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Type: Multiple-Choice
Category: Quadrilaterals
Level: Grade 10
Standards: HSG-CO.C.11
Author: nsharp1
Created: 6 years ago

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Quadrilaterals Question

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Grade 10 Quadrilaterals CCSS: HSG-CO.C.11

What is the missing statement in step 6 of the following proof?

Given: Quadrilateral

$ABCD$ with diagonal

$bar{BD}$ where

$bar{AB}$ ||

$bar{CD}$ and

$bar{BC}$ ||

$bar{AD}$
Prove:

$bar{AB} ~= bar{CD}$

Parallelogram ABCD v4

$\ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \$	$" Reason "$
$1. bar{AB}$ \|\| $bar{CD}$	$1. "Given"$
$2. ang ABD ~= ang CDB$	$2. "Alternate interior angles are congruent"$
$3. bar{BC}$ \|\| $bar{AD}$	$3. "Given"$
$4. ang ADB ~= ang CBD$	$4. "Alternate interior angles are congruent"$
$5. bar{BD} ~= bar{BD}$	$5. "Reflexive Property"$
$6.$	$6. "Angle-Side-Angle Postulate"$
$7. bar{AB} ~= bar{CD}$	$7. "Corresponding sides of congruent triangles are congruent"$