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

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Grade 10 Triangles CCSS: HSG-CO.C.10

What is the missing reason in step 6?

Given:

$ang BAC ~= ang BCA$ and

$bar{BD} _|_ bar{AC}$ (point

$D$ , the intersection of the altitude from B to

$bar{AC}$ not shown)
Prove:

$bar{AB} ~= bar{BC}$

Equilateral Triangle Height v1

$\ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \$	$" Reason "$
$1. ang BAC ~= ang BCA$	$1. "Given"$
$2. bar{BD} _\|_ bar{AC}$	$2. "Given"$
$3. ang BDA, ang BDC " are right angles"$	$3. "Definition of perpendicular lines"$
$4. ang BDA = ang BDC$	$4. "All right angles are congruent"$
$5. bar{BD} ~= bar{BD}$	$5. "Reflexive Property"$
$6. Delta BDA ~= Delta BDC$	$6. ""$
$7. bar{BA} ~= bar{BC}$	$7. "Corresponding sides of congruent triangles are congruent"$