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The scale factor of triangle ABC to triangle XYZ can be determined by comparing the lengths of corresponding sides of the two triangles. To find the scale factor, divide the length of a side in triangle ABC by the length of the corresponding side in triangle XYZ. If all corresponding sides have the same ratio, that ratio is the scale factor for the triangles.

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What else would need to be congruent to show that triangle abc congruent to xyz by asa?

To show that triangle ABC is congruent to triangle XYZ by the ASA (Angle-Side-Angle) criterion, we need to establish that two angles in triangle ABC are congruent to two angles in triangle XYZ, along with the side that is included between those angles being congruent. Specifically, if we have ∠A ≅ ∠X, ∠B ≅ ∠Y, and side AB ≅ XY, then the triangles can be concluded as congruent by ASA. Thus, we would need to confirm the congruence of these angles and the included side.


What else would need to be congruent to show that triangle ABC triangle XYZ by ASA?

To show that triangle ABC is congruent to triangle XYZ by the Angle-Side-Angle (ASA) criterion, we need to establish that one pair of angles and the included side between them are equal in both triangles. Specifically, if we already have one pair of equal angles (∠A = ∠X) and the included side (AB = XY), we would also need to show that the second pair of angles (∠B = ∠Y) is equal. With these conditions satisfied, triangle ABC would be congruent to triangle XYZ by ASA.


Prove that the three times the sum of squares of sides of triangle is equal to four times of its median?

Let the triangle be ABC and its medians by AX and BY and CZ. Therefore, since AC=AB, and OP=BD. Therefore, By Triangle Equiangular Property, Triangle ABC simliar to Triangle XYZ Therefore, Three times the sum of the squares of sides of triangle equal to 4 times of its median.:) Hope it helped.


Determining whether two triangles are similar?

If two triangles have the same shape but one is an enlargement of the other they are said to be similar. The two triangles must be equi-angular. To prove that ∆ABC is similar to ∆XYZ it is necessary to prove one of the following :- 1) Two angles in ∆ABC are equal to two angles in ∆XYZ, since it follows that the third angles will also be equal. 2) The three sides of ∆ABC are proportional to the corresponding sides of ∆XYZ AB/XY = AC/XZ = BC/YZ 3) Two sides in ∆ABC are proportional to two sides in ∆XYZ and the angles included between these sides in each triangle are equal. AB/XY = AC/XZ and angle A = angle X.


Can you name 3 different triangles with showing the picture?

Three triangles are: scalene, which has three sides of different lengths, isosceles, which has two sides with the same length, and equilateral, which has three sides that are all the same length. In the picture, the scalene triangle is triangle RST, the isosceles triangle is triangle XYZ, and the equilateral triangle is triangle ABC. If two sides or more sides of a triangle have a little line on them, then they are the same length. Click on the related link, "Three Triangles", to see them.

Related Questions

What else would need to be congruent to show that triangle ABC equals triangle XYZ by aas?

Nicki Minaj


Is triangle ABC triangle XYZ?

To determine if triangle ABC is congruent to triangle XYZ, we need to compare their corresponding sides and angles. If all three sides of triangle ABC are equal in length to the corresponding sides of triangle XYZ, and all three angles of triangle ABC are equal in measure to the corresponding angles of triangle XYZ, then the triangles are congruent by the Side-Side-Side (SSS) congruence criterion. If not, we can check for congruence using other criteria such as Side-Angle-Side (SAS) or Angle-Side-Angle (ASA).


What is the scale factor of XYZ to UVW?

1/5


What else would need to be congruent to show that triangle abc equals xyz by sas?

bh=ws


A triangle ABC and its translated image XYZ are shown at right?

No, nothing is shown at right!


abc?

sc


What is the opposite of abc?

XYZ


Which property is illustrated by the following statement if ABC is congruent to def and def to xyz then ABC is congruent to xyz?

Transitive


Prove that the three times the sum of squares of sides of triangle is equal to four times of its median?

Let the triangle be ABC and its medians by AX and BY and CZ. Therefore, since AC=AB, and OP=BD. Therefore, By Triangle Equiangular Property, Triangle ABC simliar to Triangle XYZ Therefore, Three times the sum of the squares of sides of triangle equal to 4 times of its median.:) Hope it helped.


WHAT IS BETWEEN AND?

To be a meaningful question this should read "what is the difference between xyz and abc, where xyz and abc are two different things, or the same thing with different names.


Given that ABC XYZ what is the measure of Z?

96


What company makes ABC laundry detergent?

ABC laundry detergent is manufactured by XYZ Company.