幾何
三角形、円、座標幾何、証明問題。
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a square with vertices at (1,1), (1,3), (3,3), and (3,1) is dilated wit…
B. $(2,2),(2,6),(6,6),(6,2)$
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in geometry, a transformation that does not change the size or shape of…
1. Rigid - motion 2. Bilateral 3. Translation 4. Center of rotation 5. Dilation 6. Line of reflection 7. Rotational 8. Translational
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use the figure to complete each part. (a) name the sides of ∠2. and (b)…
(a) $\overrightarrow{FE}$, $\overrightarrow{FH}$ (b) ∠EFG, ∠GFE (c) F
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a triangle △ghi has vertices g(2,2),h(6,2),i(4,6). its image after dila…
B. 2
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use the figure to complete each part. (a) write two other names for ∠2.…
(a) $\angle PMQ$, $\angle QMP$ (b) Ray $MQ$, Ray $MN$ (c) $M$
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a triangle △ghi has vertices g(2,2),h(6,2),i(4,6). its image after dila…
B. 2
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if a triangle is rotated 180 degrees around its centroid, what is the e…
1. b. The triangle remains congruent but is flipped 2. a. 0 degrees 3. d. Size 4. c. Reflection
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ice hockey an official olympic - sized ice hockey rink measures 30 mete…
yes
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find the value of x and y if △jkl ~△ wyz. x= y=
$x = 21$ $y = 65$
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what is always preserved during a reflection? a. position b. color c. o…
1. d. Shape and size 2. c. The object looks the same as it did before the rotation 3. b. Inverse symmetry 4. a. They have the same length 5. a. Pivot point
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find the value of x and y if abcd ~ qsrp. a p 82° 97° d (x + 34)° b r (…
$x = 63$ $y = 32$
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(a) write two other names for ∠2. (b) name the sides of ∠nmq. (c) name …
(a) $\angle PMQ$, $\angle QMP$ (b) $\overrightarrow{MN}$, $\overrightarrow{MQ}$ (c) $M$
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find the perimeter of △ cbh if △ cbh ~△ feh, adeg is a parallelogram, c…
$18.9$
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gaming in a role - playing video game, the user navigates his or her ch…
17
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the pair of polygons is similar. find the value of x. x=
$5$
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the pair of polygons is similar. find the value of x. x + 1 3x + 1 8 20…
$3$
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a) yes; mnpl ~ ghjf because the corresponding angles are congruent; $\f…
D. no; $\frac{MN}{GH} eq\frac{NP}{HJ}$
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use the figure to complete each part. (a) write two other names for ∠2.…
(a) $\angle QMP$, $\angle PMQ$ (b) $\overrightarrow{MN}$, $\overrightarrow{MQ}$ (c) $M$
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7. ∠1 and ∠2 are vertical angles. if m∠1=(17x + 1)° and m∠2=(20x - 14)°…
$86^{\circ}$
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determine whether the pair of figures is similar. if so, find the scale…
B. no; \(\angle W eq\angle M\)
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use the figure to complete each part. (a) name the vertex of ∠sqr. (b) …
(a) Q (b) Ray QS, Ray QR (c) ∠TQR, ∠RQT
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in the figure shown, abcd ~ fghj. select all pairs of congruent angles.…
A. \(\angle A\cong\angle F\) C. \(\angle B\cong\angle G\) D. \(\angle C\cong\angle H\) E. \(\angle D\cong\angle J\)
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select the proportion that relates the corresponding sides. a) $\frac{g…
D. $\frac{FG}{JK}=\frac{GH}{KL}=\frac{FH}{JL}$
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in the figure shown, △fgh ~△jkl. select all pairs of congruent angles. …
A. $\angle F\cong\angle J$ C. $\angle G\cong\angle K$ D. $\angle H\cong\angle L$
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(a) name the vertex of ∠sqr. (b) name the sides of ∠2. (c) write two ot…
(a) Q (b) Ray QS, Ray QR (c) ∠RQT, ∠TQR
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write the equation of the line in fully simplified slope - intercept fo…
$y=-4x + 1$
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Perpendicular Graph 2: Neither Graph 3: Neither Graph 4: Parallel
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graph 1 parallel perpendicular neither graph 2 parallel perpendicular n…
Graph 1: Perpendicular Graph 2: Neither Graph 3: Neither Graph 4: Parallel
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in the figure shown, abcd ~ wxyz. select all pairs of congruent angles.…
A. \(\angle A\cong\angle W\) B. \(\angle B\cong\angle X\) D. \(\angle C\cong\angle Y\) E. \(\angle D\cong\angle Z\)
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(a) an angle measures 26°. what is the measure of its complement? measu…
64; 48
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in the figure, m∠1=(2x)° and m∠2=(x + 54)°. (a) write an equation to fi…
(a) Equation: 2x+(x + 54)=90 (b) m∠1 = 24°, m∠2 = 66°
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in the figure below, m∠1 = 5x° and m∠2=(x - 18)°. find the angle measur…
$m\angle1 = 165^{\circ}$ $m\angle2 = 15^{\circ}$
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the points t(-6,2), u(2,2), and v(-3,9) form a triangle. plot the point…
$24.2$
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determine whether the dilation from figure n to n′ is an enlargement or…
It is an enlargement. The scale factor is 2.
