Name Date Class LESSON 9-2 Conditions for Parallelograms Practice and Problem Solving A/B Determine whether the figure is a parallelogram for the given values of the variables. Explain your answers. 1. x 9 and y 11 2. a 4. 3 and b 13 A quadrilateral has vertices E 1 1 F 4 5 G 6 6 and H 3 2. Complete Problems 3 6 to tell whether EFGH is a parallelogram* 3. Plot the vertices and draw EFGH. 4. Use the Pythagorean theorem to find the lengths of sides EF and HG* EF HG 5. Use the Slope Formula to find the slopes of sides EF and GH. slope of EF slope of HG 6. The answers to Problems 4 and 5 reveal something about figure EFGH. State the theorem that uses these facts to prove that EFGH is a parallelogram* Use the given method to determine whether the quadrilateral with the given vertices is a parallelogram* 7. Find the slopes of all four sides J 4 1 K 7 4 L 2 10 M 5 7. 8. Find the lengths of all four sides P 2 2 Q 1 3 R 4 2 S 3 7. Original content Copyright by Houghton Mifflin Harcourt. Additio....
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What is the condition for parallelograms?
Parallelogram: A parallelogram is a four-sided, two-dimensional shape that satisfies the following conditions: Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent.
What are the properties of parallelograms answer key geometry?
There are six important properties of parallelograms to know: Opposite sides are congruent (AB = DC). Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other.
What are the conditions for a parallelogram answer key?
Conditions for Parallelograms Both pairs of opposite sides are congruent. Both pairs of opposite angles are congruent. The diagonals bisect each other. One angle is supplementary to both its consecutive angles.
What are the conditions for parallelograms lesson 9 2?
If a quadrilaterals is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its consecutive angles are supplementary ($$ x + y =180). If a quadrilateral is a parallelogram, then its diagonals bisect each other.
What are the properties of parallelograms WS 5.1 1?
Opposite sides of a parallelogram are congruent. Opposite angles are congruent. Consecutive angles are supplementary. The diagonals bisect each other.
What are the properties of a parallelogram quizlet?
Match Opposite Sides are parallel. Opposite Sides are congruent. Opposite Angles are congruent. Consecutive Angles are supplementary. Diagonals bisect each other.
What are the properties of parallelograms geometry Chapter 6?
1:15 16:14 6-2 Properties of Parallelograms - YouTube YouTube Start of suggested clip End of suggested clip Alright so let's take a look at why this is. Okay I know that these sides are parallel so we'reMoreAlright so let's take a look at why this is. Okay I know that these sides are parallel so we're looking at this angle here and this angle. Here notice they are same side interior angles.
What are the properties of a parallelogram quizizz?
In a parallelogram, all angles are congruent. In a parallelogram, consecutive angles are congruent. In a parallelogram, consecutive angles are supplementary. In a parallelogram, consecutive sides are perpendicular.
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