Transcript Geometry

THIS
IS 4th Math
With Your
Host
A
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E
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Roy drew a triangle with exactly two
congruent angles and two congruent sides.
What kind of triangle did Roy draw?
A. equiangular
B. equilateral
C. isosceles
D. scalene
A 100
C. isosceles
An isosceles triangle is a triangle with two
congruent (equal) angles and two congruent
(equal) sides.
A 100
The spaces in a parking lot are marked by the line
segments, as shown.
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
Which describes the line segments that are marked
in the parking lot?
A. Curved
B. intersecting
C. parallel
D. perpendicular
A 200
C. parallel
A 200
A bug lands on a rope stretched between
two trees on a lawn at a park. Which
object (the bug, the rope, the lawn, the
park) is best described as a point?
A. Bug
B. Rope
C. Lawn
D. Park
A 300
A. Bug
A 300
A map of Andrew’s neighborhood is shown.
Andrew lives on the street that appears to be
parallel to the railroad tracks. On which street
does Andrew live?
A.
B.
C.
D.
Washington Street
Lincoln Street
Adams Street
Jefferson Street
A 400
B. Lincoln Street
A 400
A cone and a cylinder are shown.
Give one way that a cone and a cylinder are
alike.
Give one way that a cone and a cylinder are
different.
A 500
To answer this question correctly, students must identify at least one way that a cone
and a cylinder are similar and one way they are different. A cone and a cylinder are
alike because both are 3-dimensional objects. They are also alike because both have
at least one circular base (a cone has one and a cylinder has two).
A cone and a cylinder are different because a cone has only one circular base and a
cylinder has two. They are also different because a cone narrows to a point at one
end. Also, a cone has two faces and a cylinder has three.
Sample Correct Responses:
•A cone and a cylinder are alike because both are 3-dimensional. They are
different because the cylinder has circles at both ends and the cone narrows to a
point at one end.
•They both have a circle for a base. The cone has two faces but the cylinder has
three faces.
The focus of the task is to provide evidence of an understanding of describing and
comparing three-dimensional objects using their attributes. The response indicates a
correct statement of at least one mathematically relevant similarity and one
mathematically relevant difference between a cone and a cylinder.
A 500
The shapes shown are part of a design. What do all
these shapes appear to have in common?
A. All have four right angles.
B. All have at least one set of parallel sides.
C. All have four equal angles
D. All have at least one set of perpendicular lines
B 100
B. All have at least one set of
parallel sides.
B 100
How are a rhombus and a square alike?
A. They both have four equal sides.
B. They both have four right angles.
C. They both have four equal angles.
D. They both have only one pair of
parallel sides.
B 200
A. They both have four equal
sides.
B 200
Mr. Yang is driving to the school located at (2,
0) on the coordinate grid. Which school is
located at (2, 0)?
A.
B.
C.
D.
Cedar Crest
Jackson
Lincoln
Prairie View
B 300
A. Cedar Crest
B 300
Which pair of figures shows only a translation
(slide)?
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
B 400
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
B 400
DAILY
Place A Wager
DOUBLE
C 400
Joe and Janice are playing a guessing game. Joe tells Janice that he is
thinking of a quadrilateral with at least one pair of parallel sides.
QuickTime™ and a
TIFF (Uncompressed)
decompressor
Then, Joe tells Janice
that the figure has
4 right angles.
are needed to see this picture.
QuickTime™
QuickTime™and
andaa
TIFF
TIFF(Uncompressed)
(Uncompressed) decompressor
decompressor
are
are needed
neededtotosee
seethis
this picture.
picture.
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
B 500
Joe tells Janice that he is thinking of a quadrilateral (a shape with
four sides) with at least one pair of parallel sides (line segments that
are always the same distance apart). The five quadrilaterals with at
least one pair of parallel lines are a square, trapezoid, rectangle,
parallelogram, and rhombus.
Then, Joe says that his shape has four right angles (90シ angles).
Only squares and rectangles must have four right angles.
Finally, there are several acceptable rules. For example, the rule that
the figure has 4 sides of equal length will make the shape a square.
Or, only two sides have the same length describes a rectangle.
B 500
The grid shows two shapes. What
transformation changed shape 1 to shape 2?
A.
B.
C.
D.
Rotation (turn)
Translation (slide)
Reflection (flip)
No transformation
C 100
C. Reflection (flip)
C 100
Kevin has the two butterfly stickers shown.
Which transformation could he use to see whether the
butterflies are congruent?
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
A. translation (slide)
B. rotation (turn) and translation (slide)
C. reflection (flip)
D. rotation (turn)
C 200
C. reflection (flip)
C 200
Tamika made a model of a house, as shown below,
by gluing together a cube and a square pyramid.
How many faces does the model of the house have?
A. 4
B. 8
C. 9
D. 11
C 300
C. 9 faces
C 300
Which of the following shapes has only
acute angles?
C 400
C 400
Six triangles are shown.
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
Circle each triangle that appears to be
scalene.
Explain how you decided which triangles are
scalene.
C 500
A scalene triangle is one where all three sides are a different length. In this problem,
there are three triangles that appear to have different side lengths:
・Circles the three triangles that appear to be scalene.
The scalene triangles are the ones that look like all of the sides are different lengths
and all of the angles are different measures.
Circles two of the triangles that appear to be scalene.
I circled those triangles because it looked like none of the sides are the same length.
The focus of the task is to provide evidence of identifying and defining triangles
based on angle measures and side measures. The response correctly identifies at
least two of the triangles that appear to be scalene and provides an adequate
explanation that demonstrates an understanding of the meaning of scalene.
C 500
Jane will cut the paper shape shown below in a
straight line from point X to point Y.
What two shapes will Jane have after she cuts the
paper?
A. a square and a triangle
B. a square and a trapezoid
C. a rectangle and a triangle
D. a rectangle and a parallelogram
D 100
C. a rectangle and a triangle
D 100
Which figure represents PQ?
D 200
D 200
Which best describes this figure?
A. intersecting line segments
B. intersecting lines
C. perpendicular line segments
D. parallel line segments
D 300
B. intersecting lines
D 300
Which pair of streets intersect but are not
perpendicular?
A. Washington Ave. and Broadway
B. Broadway and 2nd Ave.
C. Washington Ave. and Madison Ave.
D. Madison Ave. and 1st Ave.
D 400
D. Madison Ave. and 1st Ave.
D 400
Two triangles are drawn on the grid.
Which transformation - reflection (flip), translation
(slide) or rotation (turn) - can Bill use to determine
whether the two triangles are congruent?
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
Explain how this transformation shows Bill that the
two triangles are congruent?
D 500
The triangles have the same orientation (they
face the same way). To figure out whether the
shapes are congruent (same shape and same
size), students can use a translation (slide) to
move one triangle so that it is on top of the
other triangle. If the sides of the triangles
match up exactly, then they must have the
same size and shape, so they are congruent.
D 500
How many vertices does a pentagon
have?
A.3 vertices
B. 4 vertices
C. 5 vertices
D. 6 vertices
E 100
C. 5 vertices
E 100
What is the name of this polygon?
A. pentagon
B. hexagon
C. octagon
D. triangle
E 200
C. octagon
E 200
Brent drew a line dividing this figure
into two figures.
Which describes the two figures that
Brent formed?
A. triangles
B. Hexagons
C. quadrilaterals
D. pentagons
E 300
A. triangles
E 300
Which point is located at (2,5)?
A. point G
B. point I
C. point K
D. point L
E 400
B. point I
E 400
Which two three-dimensional figures have
the same number of faces, edges and
vertices?
A. cube and rectangular prism
B. triangular prism and rectangular prism
C. triangular pyramid and rectangular
pyramid
D. cube and triangular prism
E 500
A. cube and rectangular prism
E 500
The Final Jeopardy Category is:
Please record your wager.
Click on screen to begin
John is going to draw
a rectangle on a
coordinate grid. He
has plotted three
points so far.
What are the ordered pairs for each point that John
plotted?
A. ___________ B. ____________ C. __________
Where should John plot D to complete the
rectangle?
Click on screen to continue
A. 2, 5 B. 4, 5
C.
4, 2
2,1
Click on screen to continue
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