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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
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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?
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.