* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Constructions - cloudfront.net
Survey
Document related concepts
Transcript
Name ________________________________________ Date __________________ Class __________________ MODULE 1 Constructions Module Quiz: B Use the figure below to answer 1–2. Use the figure to answer 4–5. Line l is the perpendicular bisector of AB. 4. What is the length of AC? 1. Given ∠7 ≅ ∠3, name the postulate or theorem you could use to prove that lines r and s are parallel. A 1.5 cm C 6 cm B 3 cm D 9 cm 5. Which statement MUST be true? A AD = BC B AD = BD ________________________________________ C BD = AC 2. Given that ∠4 and ∠5 are supplementary, name the postulate or theorem you could use to prove that lines r and s are parallel. D CD = AD 6. Name two different ways to construct congruent angles. Method 1 ________________________________________ ________________________________________ 3. Look at the figure below. ________________________________________ Method 2 ________________________________________ ________________________________________ Which statement must be true in order to prove that lines b and c are parallel? A m∠1 = m∠3 B m∠1 + m∠2 = 180° C m∠2 = m∠8 D m∠2 + m∠3 = 180° Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 15 Name ________________________________________ Date __________________ Class __________________ MODULE 1 Constructions Module Quiz: B Use the figure for 10–11. 7. The diagram shows a congruent angle construction that uses one of the rays of the original angle. Assume the pattern continues. It takes 15 copies of the angle for the last angle to overlap the first horizontal ray. What is the measure of each angle? Explain. 10. If the side lengths of quadrilateral KLMN are known, what theorem can you use to prove the figure is a parallelogram? ________________________________________ 11. For what value of x and y is KLMN a parallelogram? ________________________________________ ________________________________________ ________________________________________ 12. JKLM is a parallelogram. State whether each additional single condition will make JKLM a rhombus. Explain your reasoning. ________________________________________ ABCD is a parallelogram. A Opposite sides are congruent. Yes No ____________________________________ B Diagonals bisect each other. 8. Determine whether each statement is true or false. A AE ≅ BE True False B AB ≅ CD True False C AD BC True False D AE ≅ EC True False Yes No ____________________________________ C Diagonals are perpendicular. Yes No ____________________________________ 9. Compare the diagonals of a rhombus and rectangle, where neither is a square. How are they the same? How are they different? D Opposite angles are congruent. Yes No ____________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 16