Which property is shown?If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
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
definition of congruent definition of bisect given reflexive property
angle ABC = 90 angle ABD = 90 2 times the measure of angle ABC = 90 2 times the measure of angle CBD = 90
What statements are true regarding the given statement and diagram?
definition of congruent definition of bisect given reflexive property
definition of right angledefinition of congruentdefinition of equaldefinition of 90 degrees
division definition of bisects definition of right angle given
Identify the missing parts in the proof.
definition of congruent definition of bisect given reflexive property
Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion. What did you include in your response? Check all that apply.given informationstatement to be provenargument with justification using theorems, definitions, and axiomsconclusion
identity propertyreflexive property substitution propertysymmetric property
measure of angle ABC = 90measure of angle ABC = 180measure of angle ABD = 90 measure of angle CBD = 180
Sample Response: We are given that the sum of the measures of angles A and B is equal to the sum of the measures of angles B and C. The measure of angle B is equal to itself by the reflexive property, so you can subtract that measure from both sides of the equation. Now the measure of angle A equals the measure of angle C. By the symmetric property, this means the measure of angle C equals the measure of angle A. What did you include in your response? Check all that apply.reflexive propertysubtr
definition of congruent angles definition of equal angles substitution property symmetric property
additionangle addition postulate definition of right anglesubstitution property
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