WorksheetsFinal Review Day 1 (0615)
Total questions: 20
Worksheet time: 40mins
The vertices of JKL have coordinates J(5,1), K(-2,-3), and L(-4,1). Under which transformation is the image ΔJ'K'L' not congruent to ΔJKL?
a translation of two units to the right and two units down
a counterclockwise rotation of 180 degrees around the origin
a reflection over the x-axis
a dilation with a scale factor of 2 and centered at the origin
The center of circle Q has coordinates (3,-2). If circle Q passes through R(7,1), what is the length of its diameter?
50
25
10
5
As shown in the diagram below, the angle of elevation from a point on the ground to the top of the tree is 34°.
If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foot?
29.7
16.6
13.5
11.2
A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width of 8.5 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.25 pound per cubic foot. What is the weight, in pounds, of the contents in the container?
1632
408
102
92
In the diagram of circle A shown, chords CD and EF intersect at G, and chords CE and FD are drawn. Which statement is not always true?
CG ≅ FG
∠CEG ≅ ∠FDG
EGCE=DGFD
ΔCEG ~ ΔFDG
Which equation represents a line that is perpendicular to the line
represented by 2x - y = 7?
y=−21x+6
y=21x+6
y=−2x+6
y=2x+6
Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?
octagon
decagon
hexagon
pentagon
In the diagram of ΔADC, EB || DC, AE = 9, ED = 5, and
AB = 9.2. What is the length of AC, to the nearest tenth?
5.1
5.2
14.3
14.4
In scalene triangle ABC shown in the diagram, m∠C = 90°.
sin A = sin B
cos A = cos B
cos A = sin C
sin A = cos B
Quadrilateral ABCD has diagonals AC and BD. Which information is not sufficient to prove ABCD is a parallelogram?
AC and BD bisect each other
AB ≅ CD and BC ≅ AD
AB ≅ CD and AB ∥ CD
AB ≅ CD and BC ∥ AD
The equation of a circle is x2+(y+3)2−7=9 . What are the coordinates of the center and the length of the radius of the circle?
center (0,3) and radius 4
center (0, -3) and radius 4
center (0,3) and radius 16
center (0, -3) and radius 16
Triangles ABC and DEF are given in the diagram. If AB = 9, BC = 15, DE = 6, EF = 10, and ∠B ≅ ∠E, which
statement is true?
∠CAB ≅ ∠DEF
ΔABC ~ ΔDEF
CBAB=DEFE
DEAB=CBFE
If ΔABC is dilated by a scale factor of 3, which statement is true of the image ΔA'B'C'?
3A'B' = AB
B'C' = 3BC
m∠A' = 3(m∠A)
3(m∠C') = m∠C
Steve drew line segments ABCD, EFG, BF, and CF as shown in the diagram below. Scalene ΔBFC is formed. Which statement will allow Steve to prove AD || EG?
∠CFG ≅ ∠FCB
∠ABF ≅ ∠BFC
∠EFB ≅ ∠CFB
∠CBF ≅ ∠GFC
In the diagram, CD is the image of AB after a dilation of scale factor k with center E. Which ratio is equal to the scale factor k of the dilation?
EAEC
EABA
BAEA
ECEA
A gallon of paint will cover approximately 450 square feet. An artist wants to paint all the outside surfaces of a cube measuring 12 feet on each edge. What is the least number of gallons of paint he must buy to paint the cube?
1
2
3
4
In circle O shown, diameter AC is perpendicular to CD at
point C, and chords AB, BC, AE, and CE are drawn. Which statement is not always true?
∠ACB ≅ ∠BCD
∠ABC ≅ ∠ACD
∠BAC ≅ ∠DCB
∠CBA ≅ ∠AEC
In the diagram, ABC ~ DEC. If AC = 12, DC = 7, DE = 5, and the perimeter of ΔABC is 30, what is the perimeter of ΔDEC?
12.5
14.0
14.8
17.5
Which statement is sufficient evidence that ΔDEF is congruent to ΔABC?
AB = DE and BC = EF
∠D ≅ ∠A, ∠B ≅ ∠E, ∠C ≅ ∠F
A rotation maps AB onto DE, BC onto EF, and AC onto DF.
A dilation maps point A onto point D, AB onto DE, and ∠B onto ∠E.
In the diagram, AC = 7.2 and CE = 2.4. Which statement is not sufficient to prove ΔABC ~ ΔEDC?
AB || ED
DE = 2.7 and AB = 8.1
CD = 3.6 and BC = 10.8
DE = 3.0, AB = 9.0, CD = 2.9, and BC = 8.7
