Relationships Within Triangles

Presentation

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Mathematics

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10th Grade

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Medium

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CCSS

HSG.CO.C.9, HSG.CO.C.11, HSG.CO.C.10

Standards-aligned

SUSAN TRIBBLE

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3 Slides • 9 Questions

Relationships Within Triangles

Perpendicular Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
If $\overline{CP}$ is the $\perp$ Bisector of $\overline{AB}$ then AC=CB and a right angle is formed where the the two lines meet

Multiple Choice

A line that is perpendicular to a segment at its midpoint is called a ____________.

midsegment

perpendicular bisector

median

altitude

Multiple Choice

A point is ________ from two figures if the point is the same distance from each figure.

equidistant

concurrent

perpendicular

bisected

Multiple Choice

Find the value of x.

Multiple Choice

Find the value of x.

Multiple Choice

What is UT?

A line segment

Multiple Choice

In the isosceles triangle $QRS$ , $\overline{RT}$ is the angle bisector of $\angle QRS$ . You want to prove the base angles of this triangle are congruent. You start by stating $\angle1\cong\angle2$ . What is a valid reason for this statement?

Reflexive property of congruence

Definition of angle bisector

Symmetric property of congruence

Corresponding angles are congruent

Multiple Choice

Given $AM=BM$ and $AC=BC$ , what is $m\angle MBC$ ?

Multiple Choice

Perpendicular Bisector

Angle Bisector

Median

Midsegment

Multiple Choice

What goes from the vertex, bisects the angle at that vertex, and connects to the opposite side?

Angle Bisector

Perpendicular Bisector

Median

Midsegment

Relationships Within Triangles

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