Statement A: If two lines intersect to form a right angle, then they are perpendicular. Statement B: If two lines are not perpendicular, then they do not form a right angle. How is statement B related to statement A? A) Conditional C) Inverse B) Converse D) Contrapositive

Statement A: If two lines intersect to form a right angle, then they are perpendicular. Statement B: If two lines are not perpendicular, then they do not form a right angle. How is statement B related to statement A? A) Conditional C) Inverse B) Converse D) Contrapositive

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

Statement A: If two lines intersect to form a right angle, then they are
perpendicular.
Statement B: If two lines are not perpendicular, then they do not form a
right angle.
How is statement B related to statement A?
A) Conditional
C) Inverse
B) Converse
D) Contrapositive

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Directions: For the given statement, determine the inverse, converse and contrapositive. If a triangle is isosceles, then it has two congruent angles. 1. Converse: Inverse: Contrapositive: 2. If you are a reader, then you are a learner. Converse: Inverse: Contrapositive: 3. If Nemo is a fish, then he swims. Converse: Inverse: Contrapositive: 4. If you don't work, then you don't have a salary. Converse: Inverse: Contrapositive: If you play the piano, then you are a musician. 5. Converse: Inverse: Contrapositive:
Complete the two column proof using the figure below. STATEMENTS 1. L1 || L2 2. angle a and angle c complementary, angle a and angle c supplementary, or angle g and angle f supplementary. 3. m∠a+m∠c=180, m∠b+m∠c=180, or m∠a+m∠c=90. 4. ∠c ≅ ∠g 5. m∠d=m∠c, m∠c=m∠g, or m∠a=m∠g. 6. m∠a+m∠g=180∘ REASONS 1. Prove, substitution property, or Given. 2. Linear Pair Postulate. 3. Definition of Supplementary. 4. vertical angles are congruent, same side interior angles are supplementary, or corresponding angles are congruent. 5. Definition of Congruency 6. reflexive property, symmetric property, substitution property.
is this statement true
When are the converses to the line and angle theorems in the lesson used? O to prove angles are congruent O to prove lines parallel O to prove lines perpendicular O to prove angles are right angles
If n represents any integer, then an expression representing all angles coterminal with 120° is 120° + If n represents any integer, then an expression representing all angles coterminal with 120° is 120° + (Type an equation using n as the variable.)