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:
a. 125
b. 25/64
c. 0.25
d. 343
e. 49/4
f. 0.81
Step-by-step explanation:
multiply by the same number by the amount of times the power tells you
b. 5*5 = 25 8*8= 64
c. 5*5 = 25 0.5*0.5 = 0.25
d. 7*7*7 = 343
e. 7*7 = 49 2*2= 4
f. 9*9 = 81 0.9*0.9= 0.81
Since the properties of a rhombus tells us that both pairs of opposite sides are congruent we can therefore conclude that DB will be 12
if you wanna solve for m you have get m by him self.
m-n = 5
m-n+n = 5+n
m = 5+ n
there is your answer. hope it is heplful
