# Study sets matching "honors geometry chapter 4"

Study sets

Diagrams

Classes

Users

Acute

Obtuse

Equilateral

Equiangular

A triangle that has 3 angles less than 90 degrees

A triangle that has 1 angle more than 90 degrees

A triangle that has 3 sides congruent

A triangle that has 3 angles congruent

Acute

A triangle that has 3 angles less than 90 degrees

Obtuse

A triangle that has 1 angle more than 90 degrees

Congruent Triangles

SSS postulate

SAS postulate

ASA postulate

2 triangles are congruent if and only if their vertices can be…

If 3 sides of one triangle are congruent to 3 sides of another…

If 2 sides and the INCLUDED angle of on triangle are congruent…

If 2 angles and the INCLUDED side of a triangle are congruent…

Congruent Triangles

2 triangles are congruent if and only if their vertices can be…

SSS postulate

If 3 sides of one triangle are congruent to 3 sides of another…

angle of rotation

center of dilation

center of rotation

center of symmetry

The angle that is formed by rays drawn from the center of rota…

The fixed point in a dilation

The fixed point in a rotation

The center of rotation in a figure that has rotational symmetry

angle of rotation

The angle that is formed by rays drawn from the center of rota…

center of dilation

The fixed point in a dilation

scalene

isosceles

47º

78º

Find the measures of the sides of ∆ABC and classify the triang…

Find the measures of the sides of KPL and classify the triangl…

m∠1=?

m∠2=?

scalene

Find the measures of the sides of ∆ABC and classify the triang…

isosceles

Find the measures of the sides of KPL and classify the triangl…

detour proofs

midpoint formula

perpendicular bisector

distance

proofs in which it is necessary to prove multiple pairs of tri…

used to find midpoints of segs...take the average of their end…

the line that bisects and is perpendicular to the segment

length of the shortest path between two objects

detour proofs

proofs in which it is necessary to prove multiple pairs of tri…

midpoint formula

used to find midpoints of segs...take the average of their end…

Congruent polygons

3rd angle theorem

Side-Side-Side (SSS) Postulate

Side-Angle-Side (SAS) Postulate

Polygon with congruent corresponding sides and congruent corre…

If two angles of one triangle are congruent to two angles of a…

If 3 sides of a triangle are congruent to 3 sides of another t…

If 2 sides and an

**included angle**of one triangle are congrue…Congruent polygons

Polygon with congruent corresponding sides and congruent corre…

3rd angle theorem

If two angles of one triangle are congruent to two angles of a…

Surface area of pyramids

Volume of Pyramid

Surface area of a cone

Volume of a cone

Find the area of the base (B) and the area of each of the tria…

V=(1/3)Bh

SA=... πr²+πrl

V=... 1/3πr²h

Surface area of pyramids

Find the area of the base (B) and the area of each of the tria…

Volume of Pyramid

V=(1/3)Bh

triangle types

isosceles triangle

scalene triangle

equilateral triangle

isosceles, scalene, equilateral, acute, obtuse, right, equilan…

triangle that has 2 or 3 congruent sides

triangle that has no congruent sides

triangle that has 3 congruent sides

triangle types

isosceles, scalene, equilateral, acute, obtuse, right, equilan…

isosceles triangle

triangle that has 2 or 3 congruent sides

Polygon

Concave Polygon

Convex Polygon

Diagonal

A closed figure formed by three or more line segments

Polygon with at least one diagonal outside the polygon

Has no diagonal with points outside the polygon

A line segment connecting non-adjacent vertices of a polygon.

Polygon

A closed figure formed by three or more line segments

Concave Polygon

Polygon with at least one diagonal outside the polygon

SSS Postulate

SAS Postulate

ASA Postulate

The Isosceles Triangle Theorem

If three sides of one triangle are congruent to three sides of…

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

If two sides of a triangle are congruent, then the angles oppo…

SSS Postulate

If three sides of one triangle are congruent to three sides of…

SAS Postulate

If two sides and the included angle of one triangle are congru…

Coordinate Plane Proof step 1

Coordinate Plane Proof step 2

Coordinate Plane Proof step 3

Distance

Draw an accurate figure non Coordinate Plane

use coordinate geometry tools to make the necessary calculatio…

Write a conclusion based on your calculations

Length, equal, congruent

Coordinate Plane Proof step 1

Draw an accurate figure non Coordinate Plane

Coordinate Plane Proof step 2

use coordinate geometry tools to make the necessary calculatio…

polygon

diagonal

convex polygon

concave polygon

a closed figure formed by coplanar segments (sides) such that…

a line segment which connects any 2 non-adjacent vertices

a polygon that contains no interior points and has no angle gr…

a polygon that has an angle greater than 180 degrees

polygon

a closed figure formed by coplanar segments (sides) such that…

diagonal

a line segment which connects any 2 non-adjacent vertices

quadrilateral

parallelogram

parallelogram corollaries

parallelogram diagonal implies 2 congru…

4 sides... named by consecutive vertices, clockwise... can be coplan…

a quadrilateral in which both pairs of opposite sides are para…

opposite sides are congruent... opposite angles are congruent... dia…

a diagonal of a parqallelogram saeperates it into 2 congruent…

quadrilateral

4 sides... named by consecutive vertices, clockwise... can be coplan…

parallelogram

a quadrilateral in which both pairs of opposite sides are para…

Dilation

Translation

Reflection across y axis

Reflection across x-axis

With scale factor k>0 and the center (0,0) males (x,y) to (Kx,…

(X,y) then (x+a,y+b)

(X,y) then (-x,y)

(X,Y) then (x,-y)

Dilation

With scale factor k>0 and the center (0,0) males (x,y) to (Kx,…

Translation

(X,y) then (x+a,y+b)

Congruent figures

Definition of congruent triangles

CPCTC

Side-side-side postulate

Same size and shape

2 triangles are congruent iff their corresponding parts are co…

Corresponding parts of congruent triangles are congruent.

If 3 sides of 1 triangle are congruent to 3 sides of another t…

Congruent figures

Same size and shape

Definition of congruent triangles

2 triangles are congruent iff their corresponding parts are co…

Congruent Triangles

Median

Altitude

THE VERTEX

2 triangles are congruent if and only if all corresponding sid…

A segment of a triangle from a vertex to the midpoint of the o…

A segment of a triangle from a vertex perpendicular to the lin…

A vertex of an isosceles triangle that is between the two cong…

Congruent Triangles

2 triangles are congruent if and only if all corresponding sid…

Median

A segment of a triangle from a vertex to the midpoint of the o…

scalene triangle

isosceles triangle

equilateral triangle

equiangular triangle

A triangle with 3 uneven sides

A triangle with two sides of equal length

A triangle with three equal sides

a triangle with all three angles equal

scalene triangle

A triangle with 3 uneven sides

isosceles triangle

A triangle with two sides of equal length

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

A triangle in which all of the angles are acute angles

A triangle with all angles congruent

A triangle with an obtuse angle

**A triangle with a right angle**... - the side opposite the right…

Acute Triangle

A triangle in which all of the angles are acute angles

Equiangular Triangle

A triangle with all angles congruent

Angle sum theorem

Exterior angle

Interior Angles

Remote interior angles

the sum of the measures of the angles of a triangle is 180

an angle formed outside the triangle from an original side of…

angles inside the triangle

the two inside angles of a triangle that are nonadjacent to th…

Angle sum theorem

the sum of the measures of the angles of a triangle is 180

Exterior angle

an angle formed outside the triangle from an original side of…