幾何
三角形、円、座標幾何、証明問題。
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13 a) (x,y)→(x + 2,y + 4) b) (-2 4) 15. p(1, -2) is the image of p afte…
$(9,-2)$
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3. the length of a rectangle is $\frac{w + 3}{w^{2}+w - 12}$ and the wi…
$\frac{w + 3}{(w-3)^{2}}$
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which segment is opposite to ∠z? answer zp zh ph
C. $PH$
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e is the midpoint of df. find the value of x and each missing length. #…
$x = 11$ $DE = 35$ $EF = 35$ $DF = 70$
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e. m 90° n o ∠____ is a ____ angle f.
$\angle MNO$; right
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the figure below is dilated by a factor of $\frac{3}{4}$ centered at th…
Plot the points \((-3,0)\), \((-3,3)\) and \((3,0)\) and connect them.
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let jl = 24. find x and the missing segment lengths. #8: x = _____ * yo…
$x = 5$ $JK = 17$ $KL = 7$
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solve the right triangle shown in the figure. b = 15.1°, b = 35.5 a = 7…
$A = 74.9^{\circ}$, $a\approx132.07$, $c\approx136.28$
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2. rebecca hiking slope = \\frac{rise}{run}=____ unit rate = ____ mi/h
slope $=\frac{10}{5}$; unit rate $=2$
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select a pair of opposite rays. r s t rs st rt ts
\(\overrightarrow{ST}\) and \(\overrightarrow{TS}\) (assuming Option 2 is \(\overrightarrow{ST}\) and Option 4 is \(\overrightarrow{TS}\))
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which segment is adjacent to ∠h?
Segment HG
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name two planes that intersect at $overleftrightarrow{cd}$. plane abc p…
plane ABC, plane GHD
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in building a house, sabrina wants to know how much water will run off …
1450
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the slope of a graph. find the slope of the graph and the unit r 1. sco…
slope \(=\frac{1}{2}\), unit rate \(=\frac{1}{2}\) mi/h
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find the perimeter and area of the rectangle with vertices (-3, 0), (1,…
Perimeter: 18 units Area: 20 square units
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44: use the figure at the right to find all the true statements. select…
Points S, Q, and N are collinear. Plane A could also be named plane QNP. Points M, N, and R are coplanar.
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the graph shows the endpoints of one side of a regular pentagon. determ…
$106.05$
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a (-12,16) o (3,1) d = \\sqrt{(-15)^{2}+(15)^{2}} d =
$15\sqrt{2}\approx21.21$
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152 chapter 3 functions and graphs exer. 17 - 18: write equations of th…
The equations of the lines are $y=\frac{5}{4}x-\frac{11}{2}$ and $y=-\frac{4}{5}x-\frac{7}{5}$
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youre the coach of a kids soccer team and your first game is coming up …
167.35
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calculating perimeter and area using the distance formula game is comin…
$36.34556$
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solve the right triangle shown in the figure. a = 57.2°, c = 56 a. what…
$a\approx47.13$, $b\approx30.28$
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7. trapezoid orst with vertices o(2, 1), r(2, 5), s(4, 5) and t(8, 1) 9…
7. $Q'(1,-2)$, $R'(5,-2)$, $S'(5,-4)$, $T'(1,-8)$ 8. (No point $N$ coordinates given, can't provide specific answer but use rule $(x,y)\to(y,-x)$) 9. (No point $N$ coordinates giv…
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given: ℓ ∥ m; n ∥ p prove: ∠2≅∠4 statements: reasons: ℓ ∥ m ∠10 ≅ ∠14 n…
The reasons for the statements in the two - column proof are: - For $\ell\parallel m$: Given - For $\angle10\cong\angle14$: Given - For $n\parallel p$: Given - For $\angle2\cong\a…
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1. find the distance between the two points. x (-3, -2) and y (-6, 5) √…
$\sqrt{58}$
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find the area and perimeter of the rectangle with vertices (1, - 5), (-…
Area: 20 square units Perimeter: 18 units
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lines l and m are parallel lines cut by the transversal line t. which a…
$\angle3$, $\angle5$, $\angle7$
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in the image shown, line n is a transversal cutting parallel lines l an…
80°
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the length of a rectangle is twice its width. if the perimeter of the r…
length: 16 in width: 8 in
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if oq and rt are parallel lines which statement is true? a. ∠rsp≅∠rsu b…
A. ∠RSP ≅ ∠OPS
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angles and parallel lines. if qq and rt are parallel lines which statem…
A. $\angle OPS\cong\angle RSU$
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the image shows parallel lines cut by a transversal. the expressions re…
6
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answer the questions below. (a) the perimeter of a rectangular parking …
(a) 89 m (b) 77 m
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lines a and b are parallel. what is the measure of ∠8 if ∠1 measures 11…
D. 110°
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lines cut by a transversal the lines a and b are parallel. identify a p…
110°
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find the length of the third side. if necessary, round to the nearest t…
24
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lines cut by a transversal. the lines a and b are parallel. identify a …
$110^{\circ}$
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lines l and m are parallel lines cut by the transversal line t. which a…
