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3 years ago

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

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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