Chapter 3 Test

Question 1

Congruent figures

Answer 1

Same size and same shape. They have the same angle measures in same place and same side lengths in the same place

Question 2

Definition of congruent triangles

Answer 2

Corresponding parts of congruent triangles are congruent

Question 3

Do the order of letters matter? What do they tell us?

Answer 3

They do matter, they tell us congruency

Question 4

SSS postulate

Answer 4

If three sides in one triangle are congruent to three sides in another –> the triangles are congruent

Question 5

SAS postulate

Answer 5

If two sides and the included angle in one triangle are congruent to two sides and included angle in another –> the triangles are congruent

Question 6

ASA postulate

Answer 6

If two angles and the included side in one triangle are congruent to two angles and included side in another

Question 7

Isosceles triangle

Answer 7

A triangle which two sides are congruent

Question 8

Isosceles triangle theorem

Answer 8

If two sides of a triangle are congruent then the angles opposite those congruent sides are congruent

Question 9

Converse of isosceles triangle theorem

Answer 9

If 2 angles in a triangle are congruent then the sides opposite those angles are congruent

Question 10

Converse Collary

Answer 10

An equiangular triangle is also equilateral

Question 11

AAS Theorem

Answer 11

If two angles and a non-included side of two triangles are congruent and corresponding –> the triangles are congruent

Question 12

HL Theorem

Answer 12

This is only exclusive to right triangles only. If Hypotenuse and one leg of two right triangles are corresponding and congruent then thee triangles are congruent

Question 13

Median

Answer 13

A segment from a vertex to the midpoint of the opposite side. It has to be inside and through the triangle. It does not have to be a right angle but the sides have to be congruent.

Question 14

Altitude

Answer 14

A segment from a vertex that is perpindicular to the opposite side. It has to have a right angle and the sides do not have to be congruent. If it does not have a right angle, then you have to extend it.

Question 15

Perpindicular Bisector

Answer 15

A line, ray, segment, that is perpindicular to a segment and its midpoint

Question 16

Any point on a perpindicular Bisector is…..

Answer 16

The same distance from each endpoint

Question 17

Perpindicular Bisector Equidistance Theorem

Answer 17

A point lies on the perpindicular Bisector of a segment, then the point is the same distance from the endpoints of the segment

Question 18

Converse Perpindicular Bisector Equidistance Theorem

Answer 18

If and only if a point is the same distance from the endpoints of the segment then a point lies on the perpindcular bisector of a segment

Question 19

Angle Bisector equidistance theorem

Answer 19

If a point lies on the bisector of an angle, then the point is the same distance from both sides of the angle.

Question 20

Converse Angle Bisector equidistance theorem

Answer 20

If a point is the same distance from both sides of the angle, then the point lies on the bisector of an angle

Question 21

What are the five ways to prove two triangles are congruent?

Answer 21

SSS, SAS, ASA, AAS, HL

Question 22

If a line and plane are perpindicular what has to happen?

Answer 22

Only if they intersect and the line is perpindicular to all lines in the plane that pass through the point of intersection.

Question 23

Every triangle has ____ ______ and three ______

Answer 23

three medians + altitudes