Answer:
The two column proof can be presented as follows;
Statement
Reason
1. RUST is a rectangle
Given
2. RU = ST ; UT = RS
Definition of a rectangle
3. ∠STU and ∠SRU are right angles
Definition of a rectangle
4. ΔURS ≅ ΔSTU
By SAS rule of congruency
5. ∠USR = ∠SUT
By CPCTC
Step-by-step explanation:
Given that the side RU, the angle ∠SRU and the side RS of triangle ΔURS are congruent to the side ST the angle ∠STU and the side UT of triangle ΔSTU, then ΔURS is congruent to ΔSTU, by the Side-Angle-Side (SAS) rule of congruency
Therefore, we have that ∠USR ≅ ∠SUT and therefore, it can be shown that ∠USR = ∠SUT using the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.
Answer: (xy^2 + y)(xy^2 - y)
Step-by-step explanation:
The answer is 26 i had the question before and i got it correct
Answer:
1.41a
Step-by-step explanation:
Let ABC is a right triangle with equal legs AB =BC.
Hence, ∠B is 90° and CA is the hypotenuse.
Now, applying Pythagoras Theorem, we can write
CA² = AB² + BC²
Let us assume that each legs AB = BC = a.
Therefore, CA² = a² +a² = 2a²
⇒Hypotenuse or CA = a√2 = 1.41a { Round to the nearest tenth} (Answer)
Answer:
C
Step-by-step explanation:
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