The reflection transformation in the question is a rigid transformation,
therefore, the image and the preimage are congruent.
The statements that are true are;
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
Answer:
x = 14 and y = 6
Step-by-step explanation:
To find the solution to this problem, we plug in the values of x and y from each answer choice and simplify.
1.
- (11) + (9) = 20. 20 = 20.
- (11) - (9) = 20. 2 ≠ 8.
2.
- (9) + (11) = 20. 20 = 20
- (9) - (11) = 20. -2 ≠ 8.
3.
- (14) + (6) = 20. 20 = 20.
- (14) - (6) = 8. 8 = 8.
4.
- (6) + (14) = 20. 20 = 20
- (6) - (14) = 8. -8 ≠ 8.
Therefore, the correct answer is x = 14 and y = 6.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
Largest amount of bags that can be filled: 11
Starbursts in each bag: 3
Step-by-step explanation:
Find the greastest common factor between these two (which is 8) and divide the sum of the jolly ranchers and starbursts-which will be 88-by the greatest common factor. This will leave you with 11 bags that can be filled with 8 candies. To find the starbursts, divide 24 by 8 (3.)
