Name the three different types of proofs you saw in this lesson. Give a description of each.
One type of proof is a twocolumn proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof.
Sample Response: One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof. What did you include in your response? Check all that apply.Two-column proofs are in columns and list statements and reasons.Paragraph proofs use words.Flowchart proofs give a visual representation of the progression of
additionangle addition postulate definition of right anglesubstitution property
angle ABC = 90 angle ABD = 90 2 times the measure of angle ABC = 90 2 times the measure of angle CBD = 90
definition of congruent definition of bisect given reflexive property
definition of congruent definition of bisect given reflexive property
definition of congruent definition of bisect given reflexive property
Complete the paragraph proof. We are given that bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the. A bisector cuts the angle measure in half. m∠AEB is 45°.
AEB AEC BEC BED
angle addition postulate reflexive property segment addition property symmetric property
definition of right angledefinition of congruentdefinition of equaldefinition of 90 degrees
identity propertyreflexive property substitution propertysymmetric property
definition of congruent angles definition of equal angles substitution property symmetric property
Identify the missing parts in the proof.
✔ measure of angle ABC = 90measure of angle ABC = 180measure of angle ABD = 90 measure of angle CBD = 180
addition✔ angle addition postulate definition of right anglesubstitution property
angle ABC = 90 angle ABD = 90 2 times the measure of angle ABC = 90 ✔ 2 times the measure of angle CBD = 90
Which property is shown?If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
What statements are true regarding the given statement and diagram?
Which property is shown?If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
Did you find these answers helpful?