Logic and Reasoning — Unit test Answers

In the diagram, TRV ≅ VRW. What is the measure of SRT? mSRT = degrees

Which is logically equivalent to the converse of a conditional statement?

A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints.

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Which statement can be concluded using the true statements?If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square.If a figure is a square, then each of its angles must measure 90 degrees.

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

In the diagram, mFLI is 106°, mFLG = (2x – 1)°,mGLH = (x + 17)°, and mHLI = (4x – 15)°.

Inductive and deductive reasoning differ in which way?

Which part of the proof does the fourth statement and reason represent?Given: AB ≅ BCBC ≅ EF Prove: EG = AB + FG

What is the converse of the statement?Perpendicular lines have negative reciprocal slopes.

What value is a counterexample for the conditional statement shown?If a number between 0 and 100 is an odd perfect square, then the only factors of the number are 1, the number itself, and the square root of the number.

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

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Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.

A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.