Proof Properties Practice

Authored by Kelsey Karlen

Mathematics

9th - 12th Grade

CCSS covered

Used 6+ times

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10 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

If $\angle1$ is supplementary to $\angle2$ and $\angle3$ is supplementary to $\angle2$ , then $\angle1\cong\angle3$ .

Congruent Supplements Theorem

Definition of Supplementary Angles

Transitive Property

Supplements Theorem

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the diagram:
If $\overline{XY}$ $\perp$ $\overline{VW}$ , then $\angle VZY$ is a right angle.

Definition of Angle Bisector

Definition of a Right Angle

Definition of Perpendicular

Angle Addition Postulate

Tags

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$x=x$

Symmetric Property

Transitive Property

Addition Property

Reflexive Property

Tags

CCSS.HSA.REI.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the diagram:
$m\angle RSU+m\angle UST=m\angle RST$

Definition of Angle Bisector

Segment Addition Postulate

Addition Property

Angle Addition Postulate

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If $\angle P$ and $\angle Q$ are complementary, then $m\angle P+m\angle Q=90\degree$ .

Definition of Complementary Angles

Complement Theorem

Congruent Complements Theorem

Addition Property

Tags

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If $\angle A$ and $\angle B$ form a linear pair, then $\angle A$ and $\angle B$ are supplementary.

Definition of Supplementary

Congruent Supplements Theorem

Supplement (Linear Pair) Theorem

Definition of Congruence

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If $\angle XYZ$ is a right angle, then $m\angle XYZ=90\degree$ .

Definition of Congruence

Definition of Right Angle

Definition of Perpendicular

Symmetric Property

Tags

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If $JK+KL=JL$ and $KL=AB$ , then $JK+AB=JL$ .

Substitution Property

Transitive Property

Symmetric Property

Addition Property

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If $MN+NP=ST$ and $AB+BC=ST$ , then $MN+NP=AB+BC$ .

Addition Property

Segment Addition Postulate

Substitution Property

Transitive Property

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If $E$ is the midpoint of $\overline{DF}$ , then $\overline{DE}\cong\overline{EF}$ .

Definition of Congruence

Definition of Midpoint

Segment Addition Postulate

Multiplication Property

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Proof Properties Practice

If ∠1\angle1∠1 is supplementary to ∠2\angle2∠2 and ∠3\angle3∠3 is supplementary to ∠2\angle2∠2 , then ∠1≅∠3\angle1\cong\angle3∠1≅∠3 .

Given the diagram:If XY‾\overline{XY}XY ⊥\perp⊥ VW‾\overline{VW}VW , then ∠VZY\angle VZY∠VZY is a right angle.

x=xx=xx=x

Given the diagram: m∠RSU+m∠UST=m∠RSTm\angle RSU+m\angle UST=m\angle RSTm∠RSU+m∠UST=m∠RST

If ∠P\angle P∠P and ∠Q\angle Q∠Q are complementary, then m∠P+m∠Q=90°m\angle P+m\angle Q=90\degreem∠P+m∠Q=90° .

If ∠A\angle A∠A and ∠B\angle B∠B form a linear pair, then ∠A\angle A∠A and ∠B\angle B∠B are supplementary.

If ∠XYZ\angle XYZ∠XYZ is a right angle, then m∠XYZ=90°m\angle XYZ=90\degreem∠XYZ=90° .

If JK+KL=JLJK+KL=JLJK+KL=JL and KL=ABKL=ABKL=AB , then JK+AB=JLJK+AB=JLJK+AB=JL .

If MN+NP=STMN+NP=STMN+NP=ST and AB+BC=STAB+BC=STAB+BC=ST , then MN+NP=AB+BCMN+NP=AB+BCMN+NP=AB+BC .

If EEE is the midpoint of DF‾\overline{DF}DF , then DE‾≅EF‾\overline{DE}\cong\overline{EF}DE≅EF .

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If $\angle1$ is supplementary to $\angle2$ and $\angle3$ is supplementary to $\angle2$ , then $\angle1\cong\angle3$ .

Given the diagram:
If $\overline{XY}$ $\perp$ $\overline{VW}$ , then $\angle VZY$ is a right angle.

$x=x$

Given the diagram:
$m\angle RSU+m\angle UST=m\angle RST$

If $\angle P$ and $\angle Q$ are complementary, then $m\angle P+m\angle Q=90\degree$ .

If $\angle A$ and $\angle B$ form a linear pair, then $\angle A$ and $\angle B$ are supplementary.

If $\angle XYZ$ is a right angle, then $m\angle XYZ=90\degree$ .

If $JK+KL=JL$ and $KL=AB$ , then $JK+AB=JL$ .

If $MN+NP=ST$ and $AB+BC=ST$ , then $MN+NP=AB+BC$ .

If $E$ is the midpoint of $\overline{DF}$ , then $\overline{DE}\cong\overline{EF}$ .