幾何
三角形、圓、解析幾何與證明題。
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what do you get when you cross a computer with a lifeguard? write the l…
for 1: R. right ## Step2: Match term to integer triple Definition of Pythagorean triple: A set of 3 positive integers satisfying $c^2=a^2+b^2$.
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elay race problems 2.) samuel placed a quarter circle tile on a table. …
$\frac{19}{4}$ square units (or 4.75 square units)
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solve for $x$. round to the nearest tenth, if necessary. right triangle…
$3.9$
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composite area relay 1.) the diagram shows a spot on a basketball court…
212.52 square feet
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7.) alex is tiling his entryway. the floor plan is drawn below. if the …
$\$614.25$
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find s. $2\\sqrt{6}$ km write your answer in simplest radical form. kil…
$2\sqrt{3}$ kilometers
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8. trapezoid abcd is shown. which measurement is closest to the length …
10 units
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square p square q square r what statement is true? the sum of the areas…
The sum of the areas of Square P and Square Q is equal to the area of Square R
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6. which measurements could not represent the side lengths of a right t…
C. 4, 7.5, 9
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find $k$. write your answer in simplest radical form. $\boldsymbol{squa…
$6\sqrt{3}$ meters
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circle the correct definition: to remedy or set right. readdress redres…
Blue square: Redress, Red square: Redress
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area relay race problems 6.) victorias garden has a rectangular shape. …
296.07 square feet
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5. tamara is building a brace to attach her shelf to the wall as shown …
6.7 inches
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4. determine the length of the unknown side. 6 4.5 enter your answer in…
7.5
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3. a 26-foot board is leaning against a wall. it is set 10 feet from th…
C. 24 feet
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2. rectangle abcd is shown. which measurement is closest to the length …
D. 15.3 m
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1. two points are shown on a coordinate grid. which measurement is clos…
7 units
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name:finding perimeter and area of irregular rectangular shapesdirectio…
1.) $P = 58$ units, $A = 160$ square units 2.) $P = 76$ units, $A = 333$ square units 3.) $P = 66$ units, $A = 182$ square units 4.) $P = 66$ units, $A = 200$ square units 5.) $P …
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5.) citlalli enjoys creating models of sailboats. she designs a toy mod…
60 in²
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graph and label the image of the figure using the transformation given.…
1. Reflected vertices over $y=x$: $L'(1,-4), K'(3,-2), S'(1,2), X'(-2,-2)$ (graph by plotting these points) 2. Reflected vertices over x-axis: $D'(-2,1), Z'(-1,-2), S'(1,-2)$ (gra…
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fill in the missing statement and reason of the proof below.given: $ang…
$\boldsymbol{\angle GHF \cong \angle EID}$
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4. if $\\triangle jkl \\sim \\triangle mkn$, find the value of x.
$x = \frac{11}{4}$ or $x=2.75$
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16. (6.g.1) a diagram of joes living room wall with a geometric design …
C 120 ---
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which rule explains why these triangles are congruent? aas sas asa sss …
SAS
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12/20 the pythagorean theorem is $a^2 + b^3 = c^4$ true false
false
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if $x=5$, triangle 2 has the greater perimeter. 8 essay 2 points use th…
1. $16(1 + 3)$ 2. $27 + 9x$
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find the value of x. 7 10 9 8
10
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7 multiple answer 4 points the side lengths of two triangles are shown.…
1. The perimeter of Triangle 2 is 13x-20. 2. The perimeter of Triangle 1 is -x+38. 3. If x = 4, Triangle 1 has the greater perimeter. 4. If x = 5, Triangle 2 has the greater perim…
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22092x0xry_cms 2025-2026 nc math 2 credit recovery triangle congruence:…
1. $AB = 2.5$ cm and $MQ = 2.5$ cm 2. $AC = 3.9$ cm and $RQ = 3.9$ cm
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which equation would you use to solve for x? $13^2 + x^2 = 5^2$ $x^2 + …
$\boldsymbol{x^2 + 5^2 = 13^2}$ (the equation in the purple box)
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find the missing side 83.6 108 48 72
72
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which shows two triangles that are congruent by aas?
D. The bottom figure with two right triangles, marked with congruent right angles, one pair of congruent non-included sides, and a shared congruent side.
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in the figure below, $pq \\cong rq$ and $ps \\cong rs$ based only on th…
A. Side-Side-Side
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solve for r $c = 2\\pi r$
$r = \frac{C}{2\pi}$
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triangle abc with right angle bdc is shown below which additional fact …
A. $\overline{AD} \cong \overline{CD}$
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the present us state of hawaii is circled in red. in the early 20th cen…
Hawaii was important to imperialist countries for three key reasons: 1. Its central Pacific location provided a vital refueling and resupply hub, enabling extended military and co…
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which two triangles are congruent by the sas theorem? complete the cong…
$\triangle QRS \cong \triangle BCD$
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triangles abc and xyz are shown below.which statement does not provide …
B. Corresponding angles of both triangles are congruent.
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7/20 use the pythagorean theorem to solve for x. type your answer... (t…
12 m
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in the right triangle belowa. $overline{xy}$ and $overline{yz}$ are leg…
B. $\overline{XY}$ and $\overline{XZ}$ are legs of the triangle.
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which diagram represents a line of symmetry for the regular pentagon?
