University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2020
Views:

263

Pages:

4
Author:

Sean Horton

© Evaluate: Homework and Praipice . 1 ! • Online Homework Jodie draws parallel lines p and q. She sets up a figure as shown to prove that the lines must have the same slope. First she proves that AJKL ARST by the ASA Triangle = • Hints and Help • Extra Practice Congruence Theorem. What should she do to complete the proof ? Show that each figure is the given type of quadrilateral. 2. Show that ABCD is a trapezoid. Show that KLMN is a parallelogram. Module 10 501 Lesson 1 Find the coordinates of the missing vertex in each parallelogram. Use slopes to check your answer. 4* EJABCD with vertices A (3, and £> ( 5, l ) 3) , B [ 1, EJSTUV with vertices S(- 3, - l ) , r{- l , l ) and V(0, 0) Show that quadrilateral ABCD is not a trapezoid. Show that quadrilateral FGHJ is a trapezoid, but is not a parallelogram . Module 10 502 Lesson 1 Determine whether each statement is always, sometimes, or never true. Explain your reasoning. 8. If quadrilateral ABCD is a trapezoid and the slope of AB is 3, then the slope of CD is 3. A parallelogram has vertices at (0, 0), (2, 0), (0, 2) , and at a point on the line v = x. 10 If the slope of PQ is ~ and the slope of RS is parallelogram? ” the quadrilateral PQRS is a 11 . If line m is parallel to line n and the slope of line m is greater than 1, then the slope of line n is greater than 1. 12. If trapezoid JKLM has vertices /( 4, l ) , K ( 3, 3) , and l ( 1, 4), then the coordinates of vertex Mare ( 2, 4) . Lesson 1 : Explain whether the quadrilateral determined by the intersections of the given lines is a trapezoid, a parallelogram, both, or neither. Algebra Find the value of each variable in the parallelogram. Module 10 Lesson 1