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Alex_Xolod [135]
3 years ago
11

50 POINTS! Which statement best explains whether △ABC is congruent to △DEF?

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
7 0
Option B makes the most sense, because if you follow the steps, they fit perfectly into each other!
nikitadnepr [17]3 years ago
4 0

Answer:

The second choice is correct.

Step-by-step explanation:

Reflecting ABC across the y-axis will negate the x-coordinates, which will place it directly above triangle DEF.  Counting down from A to D, B to E and C to F, we see that each is 5 units above the image; this means a translation 5 units down will finish mapping the pre-image to the image.  Since they are mapped on top of each other, they are congruent.

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A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7). What are the vertices of r(90, O)(WXYZ)?
VashaNatasha [74]

Given:

A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1,−7).

Rule of rotation is r_{(90^\circ, O)}(WXYZ).

To find:

The vertices after rotation.

Solution:

We know that, r_{(90^\circ, O)}(WXYZ) means 90 degrees counterclockwise rotation around the origin.

So, the rule of rotation is defined as

(x,y)\to (-y,x)

Using this rule, we get

W(3,-5)\to W'(5,3)

X(1,-3)\to X'(3,1)

Y(-1,-5)\to Y'(5,-1)

Z(1,-7)\to Z'(7,1)

Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).

8 0
3 years ago
Consider this right triangle with given measures.
OlgaM077 [116]

Answer:

\sqrt{39}

Step-by-step explanation:

I think the answer choices were supposed to be:

\sqrt{3} , \sqrt{6} , \sqrt{39} , \sqrt{89}

Pythagorean Theorem: a²+b²=c²

5²+b²=8²

25+b²=64

<em>Subtract 25 from both sides</em>

b²=39

<em>Square root both sides</em>

b=\sqrt{39}

Our answer is \sqrt{39}

8 0
3 years ago
Read 2 more answers
Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin. What are the coordinates of the image of
RUDIKE [14]
C prime would just be (4, 2) cause you are dilating it at 0,0 and with a scale factor of 2.
2(2, 1) is (4, 2)
This is double the distance from 0, 0 which makes sense
6 0
3 years ago
R4 = 74 what does R equal??????????????\
maksim [4K]

Answer:

R = 18.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
4 red bricks have a mean weight of 5kg
Elina [12.6K]

Answer: Donna is wrong. Mean weight is 7.1kg

Step-by-step explanation:

Calculate the mean for the bricks:

4 bricks have a mean weight of 5kg = 4 * 5

5 bricks have a mean weight of 9kg = 5 * 9

1 green brick is 6kg

= (4 * 5 ) + ( 5 * 9) + 6

= 71kg

Mean = 71 / (4 + 5 + 1)

= 7.1 kg

3 0
2 years ago
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