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given the segment on the graph, determine the end points of the segment…
$(x_1,y_1)=(-3,-4)$ $(x_2,y_2)=(-2,3)$ $M=(-2.5,-0.5)$
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the points n(-3,1), q(-3,-7), and p(1,-5) form a triangle. plot the poi…
$19.7$
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in the figure below, m∠1 = 5x° and m∠2=(x - 18)°. find the angle measur…
$m\angle1=\frac{250}{3}^{\circ}$, $m\angle2=\frac{20}{3}^{\circ}$
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in the figure below, m∠1 = 5x° and m∠2=(x - 18)°. find the angle measur…
$m\angle1 = 90^{\circ}$, $m\angle2 = 0^{\circ}$
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in the figure below, m∠1 = 38°. find m∠2.
$52^{\circ}$
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question: the points q(-1,5), r(-1,-4), and s(5,2) form a triangle. plo…
$24.2$
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eris is reviewing the blueprint shown of a stage he is planning to buil…
He should multiply the dimensions by $50\%$. The perimeter of the updated blueprint will be $24$ units.
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question 8 of 25 a school uses a model to plan a greenhouse that is 6 m…
B. 1 m x 5 m
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modals circle the correct answer. 1. she should ____ to college soon. a…
1. a) apply 2. b) had better not 3. a) pass 4. b) has to finish 5. b) have got to go Exercise 10: 1. a) writing 2. b) to call 3. a) traveling 4. b) not to go out 5. b) to study
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4. toonies (canada’s two - dollar coins) are wrapped in plastic rolls t…
a. 25 b. 3.125 inches c. 12.257 square inches
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for the set of triangle vertices, find the coordinates of the vertices …
$J'(-4,0)$ $K'(-2,2)$ $L'(-1,0)$
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vertical/adjacent/complementary angles (algebraic) unique id: 0056 scor…
$r = 8$
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true or false, the hypotenuse of a triangle within the unit circle is a…
true
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on a separate sheet of paper, graph the image of △fgh with the given ve…
$F(-2.5,1)$ $G(-1,1)$ $H(-1,-2)$
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exercise 7 prepositions of direction look at the map and fill in the bl…
Exercise 7: 1. between 2. in front of 3. on 4. next to 5. opposite Exercise 8: 1. a) and 2. b) but 3. a) and 4. b) but 5. c) or
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b. draw a net of the square pyramid including dimensions. c. find the s…
300 square feet
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for the set of triangle vertices, find the coordinates of the vertices …
$D'(3,3)$ $F'(0,0)$ $G'(6,0)$
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true or false, the origin of the unit circle is at the point (0,0). (1 …
True
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adverbs of manner change each adjective in parentheses into an adverb. …
1. quickly 2. beautifully 3. well 4. noisily 5. effectively Exercise 6: 1. a) adverb 2. b) adjective 3. b) adjective 4. b) adjective 5. a) adverb
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for the set of triangle vertices, find the coordinates of the vertices …
$S(0,0)$ $T(-5,0)$ $V(-10,-10)$
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which of the following is the correct equation for the unit circle? (1 …
\((x)^{2}+(y)^{2}=1\)
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find the measure of the missing angle. answer attempt 1 out of 2 a =
\(54^{\circ}\)
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3. using the following diagram 12 feet 10 feet 10 feet a. find the heig…
$\sqrt{119}\approx10.91$ feet
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annual report which item in the layout is a shape? text circle gradient…
B. circle
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find the distance between the two points in simplest radical form. answ…
$\sqrt{233}$
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find the distance between the two points in simplest radical form. (-3,…
$13$
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what is an example of a shape? rectangle sphere line photo
rectangle, sphere, line
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point f is on line segment eg. given fg = 3x - 5, ef = x, and eg = 5x -…
$4$
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what is the length of the line segment?