B. ∠5
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lisa wants to replace a glass window in her restaurant. the window is i…
343
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the quadrilateral shown is a rhombus. what is m∠2? a 28° b 32° c 58° d …
58°
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is the following conditional true? if a triangle is equilateral, then a…
no
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the quadrilateral shown is a rectangle. what is m∠zwx? a 39° b 59° c 61°
B. $59^{\circ}$
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which of the following are true of the parallelogram? a opposite sides …
A. Opposite sides are congruent B. Opposite angles are congruent D. Diagonals bisect each other E. Diagonals form 2 congruent triangles
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quadrilateral jklm is a rhombus. find the missing values. m∠1 = m∠2 = m…
$m\angle1 = 42^{\circ}$ $m\angle2 = 42^{\circ}$ $m\angle3 = 90^{\circ}$ $m\angle KLM = 84^{\circ}$
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directions: graph and label each figure and its image. give the coordin…
1. $A'(-2,-6)$, $B'(-6,-7)$, $C'(-5,-3)$, $D'(-1,-2)$ 3. $F'(8,7)$, $G'(1,1)$, $H'(4,8)$ 5. $W'(6,-7)$, $X'(3,-6)$, $Y'(1,-3)$, $Z'(7,-1)$
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is the following conditional true? if a polyhedron has six faces, then …
no
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name area of a trapezoid period date 1) a= 2) a= 3) a= 4) a= 5) a= 6) a…
1. $77$ square feet 2. $8$ square miles 3. $24$ square mm 4. (Can't be determined) 5. (Can't be determined) 6. (Can't be determined) 7. (Can't be determined) 8. (Can't be determin…
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a rectangular lot is 110 yards long and 75 yards wide. give the length …
width = 35 yards length = 150 yards
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find the distance between the two points rounding to the nearest tenth …
$10$
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identify the hypothesis and the conclusion. then rewrite the conditiona…
The hypothesis is an angle is 107°. The conclusion is the angle is obtuse. If an angle is 107°, then the angle is obtuse.
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name______ period______ date______ area of a trapezoid 1) a = ______ 2)…
1. $99$ square feet 2. $8$ square miles 3. $28$ square mm
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find the area of this rectangle.
$\frac{5}{24}$
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rotation rules (clockwise): 90° rotation: (x, y)→(y, -x) what are the c…
(3,1)
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which angle is not congruent to ∠1?
∠2
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identify the converse, inverse, and contrapositive of the following con…
Converse: If a ray is an angle bisector, then the ray divides an angle into two congruent angles. Inverse: If a ray does not divide an angle into two congruent angles, then the ra…
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lines l and m are parallel lines cut by the transversal line t. which a…
∠2
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graph a right triangle with the two points forming the hypotenuse. usin…
5
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area of a trapezoid 1) a= 2) a= 3) a= 4) a= 5) a= 6) a= 7) a= 8) a= 9) …
1) $A = 88$ 2) $A = 8$ 3) $A = 36$ 4) $A = 11$ 5) $A = 72$ 6) $A = 51$ 7) $A = 130.5$ 8) $A = 18$ 9) $A = 88$
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the midpoint of $overline{ab}$ is $m(3,3)$. if the coordinates of $a$ a…
$(4,8)$
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area of a trapezoid 1) a= 2) a= 3) a= 4) a= 5) a= 6) a= 7) a= 8) a= 9) …
1. 77 square feet 2. 8 square miles 3. 28 square mm 4. 18 square inches 5. 72 square meters 6. 60 square feet 7. 25 square centimeters 8. 30 square yards 9. 66 square inches
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lines a and b are parallel. what is the measure of ∠5 if ∠4 measures 10…
D. $104^{\circ}$
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name______ period______ area of a trapezoid 1) a = ______ 2) a = ______
1. 99 square feet 2. 8 square miles
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youre the coach of a kids soccer team and your first game is coming up …
$167.34$ yards
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find the midpoint of the segment with the following endpoints. (-1, -2)…
$(1.5,3)$
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the perimeter of the rectangle below is 118 units. find the length of s…
$\frac{113}{3}$
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6x + 7 6y - 7 7x - 13 x = 20 y = 67/3
\(x = 20,y=\frac{67}{3}\)
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which of the following is a counterexample for this conditional stateme…
C. an oval
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multiple choice which number below shows a circle around a quarter note…
B. 2
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select the true statements about ∠1 and ∠2 in the figure shown. a. ∠1 a…
A. ∠1 and ∠2 are alternate exterior angles
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level 1 true or false: when a point is reflected across a line of symme…
true
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which angles are congruent to ∠7? why are they congruent to ∠7? select …
B. ∠6 because vertical angles are congruent C. ∠4 because alternate interior angles are congruent
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find the midpoint of points a(0, 0) and b(4, -4) graphically. plot the …
$(2,-2)$
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a gardener has 97 feet of fencing to be used to enclose a rectangular g…
The width of the garden is 13.5 feet and the length of the garden is 27 feet.
