Common Core Standard HSG-SRT.B.4 Questions

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Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 1?

Parallel Postulate
Given
If two lines are cut by a transversal and alternate interior angles are supplementary, the lines are parallel
If two lines are cut by a transversal and corresponding angles are congruent, the lines are parallel

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 3?

Reflexive Property of Congruence
Identity Property of Congruence
Reflection Property of Congruence
Given

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing statement in step 4?

$Delta BED \ ~ \ Delta ABC$
$Delta DEB \ ~ \ Delta ABC$
$Delta BDE \ ~ \ Delta ABC$
$Delta DBE \ ~ \ Delta ABC$

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 8?

Ratios of corresponding sides of similar triangles are equal
Division Property of Equality
Substitution Property of Equality
Corresponding sides of congruent triangles are congruent

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing statement in step 5?

$(AC)/(DE) = (AB)/(AD)$
$(AB)/(AD) = (BC)/(BE)$
$(BC)/(CE) = (AC)/(DE)$
$(AB)/(BD) = (BC)/(BE)$

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 3?

Definition of a midpoint
Given
Segment Equality Postulate
Substitution Property of Equality

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 6?

Definition of a right triangle
Pythagorean Identity
Sum of angles in a triangle equals 180°
Given

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 9?

Definition of a midpoint
Given
Segment Addition Postulate
Substitution Property of Equality

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 7?

Given
Angle Addition Postulate
Consecutive Interior Angles Theorem
Sum of the acute angles in a right triangle is 90°

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 14?

Ratios of corresponding sides in similar triangles are equal
Division Property of Equality
Segment Division Postulate
Transitive Property of Equality

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 9?

Addition Property of Equality
Transitive Property of Equality
Subtraction Property of Equality
Corresponding angles of congruent triangles are congruent

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing statement in step 15?

$Delta ABC \ ~ \ Delta ANM$
$Delta ABC \ ~ \ Delta AMN$
$Delta ABC \ ~ \ Delta MAN$
$Delta ABC \ ~ \ Delta MNA$

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing statement in step 14?

$Delta ACD \ ~ \ Delta CAB$
$Delta ACD \ ~ \ Delta BCA$
$Delta ACD \ ~ \ Delta ABC$
$Delta ACD \ ~ \ Delta ACB$

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 17?

If two lines are cut by a transversal, and vertical angles are congruent, the two lines are parallel
If two lines are cut by a transversal, and alternate exterior angles are congruent, the two lines are parallel
If two lines are cut by a transversal, and corresponding angles are congruent, the two lines are parallel
If two lines are cut by a transversal, and alternate interior angles are congruent, the two lines are parallel

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 18?

Given
Angle Addition Postulate
Consecutive Interior Angles Postulate
Sum of the acute angles in a right triangle is 90°

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing statement in step 27?

$Delta ABC \ ~ \ Delta CBD$
$Delta ABC \ ~ \ Delta CDB$
$Delta ABC \ ~ \ Delta DBC$
$Delta ABC \ ~ \ Delta DCB$

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing statement in step 28?

$(BC)/(BD) = (BC)/(AB)$
$(BC)/(BD) = (AB)/(BC)$
$(CD)/(AC) = (AB)/(BC)$
$(AB)/(CD) = (AB)/(BC)$

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing statement in step 30?

$(CD)/(AB) = (AB)/(AC)$
$(BC)/(AD) = (AB)/(AC)$
$(AC)/(AD) = (AC)/(AB)$
$(AC)/(AD) = (AB)/(AC)$

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 32?

Segment Addition Postulate
Given
Midpoint of a line segment
Perpendicular Bisector Theorem

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 34?

Binomial Expansion Theorem
Addition Property of Equality
Pythagorean Theorem
Perimeter of a triangle

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Common Core Standard HSG-SRT.B.4 Questions

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