Topic Test 3 & 4 Part 1 Review Lesson

​Topic Test 3 & 4 Part 1 Review Lesson

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Multiple Choice

Line l and m are cut by transversal n. Which statement proves that line l is parallel to line m? #8

• ∠2 ≅ ∠3; Vertical Angles are Congruent

• ∠2 ≅ ∠8; Same Side Exterior Angles Are Congruent

• m∠7 + m∠8 = 180°; Linear Pair Thm.

• m∠3 + m∠5 = 180°; Same Side Interior Angles are Supplementary

Multiple Choice

If angle P measures 60 degrees, what is the measure of angle C? #4

• 60^o
• 30^o
• 120^o
• 180^o

Multiple Choice

Which is a pair of alternate interior angles? #6

• ∠3 and ∠6

• ∠4 and ∠6

• ∠3 and ∠7

• ∠5 and ∠6

Multiple Select

Which of these angles are congruent to angle 5 and why? (Select all that apply) #11

• Angle 6, Same-Side Interior Angles are congruent

• Angle 8, Vertical Angles are congruent

• Angle 1, Corresponding Angles are congruent

• Angle 4, Alternate Interior Angles are congruent

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

Match

Use the diagram below to identify the given angle pairs. #16

• A. Vertical Angles

• B. Corresponding Angles

• C. Alternate Interior Angles

• D. Same - Side Interior Angles

• E. Supplementary Angles

∡2 & ∡3

∡2 & ∡6

∡4 & ∡5

∡4 & ∡6

∡6 & ∡8

• ∡2 & ∡3

• ∡2 & ∡6

• ∡4 & ∡5

• ∡4 & ∡6

• ∡6 & ∡8

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Perpendicular Bisector - Definition, Construction, Properties, Examples | Perpendicular Bisector of Triangle

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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.

Directed Line Segment Formula

Remember to use Order of Operation

Multiple Choice

Find the point P that partitions the line segment AB given the ratio.

A (3, 5) B(4, 3) with the ratio 3:1 #17

• (3.75, 2.5)

• (3.75, 3.5)

• (4.75, 1.5)

• (5.75, 1.5)

Multiple Choice

What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is $$\frac{2}{3}$$  the length of the line segment from A to B? #25

$$x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$$   $$y=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1$$  

• (2, –1)

• (4, –3)

• (–1, 2)

• (3, –2)

Multiple Choice

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3? #26

$$y=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$$  

• -6

• -5

• 5

• 7

Multiple Choice

Find the point that is 2/5 of the distance from C to D. #27

• (-1, 2)

• (0, 0)

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Multiple Choice

On the set of axes below, pentagon ABCDE is congruent to A"B"C"D"E". #29

Which describes a sequence of rigid motions that maps ABCDE onto A"B"C"D"E"?

• a rotation of 90° counterclockwise about the origin followed by a reflection over the x-axis

• a rotation of 90° counterclockwise about the origin followed by a translation down 7 units

• a reflection over the y-axis followed by a reflection over the x-axis

• a reflection over the x-axis followed by a rotation of 90° counterclockwise about the origin

Multiple Choice

What is the coordinate notation of the following composition of transformation? #38

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

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

• $$\left(x,y\right)\rightarrow\ \left(-x,\ y\right)$$ $$\left(x,y\right)\rightarrow\ \left(x,\ y-2\right)$$

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

• $$\left(x,\ y\right)\rightarrow\ \left(y,\ -x\right)$$ $$\left(x,\ y\right)\ \rightarrow\ \left(x,\ y\ -\ 2\right)$$

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

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Multiple Choice

What is the translation? #36

• (x, y) → (x - 4, y + 5)

• (x, y) → (x + 5, y - 4)

• (x, y) → (x + 4, y - 5)

• (x, y) → (x - 4, y - 5)

Multiple Choice

What is the algebraic rule? #35

• A

• B

• C

• D

Multiple Choice

Triangle FXY is rotated and then translated to a new location and named triangle ABC. Which of the following is true? #39

• ΔFXY is not congruent to ΔABC because nonrigid motions were performed.

• ΔFXY is congruent to ΔABC because non-rigid motions were performed.

• ΔFXY is congruent to ΔABC because only rigid motions were performed.

• ΔFXY is not congruent to ΔABC because only rigid motions were performed