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in the drawing below, lines a and b are parallel lines cut by the trans…
B. ∠6 because vertical angles are congruent
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solve for m∠stv. answer m∠stv =
$57$
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5 units left and 2 units up. where would point j be if you translated p…
B. (-3,5)
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solve for m∠tuv. answer m∠tuv =
\(18\)
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solve for m∠tuv. answer m∠tuv =
\(18\)
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3 units right and 6 units up. determine where t would be if you transla…
C. \((5,1)\)
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point i is on line segment $overline{hj}$. given $hi = x, ij = 2x + 9$,…
27
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translate the blue shape to the pink shape... 3 right 1 down 3 left 1 u…
5 Right 2 Down
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question 14 point c is on line segment bd. given cd = 11 and bd = 17, d…
6
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triangle c is rotated 270° counterclockwise with the origin as the cent…
B. Option Text
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area of a trapezoid 1) a = ______
$99$ square feet
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24. $\frac{v + 9}{3}=8$ solve for v. a) - 3 b) 15 c) 60 d) 3 25. $6(n +…
24. b) 15 25. d) $n<-14$ 26. d) $x>-9$ 27. a) (assuming the graph with a closed - circle at 7 and shading to the right) 28. b) (assuming the graph with an open - circle at 6 and s…
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5. the base of a triangle is $\frac{2x^{2}+5x - 3}{x^{2}-x - 12}$ and t…
$\frac{x + 1}{2(x - 4)}$
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which transformation is not a rigid motion (the size changes)? reflecti…
B. dilation
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19) x = ___ 20) x = ___ ii. find the measure of each angle. 21) ∠1 22) …
19) $x = 28^{\circ}$ 20) $x = 65^{\circ}$ 21) ∠1 = 68° 22) ∠2 = 112° 23) ∠3 = 90° 24) ∠4 = 90° 25) ∠5 = 112° 26) ∠6 = 68°
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analytic geometry fill in the blank proofs: problem 5: statement reason…
**Problem 5**: ASA Postulate **Problem 6**: $\angle LMN$, AAS Theorem **Problem 7**: ASA Postulate **Problem 8**: SAS Postulate **Problem 9**: $YZ = CB$, AAS Theorem
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a rectangular area is to be fenced in along a straight river bank as il…
The width of the fenced - in area is 30 feet and the length is 36 feet.
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name______ period______ date______ area of a trapezoid 1) a = ______ 2)…
1. $88\ ft^{2}$ 2. $8\ miles^{2}$ 3. $32\ mm^{2}$
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2.5 assignment find the slope of both lines given two points they pass …
parallel
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solve for x. 2x + 4 3x + 1 x = type your answer...
$17$
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in each diagram, line a is parallel to line b. in which diagram does th…
C.
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in each diagram, line a is parallel to line b. in which diagram does th…
C.
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solve for x. 80° (x + 25)° x = type your answer...
55
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3 units left and 9 units down. determine where x would be if you transl…
\((-4,-5)\)
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problem 3: statement | reason 1. (gicong ki) | 1. given 2. (hi = ji) | …
3. Vertical angles are congruent. 4. SAS (Side - Angle - Side) congruence postulate.
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grammar lesson 4d: independent vs. dependent clauses directions: comple…
1. C. Independent clause 2. D. Dependent clause 3. A. Subordinating conjunction 4. B. Coordinating conjunction 5. No AAAWWUBBIS words or dependent clauses; independent clause 6. N…
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look at the diagram and evaluate. which of the statements below is fals…
$NO>MN$