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JulijaS [17]
3 years ago
14

Which of these transformations are isometries?

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0
<span><u><em>Answer:</em></u>
I, II and III.
<span>
<u><em>Explanation:</em></u>
<u>An isometry is</u> a transformation that preserves the size of the pre-image in the image and the corresponding angles and sides are also congruent.

<u>In each one of the images</u>, the figure given is he same size as the pre-image and The corresponding angles and corresponding sides are congruent; therefore they are all isometries. </span></span>
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Can someone solve this question?
Rom4ik [11]

The triangles are isosceles. The following notation are for the angles. For example ABD is refer to the angle located in the B vertex, formed by the segments AB and BD.

ABD = ADB\\40 + 2ADB = 180\\ADB = 70 = ABD\\

70 +  DBC + 30 = 180\\DBC = 180 - 100 = 80

Then

BCD = BCD\\2BCD + 80 = 180\\BCD = 50



3 0
3 years ago
In a cookie mix, we find ginger cookie, molasses cookies, and pinwheel cookie in a ratio of 1:2:7. If a bag of the mix contains
liraira [26]

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

5 0
3 years ago
Whats (8,2) and (9,3) in finding the slope from points
igor_vitrenko [27]
A (8, 2)
B (9, 3)
m =  \frac{yb - ya}{xb - xa}
m =  \frac{3 - 2}{9 - 8}
m =  \frac{1}{1}
m = 1
4 0
3 years ago
Circle D circumscribes ABC and ABE. Which statements about the triangles are true? Statement I: The perpendicular bisectors of A
mestny [16]

Answer:

The correct option is;

B. I and II

Step-by-step explanation:

Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE

The above statement is correct because given that ΔABC and ΔABE are inscribed in the circle with center D, their sides are equivalent or similar to tangent lines shifted closer to the circle center such that the perpendicular bisectors of the sides of ΔABC and ΔABE are on the same path as a line joining tangents to the center pf the circle

Which the indicates that the perpendicular the bisectors of the sides of ΔABC and ΔABE will pass through the same point which is the circle center D

Statement II: The distance from C to D is the same as the distance from D to E

The above statement is correct because, D is the center of the circumscribing circle and D and E are points on the circumference such that distance C to D and D to E are both equal to the radial length

Therefore;

The distance from C to D = The distance from D to E = The length of the radius of the circle with center D

Statement III: Bisects CDE

The above statement may be requiring more information

Statement IV The angle bisectors of ABC intersect at the same point as those of ABE

The above statement is incorrect because, the point of intersection of the angle bisectors of ΔABC and ΔABE are the respective in-centers found within the perimeter of ΔABC and ΔABE respectively and are therefore different points.

6 0
3 years ago
Read 2 more answers
Hello everyone I have waited for a Long time for my questions to be answered and I don't think anyone can see them so can you gu
Mars2501 [29]
I see this one buddy it might be because you have a low rank once your rank is high your questions will not be deleted
7 0
2 years ago
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