Deck 10: Geometry As Transforming Shapes

Question 1

Determine the number of lines of symmetry in the figure below. ​ ​

A) 2
B) 3
C) 5
D) 1
E) 7

Answer 1

1

Question 2

Below are a figure and a translation vector. Determine the coordinates of I after the translation. ​ ​

A) ( 6 , 2 )
B) ( 3 , 4 )
C) ( 3 , 2 )
D) ( 3 , 6 )
E) ( 6 , 4 )

Answer 2

( 3 , 4 )

Question 3

The word "HIDE" has one (horizontal) line of symmetry. This means that if we flip the word over, it will still spell HIDE. Find another four-letter word that has horizontal symmetry. ​

A) BAKE
B) HIKE
C) BOOM
D) DOOM
E) EXIT

Answer 3

HIKE

Question 4

Which transformation would you use to best map onto ​ ​

A) rotate 90 degrees counterclockwise about T
B) rotate 90 degrees clockwise about S
C) rotate 45 degrees clockwise about S
D) reflect vertically about M
E) rotate 45 degrees counterclockwise about T

Question 5

If we rotate the minute hand at 3 o'clock 240 degrees clockwise, what will be the time? ​

A) 3: 20
B) 3: 40
C) 2: 20
D) 3: 34
E) 4: 40

Question 6

Look at the tessellation below, a hexagon that has been decomposed into six congruent hexagons called chevrons. Can you identify two chevrons in which the one is a rotation of the other about a common vertex? ​ ​

A) C and F
B) B and G
C) C and G
D) E and F
E) D and G

Question 7

Determine the smallest angle of rotation symmetry of the given figure. ​ ​

A) no rotation symmetry
B) 45 degrees
C) 180 degrees
D) 90 degrees
E) 60 degrees

Question 8

Tell whether the statement below is true or false. ​ If a figure has point symmetry , it must also have rotation symmetry. ​

A) true
B) false

Question 9

Determine the rotation image of figure below if it is rotated 270 degrees clockwise about point A. ​ ​

A) ​
B) ​
C) ​
D) ​
E) ​

Question 10

Triangles ABC and DEF are similar. Find the height of triangle DEF. Round to the nearest tenth.

A) 3.7 m
B) 3.1 m
C) 2.7 m
D) 3.3 m
E) 4.1 m

Question 11

Triangles ABC and DEF are similar. Find the length of side DF. Round to the nearest tenth. ​ ​

A) 7.7 cm
B) 7.2 cm
C) 8.2 cm
D) 6.6 cm
E) 6.8 cm

Question 12

Determine the coordinates of the vertex D of the rotation image of the following trapezoid ABCD if it is rotated 90 degrees clockwise about point X. ​ ​

A) ( 4 , 4 )
B) ( 2 , 2 )
C) ( 1 , 1 )
D) ( 3 , 3 )
E) ( 3 , 2 )

Question 13

Determine the number of lines of symmetry in the quilt patters below. ​ ​

A) 4
B) 1
C) 2
D) 0
E) 3

Question 14

Determine whether the two triangles below are congruent. ​ ​

A) Not congruent
B) Congruent

Question 15

Which of the following figures does not tessellate? ​

A) ​
B) ​
C) ​
D) ​
E) ​

Question 16

Determine the rotation image of triangle MAT if the triangle is rotated 90 degrees clockwise about point A. ​ ​

A) ​
B) ​
C) ​
D) ​
E) ​

Question 17

Look at the tessellation below, a hexagon that has been decomposed into six congruent hexagons called chevrons. Can you identify two chevrons in which the one is a reflection of the other? ​ ​

A) D and E
B) B and C
C) C and E
D) C and D
E) A and E

Question 18

The word "WITH" has one (vertical) line of symmetry if we write it vertically. Find another four-letter word that has vertical symmetry. ​

A) WALK
B) MANE
C) MATE
D) TAME
E) WHOM

Question 19

The figure below shows quadrilateral ABCD and a line of reflection r. Determine the coordinates of B ' reflected from B . ​ ​

A) ( 2 , 2 )
B) ( 1 , 2 )
C) ( 2 , 0 )
D) ( 2 , 1 )
E) ( 1 , 0 )

Question 20

Determine whether the two triangles below are congruent. ​ ​

A) Congruent
B) Not congruent

Question 21

For the following question, answer yes or no. ​ Are congruent polygons similar ? ​

A) no
B) yes

Question 22

Gerald has a photo that measures 4 × 6. If he enlarges the photo and the new width is 19.2 , what will be the length of the photo? Round your answer to the nearest tenth. ​

A) 28.8
B) 29.1
C) 28.3
D) 31.8
E) 57.6

Question 23

The diagram below shows how we can find the distance across a lake using the principle of similar triangles. If AB = 207 feet, BC = 110 feet, and CD = 295 feet, find the distance across the lake? Round your answer to two decimal places. ​ ​

A) 5551.36 feet
B) 1110.27 feet
C) 277.57 feet
D) 555.14 feet
E) 156.76 feet

Question 24

You use a copy machine to enlarge an 8" × 11" document, and you choose the 135 % enlargement setting. What will be the dimensions of the enlarged document? Round to the nearest hundredth of an inch. ​

A) 32.40 " x 44.55 "
B) 10.80 " x 14.85 "
C) 5.40 " x 7.43 "
D) 21.60 " x 29.70 "
E) 10.26 " x 14.55 "