$2\sqrt{5}$
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question point s is on line segment rt. given rt = x + 5, st = 4x - 9, …
9
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find the distance between the two points (2,3) and (7,7).
$\sqrt{41}$
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entry ticket problems 3 problems problem 2/3 find the mid - point, $m$,…
$(1,3)$
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the large rectangle below represents one whole. what percent is represe…
20%
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problem 1/3 find the length of the segment zv.
$2\sqrt{65}\approx 16.12$
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pemdas graphic org name: cesar date: step 1: parentheses ( ) circle or …
1. 14 2. 36 3. 28
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the figure consists of 12 congruent equilateral triangles. the area of …
12a \(cm^{2}\) (6a + b) \(cm^{2}\) 2b \(cm^{2}\) (because the entire shaded region can be thought of as composed of two non - overlapping parts of area \(b\) in a symmetric way)
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how can you decompose the composite figure to determine its area? as a …
as a square and four semi - circles
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what is the area of the composite figure? 70 cm² 100 cm² 105 cm² 130 cm²
100 \(cm^{2}\)
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2. determine the surface area of the following 3 - d objects. round to …
The surface area of the cylinder is approximately 452 m². The surface area of the cone is approximately 18064 mm².
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four circles, each with a radius of 2 inches, are removed from a square…
$(64 - 16\pi)\text{ in.}^2$
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a square is inscribed in a circle of diameter 12\\sqrt{2} millimeters. …
$(72\pi - 144)$ $mm^{2}$
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a carpenter is making a wooden window frame that has a width of 1 inch.…
$5.5\pi + 106$ square inches
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using the midpoint and distance formulas, calculate the coordinate of t…
Length of Segment $\overline{AB}$: b. 5 Coordinates of Midpoint: c. $(2.5,3)$
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how can you decompose the composite figure to determine its area? as tw…
as a trapezoid, a rectangle, and two squares
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3 tries left where does peter de hooch use repetition as an organizing …
in the various sizes of rectangles used for the fireplace, windows, paintings, and maps.
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what is the area of the composite figure? (6π + 4) cm² (6π + 16) cm² (1…
\((12\pi + 16)\) \(cm^{2}\)
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name the ordered pair indicated by point d on the coordinate plane. fig…
(3, - 3)
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how can you decompose the composite figure to determine its area? as a …
as a semicircle, a trapezoid, and two rectangles
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name the ordered pair indicated by point b on the coordinate plane. fig…
(-3,1)
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name the ordered pair indicated by point a on the coordinate plane. fig…
(4,2)
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finding composite area the window shown is the shape of a semi - circle…
$11$
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this question has two parts. use the information to answer. in the circ…
Part A: E. $x - h$, F. $y - k$ Part B: C. $(x - h)^2+(y - k)^2=r^2$
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which value of x would make △suv≅△tuv by hl? 2 3 4 5
5
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an equilateral triangle with side lengths equal to 12\\sqrt{3} units is…
Apothem: 6; Radius: 12; Area of segment: $48\pi-36\sqrt{3}$
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the triangles are congruent by sss or hl. which transformation(s) can m…
rotation, then reflection
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open-ended question what is the coordinate point for z? pre - image tra…
(0,3)
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a certain triangle has a base (x) and a height (y). a new triangle is c…
D. 12 times larger
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this image has rotational symmetry. what is the smallest number of degr…
180
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problem 1/1 each large tick mark on the ruler represents 1 centimeter. …
$4.5$ cm
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find the graph of the point (-3, -1).
The right - hand graph (the point is 3 units to the left of the y - axis and 1 unit below the x - axis)
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find the graph of the point (-2, 0).
Mathematics - Geometry; The first graph (where the point is on the x - axis at - 2 and y = 0)
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a square and a rectangle have the same perimeter. the rectangle is 13 c…
B. 10 cm
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each large tick mark on the ruler represents 1 centimeter. select all s…
D. $\overline{FG}$
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each large tick mark on the ruler represents 1 centimeter. drag and dro…
$\overline{CD}$: 0.5 cm $\overline{EF}$: 1.5 cm $\overline{CE}$: 2.5 cm
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question 10 of 10 what is the approximate area of the shaded sector in …
A. 18.8 cm²
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each large tick mark on the ruler represents 1 centimeter. what is the …
3 cm