Carl is trying to determine the length of segment MN using the Pythagorean theorem.

On a coordinate plane, line M N has points (negative 3, 1) and (4, negative 4).

Step 1: Find the vertex of a possible right triangle. V(4, 1)

Step 2: Find the leg lengths of the right triangle. NV = 7, MV = 5

Step 3: Substitute the values into the Pythagorean theorem. 7 squared + 5 squared = c squared

Step 4: Solve for c. 7 squared + 5 squared = c squared. 49 + 25 = c squared. 74 = c squared. StartRoot 74 EndRoot = c.

Which best describes the accuracy of Carl’s solution?
Carl’s work and answer are both entirely correct.
Carl’s answer is correct, but he incorrectly labeled the leg lengths in step 2.
Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.
Carl’s work and answer are incorrect. He substituted and solved incorrectly.

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true