All categories

3 years ago

What else would need to be congruent to show that ABC = DEF by SAS?

Mathematics

2 answers:

Vlad1618 [11]3 years ago

8 0

Answer:

A. $\overline{AC}\cong \overline{DF}$ .

Step-by-step explanation:

We have been given image of two triangles ABC and DEF. We are asked to find the information that will show that both triangles are congruent by SAS.

We know that two triangles are congruent by Side-Angle-Side congruence, if two sides and included angle of a triangle is equal to two sides and included angle of the other triangle.

We can see that angle A is included angle of side AB and AC, while angle D is included angle of side DE and DF.

We have been given that angle A is congruent to angle D and side AB is congruent to side DE.

To be both triangles congruent by SAS congruence, side AC must be congruent to side DF, therefore, option A is the correct choice.

Alona [7]3 years ago

3 0

The answer us A.

Line AC needs to be congruent to DF because for SAS (side angle side) we have a side (BA and DE) and an angle (A and D) so we need another side.

You might be interested in

Consider the radical equation (3√6-x)+4=-8. Explain why the calculation in Problem 1 does not produce a solution to the equation

murzikaleks [220]

Answer:

See explanation below

Step-by-step explanation:

<u>First we will solve the radical equation</u> (which I guess was problem 1),

Let's start by simplifying it:

$3\sqrt{6-x}+4=-8\\ 3\sqrt{6-x}=-8-4\\ 3\sqrt{6-x}=-12\\\sqrt{6-x}=-4$

Now we will solve the equation by squaring both sides of the equation:

$\sqrt{6-x} =-4\\6-x=-4^{2} \\6-x=16\\-x=16-6\\-x=10\\x=-10$

So the calculation for x was that x = -10

However, this does not produce a solution to the equation: When we plug this value into the radical equation we get:

$3\sqrt{6-x} +4= -8\\3\sqrt{6-(-10)} +4=-8\\3\sqrt{16}+4 = -8\\ 3(4)+4 = -8\\12 + 4 = -8$

This happens because <u>when we first squared both sides of the equation in the first part of the problem we missed one value for x </u>(remember that all roots have 2 answers, a positive one and a negative one) while squares are always positive.

When we squared the root, we missed one value for x and that is why the calculation does not produce a solution to the equation.

6 0

3 years ago

What is the value of k in the linear pair below?

beks73 [17]

B. I do know if it’s a triangle but 180 degrees is what you need to get to so 104+76=180

6 0

3 years ago

A supermarket sells corn flakes for $3.60 per box. If the markup on the cereal is 30%, how much did the supermarket pay for each

Alexxx [7]

Answer: 70

Step-by-step explanation:

4 0

3 years ago

Which is the following statements is NOT true?

Dominik [7]

Answer:

The last one is the answer; The slope of AB is different than the slope of BC.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Graph a line with a slope of 3/4 that contains the point (2,-3).

arsen [322]

Answer:

Step-by-step explanation:

First, plot the point (2, -3) on the graph. Then, use the slope to pick another point. The slope is rise over run. For your slope, the line will go 3 places up and then 4 places to the right. Using a straight-edge, follow the points and you will get the graph of the line.

6 0

3 years ago