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Unit 5 Test Review. Which of the following is true for all parallelograms?. A. Opposite angles are congruent. B. Diagonals are congruent. C. Consecutive angles are complementary. D. Diagonals are perpendicular. Which of the following is true for all trapezoids?.

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which of the following is true for all parallelograms
Which of the following is true for all parallelograms?
  • A. Opposite angles are congruent.
  • B. Diagonals are congruent.
  • C.Consecutive angles are complementary.
  • D. Diagonals are perpendicular.
which of the following is true for all trapezoids
Which of the following is true for all trapezoids?
  • A. Diagonals are congruent.
  • B. Diagonals are perpendicular.
  • C. Consecutive angles between parallel lines are complementary.
  • D. Consecutive angles between parallel lines are supplementary.
slide4

Determine which quadrilaterals always have perpendicular diagonals.

  • Squares
  • Rectangles
  • Rhombuses
  • Parallelograms
    • A. Only I.
    • B. Only I and II.
    • C. Only I and III.
    • D. I, II, III, and IV.
slide5

In any parallelogram ABCD, it is always true that the measures of ABC and CDA:

DRAW A PICTURE

  • add up to 180
  • are each 90
  • are always congruent
  • are each less than 90
slide6
Given the following information about quadrilateral ABCD; sketch, label, and name a type of quadrilateral that meets these conditions.

AC  BD

AB // CD

slide7
Given rhombus ABCD. Use coordinate geometry to demonstrate that the diagonals of ABCD are perpendicular.

A

B

D

C

slide9
The slopes and lengths of 5 diagonals are given. Determine which two could be the diagonals of the same square.
slide10
The slopes and lengths of 5 diagonals are given. Determine which two could be the diagonals of the same square.