Chapter 4: Congruence of Triangles

Question 0

Postulate

Answer 0

One line can be drawn through two given points

Question 1

Postulate

Answer 1

A line segment can be extended to any length in either direction

Question 2

Postulate

Answer 2

Two lines cannot intersect in more than one point

Question 3

Postulate

Answer 3

One circle can be drawn with any given point as a center and the length of any given line segment as a radius

Question 4

Postulate

Answer 4

At any given point in a given line, on perpendicular line can be drawn

Question 5

Postulate

Answer 5

From a given point not on a given line one perpendicular line can be drawn to the line

Question 6

Postulate

Answer 6

For any distinct points there is one positive real number that is the length of the line segments joining two points

Question 7

Postulate

Answer 7

The shortest distance between two points is the length of the line segment joining the two points

Question 8

Postulate

Answer 8

A line segment has on midpoint

Question 9

Postulate

Answer 9

An angle has only one bisector

Question 10

Theorm

Answer 10

State to proved be deductive reasoning

Question 11

Theorem

Answer 11

If two angles are right angles they are congruent

Question 12

Theorem

Answer 12

If two angles are straight angles they are congruent

Question 13

Adjacent Angles

Answer 13

Two angles in the same plane that have a common vertex and common side but do not have any interior points in common

Question 14

Complementary Angles

Answer 14

Two angles who sum measures 90 degrees

Question 15

Supplementary Angles

Answer 15

Two angles whose sun measures 180 degrees

Question 16

Theorems Involving Pairs of Angles

Answer 16

If two angles are complements of the same angle then they are congruent

Question 17

Theorems Involving Pairs of Angles

Answer 17

If two angles are congruent then their complements are congruent

Question 18

Theorems Involving Pairs of Angles

Answer 18

If two angles are supplements of the same angle then they are congruent

Question 19

Theorems Involving Pairs of Angles

Answer 19

If two angles are congruent then their supplements are congruent

Question 20

Linear Pair of Angles

Answer 20

Two adjacent angles whose sum is a straight angle

• linear pairs are supplementary
• if two lines intersect to form congruent adjacent angles, then they are perpendicular

Question 21

Vertical Angles

Answer 21

Two angles which the sides of one angle are opposite rays to the sides of the second angle

• intersecting lines form vertical angles

Question 22

Congruent Polygons

Answer 22

Polygons that have the same size and shape

Each angle of one polygon is congruent to an angle of the other and each side of one polygon is congruent to a side of the other

Question 23

Corresponding Parts of Congruent Polygons

Answer 23

In congruent polygons, there are corresponding angles and corresponding sides

Corresponding parts if congruent polygons are congruent

Question 24

Congruent Triangles

Answer 24

Corresponding parts of congruent triangles are equal in measure

Question 25

Reflexive Property

Answer 25

Any geometric figure is congruent to itself

Question 26

Symmetric Property

Answer 26

A congruence may be expressed in either order

Question 27

Transitive Property

Answer 27

Two geometric figures are congruent to the same geometric figure

Question 28

Side, Angle, Side (SAS)

Answer 28

Two triangles are congruent if the two sides and the included angle of one triangle are congruent

Question 29

Angle, Side, Angle (ASA)

Answer 29

Two triangles are congruent of two angles and the included side of one triangle are congruent

Question 30

Side, Side, Side (SSS)

Answer 30

Two triangles are congruent if the three sides of one triangle are congruent