The second diagram (the one with the vertical dashed line passing through the top vertex and the midpoint of the bottom side)
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select the correct answer. what design feature of the hagia sophia was …
B. the main dome encircled by a band of forty windows.
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what is the area of this figure? 6 mm 6 mm 2 mm 2 mm 7 mm 5 mm 4 mm if …
89.13 mm²
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select the correct answer. which statement best defines an angle? a. tw…
C. two rays that share a common endpoint called the vertex
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select the correct answer from each drop-down menu. given: $angle xob c…
First blank: linear pair theorem Second blank: substitution property of equality
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volume of pyramids maze shade the arrow with the correct answer to comp…
Height of the triangular pyramid: $\boldsymbol{12}$ meters Volume of the chocolate treat: $\boldsymbol{150}$ cubic centimeters
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the dimensions of a triangular pyramid are shown in the diagram.14 ft10…
1. Volume of the first triangular pyramid: 280 cubic feet 2. Height of the second triangular pyramid: 12 meters 3. Volume of the chocolate treat: 150 cubic centimeters
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given: $\triangle afc cong \triangle efc$, $overline{bc} cong overline{…
The missing statement for Step 4 is $\boldsymbol{\angle A \cong \angle E}$ with the reason *Corresponding Parts of Congruent Triangles are Congruent (CPCTC)*.
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which of the following statements are true for a rhombus? select all th…
A. All four sides are congruent. B. Consecutive angles are supplementary. E. The diagonals are perpendicular. F. The diagonals bisect each other.
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1) polygon y is a scaled copy of polygon x. 2) what is the value of d?
$3$
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find the indicated angle measures in the given rhombus. $m\\angle mpn$ …
$m\angle MPN = 90^\circ$ $m\angle PMN = 28^\circ$ $m\angle MNO = 56^\circ$ $m\angle MLO = 124^\circ$
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14pts a composite shape of a rhombus, a parallelogram, and a triangle i…
| Shape | Area (units²) | |---------------------|---------------| | Rhombus | 18.000 | | Parallelogram | 18.000 | | Triangle | 9.000 | | Composite Area (Total) | 45.000 |
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scarcity and opportunity cost practice activitiesdirections: for each o…
1. **Scarce (underline):** Thirty minutes of early time at school **Opportunity cost (circle):** Going to the corner store 2. **Scarce (underline):** $150.00 **Opportunity cost (c…
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complete the proof by choosing the correct eason\.given: $be = df$$ce =…
1. Reason: Segment Addition Postulate 2. Reason: Segment Addition Postulate 3. Reason: Given 4. Reason: Substitution Property of Equality 5. Reason: Given 6. Reason: Substitution …
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complete the proof by choosing the correct eason\. given: $m \\angle pt…
1. Angle Addition Postulate 2. Angle Addition Postulate 3. Given 4. Substitution Property of Equality 5. Subtraction Property of Equality
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8 the diagonals of rectangle wxyz intersect at v. given that $mangle vx…
\(m\angle WXZ = 67^\circ\) \(m\angle WYX = 23^\circ\)
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1) this is the graph of the equation $y = -\frac{3}{2}x - 3$. 1) which …
(0, -3)
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which graph decreases, crosses the y-axis at $(0, -7)$, and then increa…
A. Graph C
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look at this shape: which image shows a reflection? a b c
B. The shape in option B that is a mirror reflection of the original
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2. dilate quadrilateral wxyz with a scale factor of $\frac{1}{2}$ cente…
$W(4, -2)$ $X(7.5, 1)$ $Y(7.5, 3)$ $Z(7, -1.5)$
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unit 7 test sp 26 which of the choices below represents a pythagorean t…
B. 48, 55, 73
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23. use patterns and structure a rectangle has a width that is twice th…
The expression representing the length is $\boldsymbol{3x + 4}$. The area is factored to $2(3x + 4)^2$, which matches the form $2l^2$ (where width is twice the length, so area = $…
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1.1 find the values of x and y that ensure the quadrilateral is a paral…
1.1) $x=4$, $y=2$ 2.) $x=56$, $y=12$ 3.) $x=\frac{11}{3}$ 4.) $x=-30$
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similar by: ______________$delta yxz sim$ ______________11.
