Which rule explains why these triangles are similar?

Mathematics

1 answer:

julsineya [31]2 years ago

3 0

Answer:

refer to the picture for step by step answer

hope it helps

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A solid wooden cube has 4.35cm long.calculate the volume of the cube

Pani-rosa [81]

Answer:

82.31

Step-by-step explanation:

I believe this is correct, if it isn't feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.

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3 years ago

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Viefleur [7K]

Answer:

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Step-by-step explanation:

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3 years ago

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Complete the two-column proof by providing a reason for each of the five statements. Given: Rectangle R U T S Prove: ∠ U S R = ∠

Fantom [35]

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.