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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 4 in the following proof?

Given that

$ABCD$ is a rectangle, prove that

$bar{AC}~=bar{BD} \ \$ (

$bar{AC}, bar{BD}$ not pictured).

Rectangle ABCD

$\ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \$	$" Reason "$
$1. ABCD " is a rectangle"$	$1. "Given"$
$2. bar{AB} ~= bar{CD}$	$2. "Opposite sides of a rectangle are congruent"$
$3. ang ABC, ang BCD " are right angles"$	$3. "Interior angles of rectangles are all right angles"$
$4.$	$4. "All right angles are congruent"$
$5. bar{BC} ~= bar{BC}$	$5. "Reflexive Property"$
$6. Delta ABC ~= Delta DCB$	$6. "Side-Angle-Side Postulate"$
$7. bar{AC} ~= bar{BD}$	$7. "Corresponding sides of congruent triangles are congruent"$