Topic Test 5 & 6 Practice Day 2

​Topic Test 5 & 6 Practice Day 2

Multiple Choice

In this figure, 𝒍||𝒎. Jessie listed the first two steps in a proof that ∠𝟏 + ∠𝟐 + ∠𝟑 = 𝟏𝟖𝟎°. Which justification can Jessie give for Steps 1 and 2? #28

• Alternate interior angles are congruent.

• Corresponding angles are congruent.

• Vertical angles are congruent.

• Alternate exterior angles are congruent

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Reorder

Reorder the steps for constructing a circumcenter of a triangle. #3

• 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

Drag and Drop

What is the centroid (x,y) ( ​ ​​

Placeholder

  , ​

Placeholder

​   )​ of the 3 given coordinates? #37Use the formula ((x1+x2+x3)/3, (y1+y2+y3)/3).

Drag these tiles and drop them in the correct blank above

1

-2

1.5

-3

0

Multiple Choice

The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3). What are the coordinates of the center of ABC? #22

• (5,6)

• (7,3)

• (7,5)

• (9,6)

Multiple Choice

Triangle ABC has vertices A(0,0), B(3,2), and C(0,4). The triangle may be classified as #34

• equilateral

• isosceles

• right

• scalene

Multiple Select

What is true about △ABC? Select three options. #31

• $$\overline{AB\ }\perp\ \overline{AC}$$

• The triangle is a right triangle.

• The triangle is an isosceles triangle.

• The triangle is an equilateral triangle.

• $$\overline{BC}\ \parallel\ \overline{AC}$$

Multiple Select

Two sides of a triangle are 5 feet and 8 feet. Select all of the possible lengths of the third side. #28

• 3 ft.

• 4 ft.

• 6 ft.

• 10 ft.

• 13 ft.

Multiple Choice

What would be the reason for the final step? #15

• AAS

• ASA

• SSS

• SAS

Multiple Choice

Find the equation of the median line, from vertex A to the opposite side, $$\overline{BC}.$$  

A(9, 5), B(2, 5), C(4, 1) #32

• $$y=\frac{3}{2}x+2$$  

• $$y=\frac{5}{2}x+3$$  

• $$y=2x+2$$  

• $$y=\frac{1}{3}x+2$$  

Fill in the Blanks

Multiple Choice

Two sides of a triangle have the following measures. Find the range of possible measures for the third side. $$8,12$$   #17

• $$4<x<16$$  

• $$5<x<20$$  

• $$4<x<17$$  

• $$4<x<20$$  

Multiple Choice

Which of the following sets of lengths can NOT form a triangle? #21

• 9, 14, 24

• 3, 4, 5

• 18, 13, 12

• 9, 17, 9

Multiple Select

Two sides of a triangle are 5 feet and 8 feet. Select all of the possible lengths of the third side. #28

• 3 ft.

• 4 ft.

• 6 ft.

• 10 ft.

• 13 ft.

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

Determine if the two triangles are congruent. If they are, state the postulate.

• SAS

• AAS

• Not enough information

• SSS