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Geo. Unit 4 More Practice Name:__________________________________ 1) In this addition problem, each letter represents a single digit. 1 7 2 2 9 4 + 7 V 6 P 2 P 2 P=? 1 2 3 4 none of the above 2) V = ? 1 2 3 4 none of the above 3) Edith, Ernie, and Eva are an economist, an electrician, and an engineer, but not necessarily in that order. The economist does consulting work for Eva's business. Ernie hired the electrician to rewire his new kitchen. Edith earns less than the engineer but more than Ernie. Match the names with the occupations. 4) What is the correct algebraic expression represented by the diagram? A: (3𝑥)(2𝑥) = 6𝑥 2 B: h3𝑥 2 + 2𝑥 2 = 5𝑥 2 C: (𝑥 + 3)(𝑥 + 2) = 𝑥 2 + 5𝑥 + 6 D: none of the above 5) Deductive reasoning is the type of reasoning used when people make conjectures. True False 6) Match the correct reasons to the statements of this algebraic proof. Statements 1. 4x − 7 = 2x 2. 2x – 3. 2x 4. x 7=3 = 10 =5 Reasons + 3 1. Given equation 2. 3. 4. STATEMENT BOX Subtraction Property Addition Property Reflexive Property Division Property Substitution Multiplication Property 7) Arrange the statements and reasons in this geometric proof. STATEMENT BOX KP + PR = ST + TV ST + TV = SV Given Segment Addition KR = SV KP = ST 8) If two angles form a linear pair, what can you conclude about the angles? The two angles are congruent. The two angles are supplementary. The two angles are vertical angles. The two angles are right angles. 9) Choose the correct word to fill in the blanks appropriately. A ______________________ is a statement that is accepted as true without proof. A ______________________ is a statement that is proven to be true for all cases. STATEMENT BOX theorem argument proof postulate 10) Which of the following can be used as reasons in a proof? Select all that apply. definitions theorems algebraic properties conjectures postulates 11) Earlier in this topic, you proved the Common Segment Theorem. Do you think you could prove a Common Angle Theorem? Using the diagram, what do you think that theorem would state? Select all that apply. If K and M are in the interior of ∠HIJ, then m∠HIK+m∠KIM+m∠JIM=m∠HIJ. If ∠HIK≅∠JIM, then ∠HIM≅∠JIK. If ∠HIM≅∠JIK, then ∠HIK≅∠JIM. If ∠HIK≅∠JIM, then ∠KIM≅∠MIK. 12) Two intersecting lines are shown in the diagram. Solve for x. x = 10 x ≈ 7.89 x = −10 x ≈ 1.83