Module 6 Review—Relationships Within Triangles

Select the best answer:

If DA is the perpendicular bisector or EI, then...

• DI=DE

• EA=IA

• Only 2 answers are correct

• All of the above

Tags

CCSS.HSG.CO.C.9

• JM = 5

• JM = 10

• JM = 12

• JM = 24

Tags

CCSS.HSG.CO.C.9

• AD = 12, BC = 5

• AD = 12, BC = 16

• AD = 5, BC = 12

• AD = 12, BC = 8

Tags

CCSS.HSG.CO.C.10

Use the Perpendicular Bisector Theorem to find DC

• 4

• 1

• 2

• 3

Tags

CCSS.HSG.CO.C.9

Find AC.

• AC = 5

• AC = 3

• AC = 27

• AC = 10

Tags

CCSS.HSG.CO.C.10

• 2

• 24

• -2

• 16

Tags

CCSS.HSG.CO.C.10

A midsegment is...

• Three or more lines that intersect at one point

• A line segment connecting the midpoints of two sides of the triangle, and is parallel to the 3rd side and is half as long as that side.

• A line segment connecting the midpoints of two sides of the triangle, and is parallel to the 3rd side and is twice as long as that side.

• A segment whose endpoints are a vertex and the midpoint of the opposite side

Tags

CCSS.HSG.SRT.B.4

Converse of the Angle Bisector Theorem

• The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

• The medians of a triangle are concurrent at a point equidistant from the sides of the triangle.

• If a segment joins two midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long.

• If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.

Tags

CCSS.HSG.CO.C.9

Perpendicular Bisector Theorem

• If a point is on a bisector of an angle, then it is equidistant from the two sides of the angle.

• If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector o the segment.

• If a point is on a perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

• If a point is equidistant from two sides of an angle, then it is on the angle bisector.

Tags

CCSS.HSG.CO.C.9

Converse of the Perpendicular Bisector Theorem

• If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

• If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of a segment.

• If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.

• If a point is equidistant from two sides of an angle, then it is on the angle bisector.

Tags

CCSS.HSG.CO.C.9