10th
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Mathematics

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Mark Siroonian

3 years

Mathematics

10th

grade

Geometry Proofs

Mark Siroonian

1.2K
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16 questions

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1. Multiple Choice
30 seconds
1 pt
Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?
$\angle1$ and $\angle3$ are a linear pair
$\angle1$ and $\angle3$ are right angles.
$\angle2\cong\angle3$
$\angle1\cong\angle3$
2. Multiple Choice
30 seconds
1 pt
Given: ∠1 and ∠2 are supplementary. What can you conclude?
$m\angle1+m\angle2=180\degree$

$m\angle1+m\angle2=90\degree$
$m\angle1=m\angle2$
Nothing
3. Multiple Choice
2 minutes
1 pt
What does it mean to bisect a segment or an angle?
Split it into 3 equal parts.
Split it into 2 equal parts.
Split into 4 equal parts.
Double it.
4. Multiple Choice
30 seconds
1 pt
In the given proof, what are the reasons for step 1 and 2?
Angles that form a linear pair are supplementary.
Substitution
Reflexive Property of Congruence
Angles of equal measure are congruent.
5. Multiple Choice
30 seconds
1 pt
In the given proof, what is the reason for step 1?
Angles that form a linear pair are supplementary.
Angles of Equal Measure are Congruent
Reflexive Property of Congruence
Definition of a Perpendicular Bisector
6. Multiple Choice
30 seconds
1 pt
In the given proof, what is the statement for step 2?
Angles that form a linear pair are supplementary. $m∠1+m∠3=180°$
$m∠3+m∠5=180°$
$m∠1=m∠3$
$\angle3\cong\angle5$
7. Multiple Choice
30 seconds
1 pt
In the given proof, what is the statement for step 2?
$AD≅DB$
$CD≅CD$
$m\angle ADC+m\angle BDC=180\degree$
$\angle ADC\cong\angle BDC$
8. Multiple Choice
30 seconds
1 pt
In the given proof, what are the reasons for steps 1 and 3?
Alternate Exterior Angle are Congruent
Reflexive Property of Congruence
Angles that form a linear pair are supplementary.
Alternate Interior Angles are Congruent.
9. Multiple Choice
30 seconds
1 pt
In the given proof, what is the reason for step 2?
Alternate Exterior Angle are Congruent
Reflexive Property of Congruence
Angles that form a linear pair are supplementary.
Alternate Interior Angles are Congruent.
10. Multiple Choice
2 minutes
1 pt
Why are these 2 triangles congruent, based on your proof?
ASA
SAS
SSS
Hypotenuse Leg Thm
11. Multiple Choice
30 seconds
1 pt
Since segment BD is part of both triangles, it is congruent to itself, what do we call this?
Substitution
Commutative
Reflexive
CPCTC
12. Multiple Choice
2 minutes
1 pt
Why are these 2 triangles congruent according to your proof?
ASA
SAS
SSS
Cannot be determined
13. Multiple Choice
2 minutes
1 pt
By what reasoning are the two triangles congruent?
SSS
SAS
ASA
The triangles are not congruent.
14. Multiple Choice
20 seconds
1 pt
Are the triangles congruent, if yes, why?
SSS
SAS
ASA
Not Congruent
15. Multiple Choice
30 seconds
1 pt
In the given proof, what is the reason for final step?
Reflexive Property of Congruence
Corresponding Parts of Congruent Triangles are Congruent
Angles that form a linear pair are supplementary.
Alternate Interior Angles are Congruent.
16. Multiple Choice
30 seconds
1 pt
In the given proof, what is the statement for step 4?
$\angle2\cong\angle3$
$m\angle1+m\angle4\ =180\degree$
$\angle1\cong\angle4$
$\Delta ABC\cong\Delta ACD$ .
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