131-unknown-07sp02

# 131-unknown-07sp02 - Date: 03/28/2007 Page 1/4 BAATH 131...

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Unformatted text preview: Date: 03/28/2007 Page 1/4 BAATH 131 LECTURE MIDTERM 2 NAME: For each problem make your steps clear and 1 box\ your ﬁnal answer. I Date: 03/28/2007 ' Page 2/4 1. State the Parallel Cuts Theorem, then state its converse. Include a diagram. ' Note: If you cannot remember the theorem, give an example of the converse of a statement for partial credit. 2. Prove the area formula for an obtuse triangle. Page 3/4 Date: 03/28/2007 3. A right triangle has one leg of length a. The hypotenuse of the triangle is twice as long as the other leg. Find the length of the hypotenuse in terms of a. . 4. In the ﬁgure below, ABCD is a. parallelogram, AAED is a right triangle, BC = ac, AB is twice as long as BC, and [DAB = 45°. Find the area of ABCE. ‘ I? s Date: 03/28/2007 Page 4/4 5. Prove: Opposite sides in a parallelogram are equal. (Begin with only the deﬁnition of a V parallelogram as your given information.) 6. True or False. For each problem, say whether the statement is true or false. In either case, give justiﬁcation of your answer. Credit will not be given without justiﬁcation. (a) If two similar polygons havevsides that scale with the ratio 1:2, then their areas also scale with the ratio 1:2. (b) A right triangle with irrational sides can be similar to a primitive Pythagorean triple. ...
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## This note was uploaded on 08/08/2008 for the course MATH 131 taught by Professor Allprofs during the Fall '07 term at Wisconsin.

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131-unknown-07sp02 - Date: 03/28/2007 Page 1/4 BAATH 131...

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