# Explanation: ## Step1: Identify similar triangles rule The two triangles share an angle, and the sides with lengths 12, $x$, and the altitudes 18 form proportional pairs (AA sim…
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represent $sqrt{18}$ on the number line. place a point on the number li…
The point representing $\sqrt{18}$ should be placed between 4.00 and 6.00, approximately 0.24 units to the right of 4.00 on the given number line.
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read the passage from part 2 of \for the win.\ jake began to hear barks…
character vs. nature
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pedro read othing but net.\ he wants to connect with the setting so he …
○ There was a set of rugged swings to the side.
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represent $-sqrt{23}$ on the number line. place a point on the number l…
The point should be placed approximately 0.8 units to the left of the -4.00 mark on the number line, between -6.00 and -4.00, to represent $-\sqrt{23}\approx-4.796$.
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which angle measurements do not create a triangle? 90,45,45 50,60,40 50…
50,60,40
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across 1. this is what the new and original figures are when a dilation…
Across: 1. Similar 3. Congruent Image (or Mirror Image) 8. Is Slid (Remains Congruent) 11. Rotation 12. Clockwise 13. Enlargement 14. Translation 15. Transformation Down: 2. Count…
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which would be the best classification for the triangle shown?obtuse is…
acute isosceles
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finding the area of a triangle what information relevant to calculating…
1. Relevant information: All three side lengths of the triangle: $DF=7$, $FE=10$, $ED=12$ 2. Method to use: Heron's Formula (since we know all three sides of the triangle) 3. Calc…
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name the sides from smallest to largest 1. $rt < st < rs$ 2. $rt < rs <…
RT < RS < ST
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triangle hij is the image of triangle hij under a reflection across the…
Reflection: $(x, y) \to (x, -y)$ Rotation: $(x, y) \to (y, -x)$
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28. write the slope-intercept form of the equation of the line passing …
[A] $y = -3x + 12$ --- ### Question 29
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the triangle pqr is rotated counterclockwise about the origin to form a…
The measure of \(\angle P'Q'R'\) is \(83^\circ\).
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look at this shape: which image shows a rotation? a b c
C. The image labeled C showing the rotated purple quadrilateral
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the triangle pqr is rotated counterclockwise about the origin to form a…
The measure of \(Q'R'\) is 7 centimeters.
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solve for x using the given information and the diagram below. (4 pts)$…
$x=13$ --- ### Second Problem ($\Delta ABC \sim \Delta XYZ$ true statements)
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5. in your own words how can you find the surface area of a prism?
To find a prism's surface area: 1. Calculate the area of one of its two identical polygonal bases, then double this value to get the total area of both bases. 2. Find the perimete…
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7. draw an example of the alternate interior angles theorem. 78. find $…
B. $102^\circ$ --- ### For Question 9:
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drag the choices into the boxes to correctly classify each polygon. hex…
1. First polygon: hexagon 2. Second polygon: dodecagon 3. Third polygon: decagon
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how many sides does a pentagon have? enter your answer in the box. □ si…
5 sides
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Question was provided via image upload.
1. $\overrightarrow{GF}$ 2. $\overrightarrow{AB}$ (or any edge perpendicular to $\overrightarrow{BC}$, e.g., $\overrightarrow{BF}$) 3. Plane DGE 4. $\overrightarrow{AC}$ 5. [D] sk…
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which polygon appears to be regular? ○ figure a ○ figure b ○ figure c ○…
C. Figure C
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a telephone pole breaks and falls as shown. to the nearest foot, what w…
G. 18 ft
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the interior angles formed by the sides of a quadrilateral have measure…
$x = 34$
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which figures are polygons? select each correct answer. □ figure a □ fi…
A. Figure A B. Figure B C. Figure C
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write the equation of the line in slope-intercept form. write your answ…
$y=-\frac{3}{4}x+7$
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the sum of the measures of the interior angles of a regular decagon is …
144° (Option: 144°)
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brave changes 1 the new fire engine was a true beauty. the firefighters…
in the past
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now its time to practice on your own a certain regular decagon has a pe…
35.2 ft
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finding the area of an equilateral triangle of known perimeter what is …
27.7 square inches
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what is the measure of each angle of an equiangular triangle? enter you…
$60^\circ$
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4. lines a and b are parallel. what is the measure of angle 4?8. lines …
Angle 4: $37^\circ$ Angle 8: $144^\circ$
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four sides of a octagon each measure 12 cm. the perimeter of the octago…
5.5 cm
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5. lines c and d are parallel. what is the measure of angle 5? figure n…
$118^\circ$
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five sides of a decagon each measure 3 in. the perimeter of the decagon…
5 in.
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solve the inequality. express your answer using interval notation. grap…
$(-\infty, -26)$ For the graph: Draw a number line, place an open circle at -26, and shade all regions to the left of -26.
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33. find the distance between the two lines l and p: line l contains po…
$3\sqrt{5}$