Mathematics, 05.07.2019 08:30 Prolearner1234

Which postulate or theorem proves that these two triangles are congruent? sas congruence postulate aas congruence theorem hl congruence theorem asa congruence postulatequadrilateral f g h j with a line segment connecting vertices j and g. angles f and h are each labeled with 1 arc. angles f g j and h j g are each labeled with 2 arcs.

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Answer from: samueltaye

The theorem is: B. AAS Congruence Theorem.

The information given has been sketched out in the image attached below.

The image shows Quadrilateral FGHJ. From the image, we can deduce the following:

There are two triangles, $\triangle FGJ$ and $ \triangle HJG$

Thus:

$\angle F = \angle H$ (congruent angles given)

$\angle FGJ = \angle HJG$ (congruent angles given)

$\overline {JG}$ is a side shared by $\triangle FGJ$ and $ \triangle HJG$ ,

Therefore, $\overline {JG} = \overline {JG}$

From what have been stated above, it implies that:

Two angles and one non-included side in $\triangle FGJ$ are congruent to two corresponding angles and a corresponding non-included side in $\triangle HJG$ .

This satisfies the Angle-Angle-Side Congruence Theorem(AAS) that states that two triangles are congruent to each other if they have two corresponding angles and one corresponding non-included side that are congruent in each of the triangles.

Therefore, the theorem that proves that both triangles are equal is:

B. AAS Congruence Theorem.

Learn more about AAS Congruence Theorem here:

link

Which postulate or theorem proves that these two triangles are congruent? sas congruence postulate

Answer from: christhegreat1

ANSWER

Two triangles are congruent by the AAS Congruence Theorem

Reason

AAS congurence property

In this property two angles and one side of two triangles are equal.

diagram is shown below

In the quadilateral FGHL their exit two triangle .

in the ΔFGJ and ΔGHJ .

∠GFJ = ∠GHJ ( As given )

∠FGJ = ∠GJH ( As given )

JG = JG ( Common )

ΔFGJ ≅ ΔGHJ

by using the AAS congurence property .

Hence proved

Answer from: Quest

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )