PERIMETER
AREA
LINES/RAYS/LINE SEGMENTS
ANGLES AND SYMMETRY
MEASURING ANGLES
100

Maya is building a square sandbox for her younger brother in the backyard. She knows that one side of the sandbox measures 12 feet.

What is the total perimeter of the sandbox?

48 SQUARE FEET

100

Which equation below represents the area (


) of the rectangular picture frame shown in the description below?


  • Length = 12 cm
  • Width = 8 cm

Choose the correct equation:

A.   A=12+8

B.   A=(2X12)+(2X8)

C.   A=12X8

D.   12=AX8

THE AREA CAN BE FOUND BY MULITPLYING THE LENGTH TIMES THE WIDTH SO 

A=12X8


C

100

Which of the following figures can never have 2 pairs of parallel sides?

Select TWO correct answers.

  • A. Triangle
  • B. Rhombus
  • C. Trapezoid
  • D. Parallelogram




NEITHER A TRAPEZOID OR A TRIANGLE CAN HAVE LINES OF SYMMETRY BECASUE THEY ARE MADE UP OF SLANTED LINE SEGMENTS AND CANNOT HAVE TWO SETS OF PARALLEL SIDES

100

Imagine a parallelogram (a four-sided shape that looks like a "slanted" rectangle). In this specific parallelogram, the top and bottom sides are parallel, and the left and right sides are parallel.

Describe the four interior angles in the parallelogram.

There are [___________] and [___________].

2 ACUTE ANGLES AND 2 OBTUSE ANGLES

100

Sofia is using a protractor to draw an angle that measures 115 DEGREES. First, she draws ray AB so that it points to the mark on the right side of the protractor.

To complete her 115 DEGREE angle, Sofia should draw another ray that starts at point and passes through:


  • Point X: Located at 115 DEGREES on the outer scale (and 65 DEGREES on the inner scale).
  • Point Y: Located at on the 115 DEGREES inner scale (and 65 DEGREES on the outer scale).
  • Point Z: Located at 15 DEGREES on the inner scale.

Which point should Sofia use?

A Point X
B Point Y
C Point Z
D None of the above




THE ANSWER IS LETTER B. POINT Y DEMONSTRATES 115 DEGREES, BECUASE IF YOU START AT ZERO ON THE RIGHT HAND SIDE OF THE PROTRACTOR YOU WOULD BE USING THE MEASUREMENTS ON THE INSIDE OF THE SCALE TO REACH 115 DEGREES, NOT THE NUMBERS ON THE OUTSIDE OF THE SCALE. THOSE NUMBERS ARE DESIGNATED FOR RAYS POINTING TO THE LEFT. 

200

Ms. Garcia is putting a wooden border around her rectangular vegetable garden. The garden is 18 feet long and 7 feet wide.

What is the perimeter of the vegetable garden?




50 SQUARE FEET

200

Maria is making a rectangular banner to hang in her classroom.

To find the area of the banner, Maria must find the:

  • A. Sum of the length and the width.
  • B. Difference between the length and the width.
  • C. Product of the length and the width.
  • D. Quotient of the length and the width.




THE ANSWER IS C

200

Imagine you are looking at a Square. Which of the following names can be used to describe this shape?

Select ALL that apply:

  • A. Quadrilateral
  • B. Parallelogram
  • C. Rectangle
  • D. Rhombus
  • E. Trapezoid

A SQUARE IS A QUADRILATERAL, A PARALLELOGRAM, A RECTANGLE, AND A RHOMBUS


A SQUARE IS NOT A TRAPEZOID BECUASE IT IS MADE UP OF TWO SETS OF PARALLEL LINE SEGMENTS

200

Sofia draws two lines on her whiteboard. The lines cross each other and form four perfect square corners where they meet.

Which term can be used to name what Sofia drew?

A Parallel lines
B Perpendicular lines
C Intersecting lines
D Ray lines




THE ANSWER IS B PERPENDICULAR LINES

200

Alex is using a protractor to draw an angle that measures 140 DEGREES. First, he draws ray XY pointing to the 0 on the right side of the protractor (using the inner scale).


To complete the 140 DEGREE angle, Alex should draw another ray that starts at point and passes through:


  • Point G: Passes through the marks for 40 DEGREES on the inner scale and 140 DEGREES on the outer scale.
  • Point H: Passes through the marks for 140 DEGREES on the inner scale and 40 DEGREES on the outer scale.
  • Point J: Passes through the 90 DEGREE mark.
  • Point K: Passes through the 180 DEGREE mark on the inner scale.

Which point should Alex use?

A Point G
B Point H
C Point J
D Point K

POINT H REPRESENTS 140 DEGREES BECUASE THE RAY IS POINT TO THE RIGHT SO YOU SHOULD USE THE SCALE ON THE INSIDE OF THE PROTRACTOR. THE SCALE ON THE OUTISDE THOS ENUMBERS ARE FOR RAYS THAT POINT TO THE LEFT. 

300

Find the perimeter of a rectangular deck with the following dimensions:

  • Length (L) = 14 ft
  • Width (W) = 12 ft

THE PERIMETER IS 52 SQUARE FEET

300

The student council is setting up a rectangular wooden dance floor for the spring formal. They want the total area of the dance floor to be exactly 60 square feet.


If the length of the dance floor is 12 feet, what should the width be?

THE WIDTH WOULD BE 5 FT BECAUSE

A=L X W

60 = 12 X W

12X5 =60 

SO THE WIDTH IS 5 FEET

300

Imagine a rectangular picture frame labeled ABCD.

  • Line segment AB is the top.
  • Line segment CD is the bottom.
  • Line segment BC is the right side.
  • Line segment DA is the left side.

Which statement about the line segments in this rectangle is NOT true?

  • A. Line segment AB is parallel to line segment CD.
  • B. Line segment BC is perpendicular to line segment CD.
  • C. Line segment AB is the same length as line segment BC.
  • D. Line segment DA is parallel to line segment BC.




STATEMENT C IS NOT CORRECT BECAUSE

AB is the same length as BC." (The top is the same length as the side). In a rectangle, the sides are usually different lengths unless it’s a square. WHICH MEANS This is NOT TRUE.

300

Mark draws a triangle on his paper. He uses a protractor to measure the angles and writes them down in this table:


Angle Name                     Angle Measure

Angle X                            30 DEGREES


Angle Y                            130 DEGREES


Angle Z                            20 DEGREES



What type of triangle did Mark draw?

A) Acute triangle, because at least one angle is acute.
B) Obtuse triangle, because all of its angles are obtuse.
C) Obtuse triangle, because exactly one angle is obtuse.
D) Right triangle, because it has three sides.

LETTER C AN Obtuse triangle, because exactly one angle is obtuse.

ANGLE X IS 30 DEGREES AND ACUTE

ANGLE Y IS 130 DEGREES AND OBTUSE

ANGLE Z IS 20 DEGREES AND ACUTE

300

Angle A and Angle B are placed side-by-side to form a perfect right angle.

  • The measure of Angle A is 54 DEGREES.
  • What is the measure of Angle B?

A. 144 DEGREES

B. 36 DEGREES

C. 46 DEGREES

D. 122 DEGREES



THE ANSWER IS 36 DEGREES

BECAUSE A RIGHT ANGLE EQUALS 90 DEGREES AND 90 - 54 = 36

400

Sam has 120 feet of chain-link fencing to build a rectangular dog run in his backyard. For which of these designs does Sam not have enough fencing?

  • Option A: Length = 35 ft; Width = 20 ft
  • Option B: Length = 40 ft; Width = 15 ft
  • Option C: Length = 50 ft; Width = 10 ft
  • Option D: Length = 45 ft; Width = 18 ft

OPTION D

400

Jenny is building a rectangular wooden deck in her backyard. The deck has an area of 80 square feet.


If the width of the deck is 8 feet, the length of the deck is:
[_________]

The perimeter of the deck is:
[_________]

THE LENGTH OF THE DECK IS 10 FEET BECAUSE A=LXW SO 80=8 X ?

8 X 10 = 80

SO THE WIDTH IS 10 FEET


THE PERIMETER WOULD BE 36 

BECAUSE P=L+L+W+W  OR P = 8+8+10+10

 WHICH IS 36 FEET

400

magine a stone garden paver shaped like a trapezoid. It has a short top side, a long bottom side, and two slanted sides.

Which statement about the line segments and angles in this trapezoid is NOT true?

  • A. It is a quadrilateral because it has 4 sides.
  • B. It has exactly 2 pairs of parallel sides.
  • C. It has at least one pair of parallel sides.
  • D. The sum of all its interior angles is 360 degrees

RESPONSE B IS NOT TRUE BECAUSE

"It has exactly 2 pairs of parallel sides." Wait! A trapezoid only has one pair of parallel sides (usually the top and bottom). If it had two pairs, it would be a parallelogram. This is NOT TRUE.

400

A triangle has one angle that measures 115 DEGREES and two smaller angles that are both 32.5 DEGREES.


Is the triangle an acute, obtuse, or right triangle?


Complete the sentence by filling in the blanks:

The triangle is (Blank 1) because it has (Blank 2).

  • Options for Blank 1: an acute triangle / an obtuse triangle / a right triangle
  • Options for Blank 2: one obtuse angle / one right angle / three acute angles

THE TRIANGLE IS AN OBTUSE TRIANGLE BECAUSE EXACTLY ONE ANGLE IS AN OBTUSE ANGLE.

400

Angle P and Angle Q are sitting next to each other on a flat, straight line. Together, they form a straight angle.

  • The measure of Angle P is 65 DEGREES.
  • What is the measure of Angle Q?

A. 25 DEGREES

B. 115 DEGREES

C. 125 DEGREES

D. 35 DEGREES



THE ANSWER IS 115 DEGREES 

BECAUSE A STRAIGHT ANGLE HAS 180 DEGREES AND 

180-65 = 115

500

Leo has 90 feet of decorative stone border to put around a new rectangular flower bed. For which of the following garden designs does Leo not have enough stone border?

  • Garden A: Length = 20 ft; Width = 15 ft
  • Garden B: Length = 32 ft; Width = 12 ft
  • Garden C: Length = 25 ft; Width = 21 ft
  • Garden D: Length = 40 ft; Width = 4 ft

GARDEN C

500

Marcus is installing a rectangular swimming pool in his backyard. The pool has an area of 54 square meters.


  1. If the width of the pool is 6 meters, the length of the pool is:
    [_________]
  2. The perimeter of the pool is:
    [_________]

THE WIDTH IS 9 METERS BECAUSE

A=LXW

54 = 6 X ?

54 = 6 X 9

THE PERIMETER OF THE POOL IS 30 METERS BECAUSE P = L+W+L+W

P= 9+6+9+6

P=15+15

P=30 METERS

500

Imagine you are looking at a blueprint for a new park. Match each "path" below to its correct geometric name: Line, Line Segment, or Ray.

  1. Path A: A walking trail that starts at the playground and ends at the water fountain. It has a definite beginning and a definite end.
  2. Path B: A laser beam shooting from a lighthouse out into the ocean. It starts at a specific point but travels forever in one direction.
  3. Path C: A perfect horizon line on a map that has arrows on both ends, showing it continues forever in both directions.

Think of the "arrows" as signs that say "Keep Going!"

  • Line Segment: Think of a "segment" as a piece. It has two endpoints (stops on both sides).
    • Answer for Path A: Line Segment
  • Ray: Think of a Sun Ray. It starts at the sun (one point) and travels away forever (one arrow).
    • Answer for Path B: Ray
  • Line: In math, a "Line" never stops. It needs arrows on both sides to show it goes on forever.
    • Answer for Path C: Line
500

Maya drew a triangle where two of the sides are perpendicular to each other. This means they meet to form one 90 DEGREE angle. The other two angles are both 45 DEGREES.


Which term describes Maya’s triangle?

A Obtuse triangle, because it has more than two angles.

B Right triangle, because there is exactly one 90 DEGREE angle.

C Acute triangle, because 45 DEGREES is an acute measurement.

D Right triangle, because all three angles are 90 DEGREES.


B Right triangle, because there is exactly one 90 DEGREE angle.

500

Leo is measuring ANGLE RST with a protractor. He notices that neither ray is pointing at zero.

  • Ray SR passes through the 135 DEGREE mark on the outer scale.
  • Ray ST passes through the 40 DEGREE mark on the same outer scale.

What is the measurement of ?


A) 135 DEGREES

B) 40 DEGREES

C) 95 DEGREES

D) 175 DEGREES


  

THE ANSWER IS C 95 DEGREES BECAUSE ANGLE RST IS MADE UP OF RAY RS AND RAY ST

SO THE DIFFERENCE BETWEEN THESE TWO NUMBERS WILL GIVE YOU THE DEGREE OF MEASUREMENT FOR ANGLE RST

SO 135-40=95