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:
145 yards squared
Step-by-step explanation:
So the area of the base is area of a square with side length of 5 yards 
The area of one triangular face base times height divided by two and then simply multiplied by 4 because there are 4 triangular faces.
So the total surface area is 
yards squared
Answer:
Consecutive whole numbers (or integers) are numbers that directly follow one another.
Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.
Step-by-step explanation:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.
or
let the three consecutive whole numbers is x, x+1,and x+2
x + x+1 + x+2 = 4+2(x+1)
3x+3=4+2x+2
3x-2x=6-3
x=3
the other two numbers are 3+1=4,and 3+2=5
so the three numbers are 3,4 and 5
Answer: 42.0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the expression 
.
we have to find the simplest form of the expression.
=
=
=
which is the simplest form of the given expression.
