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goldfiish [28.3K]
2 years ago
14

Determine if the two figures are congruent and explain your answer using transformations.

Mathematics
1 answer:
Maslowich2 years ago
7 0

The coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent

  • The given figures are quadrilaterals, in order to determine whether they are similar, we need to check if they are reflections of each other.

  • For the Quadrilateral ABCD, the coordinate of A is at A(-1, 1)  and for the Quadrilateral DEFG, the coordinate of E is at E(1, 1).

  • Note that if an object is reflected over the y-axis the transformation is (x, y)->(-x, y)

  • We need to check whether if we reflect the coordinate A over the y-axis we will get coordinate E

Since the coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent

Learn more on reflections here:brainly.com/question/1908648

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Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0
3 years ago
which statements are correct check all that apply A number line going from negative 1 to positive 1 in increments of 1. There ar
Natali5045456 [20]

Answer:

B,D,F

Step-by-step explanation:

ive answered harder haha

hope this helps

5 1
3 years ago
Hi! Can someone please help me with this math problem? Please show your work on how you got your answer. Thank you!
SVEN [57.7K]

Answer:

5=p

Step-by-step explanation:

18=3.50+2.75P

18-3.50=2.75p

14.5/2.75=2.75p/2.75


5=p

she can buy 5 popcorn

5 0
3 years ago
What is three and 2 fourths and minus two and three fourths
netineya [11]

Answer:

The answer is 0.75

Hope this helps!

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2 years ago
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