Topic Test 3 & 4 Day Practice

​Topic Test 3 & 4 Day 1 Practice

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Fill in the Blank

In the diagram, parallel lines l and k are cut by transversal p. The measure of angle 5 is 138°. What is $$m\angle3+m\angle6$$   ? #10 ***

 

Multiple Select

Lines e and f are parallel. The m $$\angle$$ 9 = 80° and m $$\angle$$ 5 = 55°. Which angle measures are correct? Select three options. #12

• m $$\angle$$ 2 = 125°

• m $$\angle$$ 3 = 55°

• m $$\angle$$  8= 55°

• m $$\angle$$  12 = 100° 

• m $$\angle$$  14 = 100°

Match

Consider the following figures given in the first row and match these figures with the correct name for the pair of angles shown in the figure. #20

Alternate interior angles

Alternate exterior angles

Corresponding angles

Vertical angles

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

• Vertical angles

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Multiple Choice

Which one is the correct construction for a perpendicular bisector? #21

• 1
• 2
• 3
• 4

Multiple Choice

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong? #23

• Eric should have started by putting the compass needle point at the midpoint of the segment AB.

• On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

• Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

• Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

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Multiple Choice

Determine the counter-clockwise rotation around the origin of the graphed transformation. #30

• 180 degrees

• 270 degrees

• 90 degrees

• all of the above

Multiple Choice

Which of the following shows a rotation 90 degrees counterclockwise about the origin and then a translation  $$\left(x,\ y\right)\rightarrow\left(x\ -\ 2,\ y\ -\ 5\right)$$  ?

#21

Match

Match each description of a transformation with the corresponding coordinate notation rule. #6

• Translate 3 units to the right and 2 units up.

• Translate 4 units to the left and 2 units down.

• Reflect across the

  𝑦 −axis.

• Rotate 180° about the origin.

(𝑥, 𝑦) → (𝑥 +3, 𝑦 + 2)

(𝑥, 𝑦) → (𝑥 −4, 𝑦 − 2)

(𝑥, 𝑦) → (−𝑥, 𝑦)

(𝑥, 𝑦) → (−𝑥, −𝑦)

• (𝑥, 𝑦) → (𝑥 +3, 𝑦 + 2)

• (𝑥, 𝑦) → (𝑥 −4, 𝑦 − 2)

• (𝑥, 𝑦) → (−𝑥, 𝑦)

• (𝑥, 𝑦) → (−𝑥, −𝑦)

Multiple Select

What dilation of scale factor can be used to create an image that is CONGRUENT to its pre-image? Check all that apply. #33

• Scale factor of 3.

• Scale factor of 1/3.

• Scale factor or -2.

• Scale factor of 1.

• Scale factor of -1.

Multiple Select

Triangle MRT is similar, but not congruent, to triangle ABC. Triangle ABC underwent two transformations to get Triangle LMN. Select two of the following pairs of transformations that could have occurred. #17

• Dilation of 1/2 and a translation of 8 units down

• 90-degree counterclockwise rotation and a dilation of 3.

• Translations of 5 units down and left and a reflection over the x-axis

• Reflection over y=3x+5 and a 180 degree clockwise rotation.

Fill in the Blank

On a coordinate plane, the position of two friends can be defined by the points A(2,5) and B(8,8). Their teacher is standing at point C, the teacher's distance from point A is twice the distance from point B. What is the y coordinate of point C? #9

Multiple Choice

Find the point that is 3/4 of the distance from X to Y.

• (-6, -2)

• (2, -4)

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Multiple Choice

Which rule was used to translate trapezoid DEFG to trapezoid D'E'F'G'? #22

• $$\left(x,\ y\right)\rightarrow\left(x\ -\ 4,\ y\ +\ 4\right)$$

• $$\left(x,\ y\right)\rightarrow\left(x\ +\ 4,\ y\ +\ 4\right)$$

• $$\left(x,\ y\right)\rightarrow\left(x\ -\ 4,\ y\ -\ 4\right)$$

• $$\left(x,\ y\right)\rightarrow\left(x\ +\ 4,\ y\ -\ 4\right)$$