# Characteristics of congruent triangles

Contents

- 1 How do you know if a triangle is congruent?
- 2 What are the 4 conditions of congruence?
- 3 What is congruent condition?
- 4 What are the reasons for congruent triangles?
- 5 What are the two conditions of congruent triangles?
- 6 Where do we use congruent triangles in real life?
- 7 Which two triangles must be congruent?
- 8 How do you prove triangles?
- 9 How do you prove that two right triangles are congruent?
- 10 How do you prove vertical triangles are congruent?
- 11 What additional information is needed to prove the triangles are congruent?
- 12 Can you prove triangles congruent by AAA?
- 13 What else must you know to prove the triangles congruent by ASA?
- 14 What does congruent mean?
- 15 What are congruent figures Examples?
- 16 What is another word for congruent?
- 17 Does equal mean congruent?
- 18 What is opposite of congruent?

## How do you know if a triangle is congruent?

**If**two angles and the included side of one

**triangle**are equal to the corresponding angles and side of another

**triangle**, the

**triangles**are

**congruent**.

## What are the 4 conditions of congruence?

**Conditions for Congruence**of Triangles:- SSS (Side-Side-Side)
- SAS (Side-Angle-Side)
- ASA (Angle-Side-Angle)
- AAS (Angle-Angle-Side)
- RHS (Right angle-Hypotenuse-Side)

## What is congruent condition?

Two triangles are

**congruent**if their corresponding sides are equal in length, and their corresponding angles are equal in measure.## What are the reasons for congruent triangles?

If three sides of one

**triangle**are**congruent**to three sides of another**triangle**, then the**triangles**are**congruent**.Statements | Reasons |
---|---|

2. Angle 1 is congruent to angle 2 |
2. If 2 lines are perpendicular, they form congruent adjacent angles |

3. Segment BA bisects angle YBZ | 3. Given |

## What are the two conditions of congruent triangles?

**Two triangles**are

**congruent**if they meet one of the following

**criteria**. : All three pairs of corresponding sides are equal. :

**Two**pairs of corresponding sides and the corresponding angles between them are equal. :

**Two**pairs of corresponding angles and the corresponding sides between them are equal.

## Where do we use congruent triangles in real life?

**Congruent Triangles**are an important part of our

**everyday world**, especially for reinforcing many structures. Two

**triangles**are

**congruent**if they are completely identical. This means that the matching sides must be the same length and the matching angles must be the same size.

## Which two triangles must be congruent?

If

**two triangles**have the same size and shape they are called**congruent triangles**. If we flip, turn or rotate one of**two congruent triangles**they are still**congruent**. If the sides of**two triangles**are the same then the**triangles must**have the same angles and therefore**must be congruent**.## How do you prove triangles?

## How do you prove that two right triangles are congruent?

Explanation:

**Right triangles are congruent**if both the hypotenuse and one leg are the same length. These**triangles are congruent**by HL, or hypotenuse-leg.## How do you prove vertical triangles are congruent?

When two lines intersect to make an X, angles on opposite sides of the X are called

**vertical**angles. These angles are equal, and here’s the official theorem that tells you so.**Vertical**angles are**congruent**: If two angles are**vertical**angles, then they’re**congruent**(see the above figure).## What additional information is needed to prove the triangles are congruent?

You

**need**at least one pair of**congruent**corresponding sides to**prove**two**triangles are congruent**. If two angles and a non-included side of one**triangle are congruent**to two angles and the corresponding non-included side of a second**triangle**, then the two**triangles are congruent**.## Can you prove triangles congruent by AAA?

Four shortcuts allow students to know two

**triangles**must be**congruent**: SSS, SAS, ASA, and**AAS**. Knowing only angle-angle-angle (**AAA**)**does**not work because it**can**produce similar but not**congruent triangles**.## What else must you know to prove the triangles congruent by ASA?

As we have to

**prove the triangle**congruency by SAS or Side-Angle-Side congruency, so two consecutive side along with their common angle**must**be**congruent**with the other**triangle**. So, if AD becomes**congruent**to BC, then both the**triangle**will be**congruent**.## What does congruent mean?

**Congruent**means same shape and same size. So

**congruent**has to

**do**with comparing two figures, and equivalent means two expressions are equal.

## What are congruent figures Examples?

**Congruent Figures****Visually Defined w/ 9 Fantastic**

**Examples**!- Triangle ABC is
**congruent**to Triangle DEF. - Triangle ACB is
**congruent**to Triangle DFE. - Triangle BAC is
**congruent**to Triangle EDF. - Triangle BCA is
**congruent**to Triangle EFD. - Triangle CAB is
**congruent**to Triangle FDE. - Triangle CBA is
**congruent**to Triangle FED.

## What is another word for congruent?

What is another word for congruent?

compatible | congruous |
---|---|

according | agreeing |

coherent | coinciding |

concordant | conforming |

consonant | corresponding |

## Does equal mean congruent?

**Definition**:

**congruent means**that objects have the same shape. It

**does**not

**mean**that they are ‘

**equal**‘, exactly.

**Equal**should be used to relate the lengths or measurements of two sides, angles or parts of shapes.

## What is opposite of congruent?

Antonyms: incongruent. Definition: not

**congruent**. Antonyms: fraternal, biovular.