Which of the following criteria always proves triangles congruent?
Select all that apply?
(Select all that apply)
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
3 congruent sides
2 congruent sides
3 congruent angles
Geometry

The criteria that always proves triangles

are congruent are;

Option A; Corresponding congruent Angle-Side-Angle

Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-Side

Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-SideOption D: 3 congruent sides

There are some congruence theorems that prove that two triangles are congruent and they are;

1) SSS; This means Side - Side - Side and it denotes that the 3 corresponding sides of both triangles are congruent.

2) SAS; This denotes Side - Angle - Side and it denotes that the 2 corresponding sides and the included corresponding angle are congruent.

3) ASA; This denotes Angle - Side - Angle and it means that the 2 corresponding angles and the included corresponding side are congruent.

4) AAS; This denotes Angle - Angle - Side and it denotes that the 2 corresponding angles and corresponding non-included side are congruent.

In conclusion, from the options, options A, B & D.

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The correct options are;

3 Congruent sides

Corresponding congruent Angle-Side-Angle

Corresponding congruent Side-Angle-Side

Corresponding congruent Side-Side-Angle

Step-by-step explanation:

The conditions for congruency are;

Two triangles are congruent when

AAS which is the acronym for corresponding Angle-Angle-Side are congruent

SAS  which is the acronym for corresponding Side-Angle-Side are congruent

SSS which is the acronym for corresponding Side-Side-Side are congruent

ASA which is the acronym for corresponding Angle-Side-Angle are congruent.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.