Geometry Proofs: Introduction, Assignments, and Quiz Questions, Exams of Nursing

An introduction to geometry proofs, including assignments and quiz questions with verified answers. It covers topics such as congruent segments, angle bisectors, and different types of proofs like two-column, paragraph, and flowchart proofs. The document also includes examples and explanations of properties like reflexive, transitive, and symmetric properties, making it a useful resource for students learning geometry.

Typology: Exams

2024/2025

Available from 09/01/2025

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Introduction to Proof Assignment and
Quiz Questions with Verified Answers
Which statement is true about the diagram? - ANSWERSBEA BEC
Segment AB is congruent to segment AB.
This statement shows the _____ property - ANSWERSreflexive
Given that RT WX, which statement must be true? - ANSWERSRT + TW = WX + TW
A two-column proof - ANSWERScontains a table with a logical series of statements and
reasons that reach a conclusion.
Given that D is the midpoint of AB and K is the midpoint of BC, which statement must
be true? - ANSWERSAK + BK = AC
What is the missing justification? - ANSWERStransitive property
Given that CEA is a right angle and EB bisects CEA, which statement must be true?
- ANSWERSmCEB = 45°
Given that ABC DBE, which statement must be true? - ANSWERSABD CBE
Which statement is true about the diagram? - ANSWERSK is the midpoint of AB.
Given that BA bisects DBC, which statement must be true? - ANSWERSmABD =
mABC
Name the three different types of proofs you saw in this lesson. Give a description of
each. - ANSWERSOne 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.
Which property is shown?
If mABC = mCBD, then mCBD = mABC - ANSWERSsymmetric property
EB bisects AEC.
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Introduction to Proof Assignment and

Quiz Questions with Verified Answers

Which statement is true about the diagram? - ANSWERS∠BEA ≅ ∠BEC Segment AB is congruent to segment AB. This statement shows the _____ property - ANSWERSreflexive Given that RT ≅ WX, which statement must be true? - ANSWERSRT + TW = WX + TW A two-column proof - ANSWERScontains a table with a logical series of statements and reasons that reach a conclusion. Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true? - ANSWERSAK + BK = AC What is the missing justification? - ANSWERStransitive property Given that ∠CEA is a right angle and EB bisects ∠CEA, which statement must be true?

  • ANSWERSm∠CEB = 45° Given that ∠ABC ≅ ∠DBE, which statement must be true? - ANSWERS∠ABD ≅ ∠CBE Which statement is true about the diagram? - ANSWERSK is the midpoint of AB. Given that BA bisects ∠DBC, which statement must be true? - ANSWERSm∠ABD = m∠ABC Name the three different types of proofs you saw in this lesson. Give a description of each. - ANSWERSOne 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. Which property is shown? If m∠ABC = m∠CBD, then m∠CBD = m∠ABC - ANSWERSsymmetric property EB bisects ∠AEC.

What statements are true regarding the given statement and diagram? - ANSWERS∠CED is a right angle. ∠CEA is a right angle. m∠CEB = m∠BEA m∠DEB = 135° Given: m∠ABC = m∠CBD Prove: BC bisects ∠ABD. Justify each step in the flowchart proof. - ANSWERSA: given B: definition of congruent C: definition of bisect Describe the main parts of a proof. - ANSWERSProofs 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. Given: EB bisects ∠AEC. ∠AED is a straight angle. Prove: m∠AEB = 45° Complete the paragraph proof. We are given that EB 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°. - ANSWERS AEC angle addition postulate Given: ∠ABC is a right angle and ∠DEF is a right angle. Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.