Topic Test 5 & 6 Review Part 1

​Topic Test 5 & 6 Review Part 1

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Multiple Choice

What is the #3 Reason? #2

• Alternate Exterior Angles

• Alternate Interior Angles

• Vertical Angles

• Angle Bisector

Multiple Choice

Are these triangles congruent? If so, state the rule which you used to determine congruence. #3

• SAS

• SSS

• Both SSS and SAS

• Not necessarily congruent

Multiple Choice

How are the two triangles congruent? #4

• SSS

• SAS

• ASA

• Not enough information

Multiple Choice

$$State\ if\ the\ 2\ \Delta's\ are\ \cong,\ and\ if\ so\ justify.$$  #11

• $$\cong\ ,\ SAS$$  

• $$\cong,\ HL$$  

• $$not\ \cong$$  

• $$\cong,\ SSA$$  

Multiple Choice

$$Deter\min e\ if\ the\ 2\ \Delta's\ are\ \cong,\ if\ so,\ state\ the\ postulate\ used.$$  #12

• $$not\ \cong,\ not\ enough\ \inf ormation$$  

• $$\cong,\ SAS$$  

• $$not\ \cong,\ need\ the\ 3rd\ side\ to\ be\ =$$  

• $$\cong,\ SSS$$  

Match

Match the following: Using the tick marks for each pair of triangles, match the method (SSS, SAS, or ASA), if any, that can be used to prove the triangles are congruent. #14

SSS

SAS

ASA

NONE

• SSS

• SAS

• ASA

• NONE

Dropdown

What is the reason for # 5? ​

Select answer

What is the reason for #6? ​

Select answer

What is the reason for #7? ​

Select answer

​#16

Match

Match the following. #17

• Draw BD parallel to AC.

• m∠4+m∠2+m∠5=180∘

• ∠1≅∠4, ∠3≅∠5

• m∠1=m∠4, m∠3=m∠5

• m∠1+m∠2+m∠3=180∘

Parallel Postulate

Angle Addition Postulate and definition of straight edge

Alternate Interior Angles Theorem

Definition of congruent angles

Triangle Sum Theorem

• Parallel Postulate

• Angle Addition Postulate and definition of straight edge

• Alternate Interior Angles Theorem

• Definition of congruent angles

• Triangle Sum Theorem

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Multiple Select

Select all of the true statements. #9

• statement #1

• statement #2

• statement #3

• statement #4

• statement #5

Multiple Choice

$$Find\ the\ measure\ of\ \angle\ CAB$$  . #8

• $$13\degree$$  

• $$41\degree$$  

• $$87\degree$$  

• $$52\degree$$  

Multiple Choice

Solve for "y". #10

• No Clue

• 11.8 in

• 27 in

• 19 in

Dropdown

In an isosceles triangle that has exactly two equal sides, the equal sides are called legs, and the third side is called the base. The angle included by the legs is called the ​

Select answer

angle, and the angles that have the base as one of their sides are called the ​

Select answer

angle. ​  ​​ ​ ​#13

Multiple Choice

​Which of the following is the missing term in the proof? #20

• ∠W

• ∠X 

• ∠Y

• ∠Z

Multiple Choice

Use the image to answer the question. #24

• 13

• 25

• 53

• 65

Multiple Select

If KM = 60 units, JK = 4x-10, and JL is a perpendicular bisector of JL determine which of the following values are correct. Select three that apply.

#25

• $$x=15$$

• $$perimeter\ of\ \Delta JKM=160\ units$$

• $$x=5$$

• $$perimeter\ of\ \Delta JML=90\ units$$

• $$\overline{JK}=50\ units$$

Drag and Drop

What is the centroid (x,y) ( ​

Placeholder

, ​

Placeholder

)​ of the 3 given coordinates? #36Use the formula ((x1+x2+x3)/3, (y1+y2+y3)/3).

Drag these tiles and drop them in the correct blank above

-3

4

-4.5

3

-1.5

1

Multiple Choice

Find the coordinates of the centroid of $$\Delta XYZ\$$   with X(-4,2), Y(0,5), and Z(3,-1). #38

Use the formula ((x1+x2+x3)/3, (y1+y2+y3)/3).

• $$\left(\frac{-1}{3},2\right)$$  

• $$\left(\frac{1}{3},2\right)$$  

• $$\left(\frac{-1}{3},-2\right)$$  

• $$\left(\frac{-1}{3},\frac{-1}{2}\right)$$  

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Reorder

Reorder the steps for constructing a circumcenter of a triangle. #39

• Draw the perpendicular bisectors of all the sides of the triangle using a compass.

• Extend all the perpendicular bisectors to meet at a point. Mark the intersection point as O, this is the circumcenter.

• Using a compass and keeping O as the center and any vertex of the triangle as a point on the circumference, draw a circle, this circle is our circumcircle whose center is O.

1

2

3

• 1
• 2
• 3

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Reorder

Reorder the following steps for constructing an incenter of a triangle. #40

• Bisect one of the angles.

• Bisect another angle.

• Where they cross is the center of the inscribed circle, called the incenter.

• Construct a perpendicular from the center point to one side of the triangle.

• Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!

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• 5