5) Consider the following statements: I: If two triangles are congruent, then they have equal def...
2) (i) State the converse of the Alternate Interior Angle Theorem in Neutral Geometry. (ii) Prove that if the converse of the Alternate Interior Angle Theorem is true, then all triangles have zero defect. [Hint: For an arbitrary triangle, ABC, draw a line through C parallel to side AB. Justify why you can do this.] 5) Consider the following statements: I: If two triangles are congruent, then they have equal defect. II: If two triangles are similar, then they have...
4. a) Draw an example of two non congruent triangles that satisfy the following conditions. If not possible, explain why. (1) The two triangles have congruent corresponding angles. (ul) The two triangles have congruent corresponding angles, and one pair of sides (not corresponding sides) congruent. () The two triangles have congruent corresponding angles, and two pairs of sides (not corresponding sides) congruent. b) (i) is the statement "If A ABC A DEF, then 2CAB ELFED", true or false? Clearly explain...
An infinite number of non-congruent triangles can be formed with two angles, A and B. Which of the following is true about the triangles formed? A. None of the triangles are similar. B. Some of the triangles are similar. C. All of the triangles are similar. D. No conclusion can be drawn without knowing the measurements of the angles.
Part III (3 pts) For cach of the property statement below, determine which geometry would BEST xhoi given property (choose only one!). Please use A. for Euclidean geometry, B. for hypere geometry, gcometry and D. for Neutral geometry for your identifications Example. A There is a triangle in which the sum of the measures of the interior angles is 180. a. The opposite sides of a parallelogram are congruent. b. Similar triangles may not be congruent. Lines perpendicular to the...
Must have these be completenes Aeroy-free 3 unbiased Which of the following statements is correct with respect to faithful representation ? i. Faithful representation is one of the enhancing qualitative characteristics as per the Sonceptual framework published by IASB. For faithful representation, information must be complete, neutral and free from errors. Changing accounting policies is an example of failing to provide faithful representation of financial information. iv. Substance over form is implied in faithful representation a. (i) and (ii) b....
Example 6 Consider the complex ion ICo(NHl2. Which response contains all of the following statements that are true, and no false statements. I- it is paramagnetic II- it is high spin complex III- it is a low spin complex IV- it has octahedral geometry V- it does not exist as geometric isomers a- I and II c- II, IV and V e- I, IV and V b- III and IV d- III, IV and V Example 6 Consider the complex...
Read through each of the following 3 statements. Statement I: Even though a country may have no absolute advantage in any goods, it may have a comparative advantage in some good. Statement II: If a country has a comparative advantage in some goods, it must have a comparative disadvantage in other goods. Statement III: Even though a country may have an absolute advantage in all goods, it cannot have a comparative advantage in all goods. Which of the following statements...
Consider the following statements regarding sampling. Which of the following are true statements? I. Attribute sampling is appropriate when estimating the “true” monetary value of an account balance. II. A haphazardly selected sample may be used with attribute sampling techniques. III. Judgmental sampling typically yields larger sample sizes than statistical sampling. IV. Statistical sampling allows the auditor to quantify and control for sampling risk. I, IV II, III I, III, IV IV
Consider the following four statements concerning hypothesis tests. I. We can decrease the probability of a Type II error by increasing the sample size. II. We can decrease the probability of a Type II error by decreasing the sample size. III. We can decrease the probability of a Type I error by increasing the level of significance . IV. We can decrease the probability of a Type I error by decreasing the level of significance . Which statements above are...
Which of the following statements is (are) TRUE? I) Risk-aversion investors accept investments that are fair games II) Risk-neutral investors judge investments only by expected returns – risk is not relevant III) Risk-averse and risk loving investors consider both an investment’s risk and return IV) Highly risk-averse investors would still allocate a small portion of their savings to stocks Choose from the options below: a) II only b) I only c) II,III and IV only d) I and II only...