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Frances drew ABC and DEF so that A D AB 4 DE 8 AC 6 and DF 12. Are ABC and DEF similar?

To determine if triangles ABC and DEF are similar, we can use the side lengths given. The ratios of the corresponding sides must be equal. For triangle ABC, the sides are AB = 4, AC = 6, and the unknown BC, while for triangle DEF, the sides are DE = 8, DF = 12, and the unknown EF. The ratio of AB to DE is 4/8 = 1/2, and the ratio of AC to DF is 6/12 = 1/2, which are equal. Therefore, triangles ABC and DEF are similar by the Side-Side-Side (SSS) similarity criterion.


Calculate the scale factor of ABC to DEF Enter answer as a whole number or as a fraction in lowest terms?

This appears to be a comparison of two similar triangles. Measure the length of a corresponding side of each triangle. Let the side having the shorter length be b, and c the side having the longer length. Then the scale is b : c or b/c If possible multiply or divide the numbers forming the ratio to provide an answer in its lowest terms.


How does a scale factor relate to a scale factor?

Tautologically!


How does scale factor relate to perimeter?

Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.


What are congruence theorems and postulates?

If the sides AB, BC and CA of triangle ABC correspond to the sides DE, EF and FD of triangle DEF, then the two triangles are congruent if:AB = DE, BC = EF and CA = FD (SSS)AB = DE, BC = EF and angle ABC = angle DEF (SAS)AB = DE, angle ABC = angle DEF, angle BCA = angle EFD (ASA)If the triangles are right angled at A and D so that BC and EF are hypotenuses, then the triangles are congruent ifBC = EF and AB = DE (RHS)BC = EF and angle ABC = angle DEF (RHA).

Related Questions

what is the scale factor from ABC to DEF?

Answer: Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC.


If ABC def and the scale factor from ABC to def is what are the lengths of and respectively?

4,8,12


What is the scale factor of abc def?

6 apex


What is the scale factor of ABC and DEF?

the answer would be 10 0n apex


If ABC DEF and the scale factor from ABC to DEF is 17 what are the lengths of DE EF and DF respectively?

They are 17 times AB, BC and Ca, respectively.


What is the scale factor of triangle ABC 81216 and triangle DEF 101520?

If you mean: 8 12 16 and 10 15 20 then it is 4 to 5


Calculate the scale factor of ABC to DEF Enter answer as a whole number or as a fraction in lowest terms using the slash mark for the fraction bar?

1/1


Is plane ABC and plane DEF on the same plane?

It depends on where and what ABC and DEF are!


Given that abc def what is the scale factor of abc to def enter answer as a whole number or as a fraction in lowest terms using the slash mark for the fraction bar?

That's a wonderful question, and an important one. But there's no chance of answering it without knowing the actual lengths of some of those lines as they're shown in the picture, next to where you copied the question from.


If ABC DEF DEF MNO and MNO PQR then ABC PQR by the transitive property.?

false


What are the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using a scaling factor of 3?

Find the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using the given scale factor then graph triangle ABC and its dilation A (1,1) B(1,3) C(3,1) scale factor 3


If ABC def def mno and mno pqr then ABC pqr by the transitive property?

false