Two sides are congruent, then the opposite base angles are congruent

The same measure, length, degrees, etc.

Median connects to a midpoint

A median of a triangle connects a vertex to the midpoint of the opposite side.

Altitude is perpendicular to the base

An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.

The reflexive property states that any geometric figure is congruent to itself.

Centroid of a triangle

The centroid is the point where the three medians of a triangle intersect.

Circumcenter of a triangle

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect.

Perpendicular lines form congruent right angles

When two lines are perpendicular, they intersect to form four right angles.

Perpendicular Bisector

A perpendicular bisector is a line that divides another line segment into two equal parts at a right angle.

Incenter of a triangle

The incenter is the point where the three angle bisectors of a triangle intersect.

Constructing a Copy of a Line Segment

To construct a copy of a line segment, use a compass to measure the length and replicate it on a new line.

Constructing a Copy of an Angle

To construct a copy of an angle, use a compass to replicate the angle's arcs and intersections.

Constructing a Perpendicular Bisector of a Given Line

To construct a perpendicular bisector, draw arcs from both endpoints of the line segment and connect their intersections.

Constructing a Perpendicular Bisector Through a Point ON the Line

To construct a perpendicular bisector through a point on the line, draw arcs from the point and connect their intersections.

Constructing a Perpendicular Bisector Through a Point NOT on the Line

To construct a perpendicular bisector through a point not on the line, draw arcs from the point and connect their intersections.

Constructing a Parallel Line Through a Point and a Given Line

To construct a parallel line, use a compass to replicate the distance between the lines at the given point.

Constructing an Inscribed Triangle

To construct an inscribed triangle, draw a triangle such that all its vertices lie on the circle.

Constructing an Inscribed Square

To construct an inscribed square, draw a square such that all its vertices lie on the circle.

Constructing an Inscribed Hexagon

To construct an inscribed hexagon, draw a hexagon such that all its vertices lie on the circle.

Geometry Concepts Flashcards

Student preview

38 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Midpoint

Back

Cuts a line segment into 2 congruent segments

2.

FLASHCARD QUESTION

Front

Line Segment Addition

Back

AP + PB = AB

3.

FLASHCARD QUESTION

Front

Line Segment Subtraction

Back

AB - AP = PB

4.

FLASHCARD QUESTION

Front

Line Bisector

Back

Cuts a segment into two congruent segments

5.

FLASHCARD QUESTION

Front

Angle Bisector

Back

Cuts an angle into 2 congruent angles

6.

FLASHCARD QUESTION

Front

Angle Addition

Back

∠ABD + ∠DBC = ∠ABC

7.

FLASHCARD QUESTION

Front

Angle Subtraction

Back

∠ABC - ∠DBC = ∠ABD

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