Answer:
Step-by-step explanation:
Given:
RUTS is a rectangle.
To prove:
∠USR ≅ ∠SUT
Statements Reasons
1. RUTS is a rectangle 1. Given
2. RU = ST, UT = RS 2. By the definition of a rectangle
3. ∠STU = ∠SRU = 90° 3. Definition of a rectangle
4. ΔURS ≅ ΔSTU 4. By the LL theorem of congruence
5. ∠USR ≅ ∠SUT 5. CPCTC
Answer:
True.
Step-by-step explanation:
It is because it is in the form
and this equals
.
Why it is in that form: well comparing
, we have
. Testing, plug in those values:


.
This has the squared form of
.
Test if you like:


Use foil to expand:
First: x(x)=x^2
Outer: x(1)=x
Inner: 1(x)=x
Last: 1(1)=1
---------------Add together

It does indeed equal.