The triangle △ABC and △DEC are similar to each other. Then the correct option is A, B, and D.
<h3>What is a transformation of a point?</h3>
A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
Right triangle ABC is reflected over AC.
Then dilated by a scale factor of Two-thirds to form triangle DEC.
The triangle △ABC and △DEC are similar to each other.
△ABC ≅ △DEC
The dilation is 2/3. Then we have
DE / AB = 2 / 3
3AB = 2DE
∠B ≅ ∠E = 90
There is no effect of dilation on angle.
Then the correct option is A, B, and D.
More about the transformation of a point link is given below.
brainly.com/question/27224339
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Answer:
14 kilometers
Step-by-step explanation:
This is really about calculating perimeter.
So we need the lengths of all the sides of this right triangle.
Notice all the legs are 4 units or 4 kilometers
the hypotenuse is 4*root(2) because this is a 45-45-90 triangle.
so
Perimeter = 4 + 4 + 4
let us add: P = 4 + 4 + 4root(2) = 13.656854 km.
the nearest kilometer is 14 km.
Answer:
Check your question
Step-by-step explanation:
Probably wrong
Let's solve your equation step-by-step.<span><span><span>16</span><span>(<span>a−4</span>)</span></span>=<span><span>13</span><span>(<span><span>2a</span>+4</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>16</span><span>(<span>a−4</span>)</span></span>=<span><span>13</span><span>(<span><span>2a</span>+4</span>)</span></span></span><span><span><span><span>(<span>16</span>)</span><span>(a)</span></span>+<span><span>(<span>16</span>)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span>(<span>13</span>)</span><span>(<span>2a</span>)</span></span>+<span><span>(<span>13</span>)</span><span>(4)</span></span></span></span>(Distribute)<span><span><span><span>16</span>a</span>+<span><span>−2</span>3</span></span>=<span><span><span>23</span>a</span>+<span>43</span></span></span>Step 2: Subtract 2/3a from both sides.<span><span><span><span><span>16</span>a</span>+<span><span>−2</span>3</span></span>−<span><span>23</span>a</span></span>=<span><span><span><span>23</span>a</span>+<span>43</span></span>−<span><span>23</span>a</span></span></span><span><span><span><span><span>−1</span>2</span>a</span>+<span><span>−2</span>3</span></span>=<span>43</span></span>Step 3: Add 2/3 to both sides.<span><span><span><span><span><span>−1</span>2</span>a</span>+<span><span>−2</span>3</span></span>+<span>23</span></span>=<span><span>43</span>+<span>23</span></span></span><span><span><span><span>−1</span>2</span>a</span>=2</span>Step 4: Multiply both sides by 2/(-1).<span><span><span>(<span>2<span>−1</span></span>)</span>*<span>(<span><span><span>−1</span>2</span>a</span>)</span></span>=<span><span>(<span>2<span>−1</span></span>)</span>*<span>(2)</span></span></span><span>a=<span>−4</span></span>
X(midpoint)<span> = (x1+x2) / 2 = (-1 - 6)/2 = -7/2 = -3.5
y(midpoint) = (y1+y2) / 2 = (5 - 2)/2 = 3/2 = 1.5
Answer
midpoint of the segment = (-3.5 , 1.5)</span>
