √72

• 7√9

• 4√6

• 6√2

• 3√4