Carolyn Wheater - McGraw-Hill Education Geometry Review and Workbook

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T his pretest is an opportunity to remind yourself of bits of geometry that you already know, to identify areas of the curriculum that may be totally new to you, and generally help you to start thinking about geometry in new ways. Answer all the questions, and try to express your thinking as clearly as you can, even if youre not completely certain of the answer.

. What is the adjective applied to lines, rays, or segments that meet to form a right angle?

. Use a compass and a straightedge to construct the bisector of ABC.

. Explain the basis of the construction of a line parallel to a given line through a given point.

. Construct a square inscribed in the given circle.

. If it is true that John plays football, but not true that Elizabeth is a nurse, is it true that John plays football and Elizabeth is a nurse? Explain.

. Write the converse of If you study daily, then you will score well on tests.

. Don argues that crackers are better than nothing and nothing is better than ice cream, so crackers are better than ice cream. Is his argument valid? Why?

.A is supplementary to B and B is supplementary to C. Prove that AC.

. Draw the image of parallelogram ABCD under a translation 2 units right and 3 units down.

. Jessica says that a reflection across a line is equivalent to a rotation of 180 around a point on that line. Explain whether or not you agree and give an example to support your position.

. Quadrilateral ABCD is a rectangle. Quadrilateral ABCD is the image of ABCD under a composition of two transformations. Identify what the two transformations might be, and give specific details.

. What information not already indicated on the diagram would you need in order to prove these two triangles congruent by SAS? Write the congruence statement.

. Triangles can be proven congruent by SAS but not by SSA. Explain why it is possible to prove triangles congruent by ASA or AAS.

. Use transformations to explain how to identify corresponding parts of congruent triangles.

. To prove ABFEDG, another pair of triangles must be proven congruent first. Which triangles must be proven congruent first and what corresponding parts will help prove ABFEDG?

. What is a scalene triangle?

. What is the name given to a segment that connects a vertex of a triangle with the midpoint of the opposite side?

. Jason says the angles in XYZ measure 42, 84, and 107. Explain how you know Jasons statement is incorrect.

.ABC is isosceles with