Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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question 10 of 10 what is the distance from point n to lm→ in the figur…
B. 6.8
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27. mathematical connections tao rides his bike in a straight line from…
\((5,5)\)
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question 9 of 10 what is the measure of ∠spq in the figure below? a. 14…
C. $56^{\circ}$
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if a point is equidistant from the endpoints of a segment, then it is: …
A. on the perpendicular bisector of the segment.
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question 7 of 10 based only on the given information, it is guaranteed …
A. True
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put these parallel parking steps in order. straighten the wheel and bac…
1. Align your vehicle with the vehicle you'll park behind 2. Check traffic and reverse into the spot at an angle 3. Straighten the wheel and back up straight 4. Stop when your veh…
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find the measure of the missing angles. answer attempt 1 out of 2 d = °…
$d = 29^{\circ}$, $e = 41^{\circ}$, $f = 112^{\circ}$
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26. analyze and persevere are the steepest parts of the two water slide…
The two water - slides are not parallel because their slopes are different. For Teo and Luke, the coordinates of the meeting point are $(9,2)$.
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what is the measure of ∠rcd in the figure below? a. 35° b. 55° c. 11° d…
A. $35^{\circ}$
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question 3 of 10. based only on the given information, it is guaranteed…
A. True
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2) circle the misspelled word and write it correctly in the space below…
The misspelled word is "excede", the correct spelling is exceed.
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is the following conditional true? if a triangle has at least two angle…
no
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iii. mapping similar figures using dilations topic practice a. each fig…
1. Scale factor: \(\frac{1}{3}\), Rule: \((x,y)\to(\frac{1}{3}x,\frac{1}{3}y)\) 2. Scale factor: \(\frac{1}{4}\), Rule: \((x,y)\to(\frac{1}{4}x,\frac{1}{4}y)\) 3. Scale factor: \(…
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based only on the given information, it is guaranteed that $overline{ab…
B. False
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7. in △abc, the points j, l, and w are mid - points. ab = 22 cm, bc = 1…
a. \(6.5\ cm\) b. \(7\ cm\) c. \(24.5\ cm\)
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is the following conditional true? if a quadrilateral has four right an…
no
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which group of four ratios describes the pattern blocks? 10. which of t…
None of the given options are correct as the correct ratios comparing hexagons and triangles are 5:2 and 2:5.
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what is the distance from point y to (overline{wx}) in the figure below…
C. 16
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find the measure of the missing angles.
$d = 67^{\circ}$, $e = 21^{\circ}$, $f = 92^{\circ}$
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start by substituting the value of a and b in the pythagorean theorem e…
$c = 3\sqrt{10}$
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which group of four ratios describes the pattern blocks? 10. which of t…
2:5, 5:2
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1. triangle xyz has been enlarged with p as the center of dilation to f…
2. The scale factor is 5. 3. $A'(-2,-1)$, $B'(-1,0)$, $C'(11,0)$, $D'(4,-7)$ 4. $J'(-8,1)$, $K'(-2,0)$, $L'(-14,0)$
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9. which of the following ratios compares the number of circles to the …
3:14
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8. which of the following ratios compares the number of squares to the …
6:3
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if a point is on the bisector of an angle, then it is: a. on one side o…
B. equidistant from the two sides of the angle.
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5. triangle def is the image that resulted from a dilation of △abc usin…
$\frac{1}{3}$
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find the measure of the missing angles.
\(h = 127^{\circ}\), \(g = 53^{\circ}\), \(m = 98^{\circ}\), \(k = 82^{\circ}\)
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find the distance between the points (-2, -1) and (-1, -6). write your …
$\sqrt{26}$
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dilate △abc on the coordinate plane using the origin (0, 0) as the cent…
1. First, identify the coordinates of the vertices of \(\triangle ABC\): - Assume the coordinates of point \(A\) are \((x_A,y_A)\), point \(B\) are \((x_B,y_B)\), and point \(C\) …
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5. solve for x. 6. solve for x.
For problem 5: $x = 10$ For problem 6: $x = 8$
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find the measure of the missing angle.
\(36^{\circ}\)
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4. dilate △abc to form △def using the origin (0, 0) as the center of di…
The coordinates of the vertices of △DEF are \(D(4,4)\), \(E(4,20)\), \(F(12,4)\)
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find the measure of the missing angle. 100° a
\(80^{\circ}\)
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triangle mno is dilated by a scale factor of 2.5 to form △mno. perimete…
Perimeter of \(\triangle M'N'O'=56.25\) m Area of \(\triangle M'N'O'=61.25\) m²
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find the measure of the missing angle. answer attempt 2 out of 2 a = 112
\(a = 112^{\circ}\)
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1. dilate △abc on the coordinate plane using the origin (0, 0) as the c…
The vertices of the dilated $\triangle A'B'C'$ are $A'(4,2)$, $B'(8,8)$ and $C'(8,4)$
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1. de is a midsegment of △abc. find the value of x. 2. find pq. 3. find…
1. $x = 6$ 2. $PQ = 8$ 3. $WU = 18$ 4. $\overline{NP}\parallel\overline{RQ}$
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question name the plane that is highlighted in the diagram below. answe…
Plane UWR
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name the plane that is highlighted in the diagram below. answer attempt…
Plane UWR
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3. calculate the circumference and area of a circle with the given meas…
a. Circumference: 18.84 cm, Area: 28.26 cm² b. Circumference: 12.56 ft, Area: 12.56 ft²
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determine an algebraic expression for the perimeter of the following tr…
A. $2x + 6$
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name the plane that is highlighted in the diagram below. answer attempt…
Plane RSP
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find the x - and y - coordinates of the point d. the coordinates of d a…
$(0, - 4)$
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3. calculate the circumference and area of a circle. use 3.14 for π. a.…
Circumference: $18.84$ cm, Area: $28.26$ $cm^{2}$
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find the measure of the missing angle. 112° a answer attempt 1 out of 2…
$a = 112^{\circ}$
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find the measure of the missing angle.
\(147^{\circ}\)
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find the volume of the prism. round your answer to the nearest tenth, i…
$97.5$
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find the measure of the missing angle. 123° a answer a =
\(a = 57^{\circ}\)
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which angle number represents an angle adjacent to ∠jrm?
∠2
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calculate the surface area of the following. round each answer to the n…
$474.8$ mi²
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which angle number represents an angle adjacent to ∠fhc?
5
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2. use what you know about reflections to answer each question. a. refl…
a. Yes, it is still the word "MOM". b. | Vertex | Reflection Across y - Axis | Reflection Across x - Axis | | ---- | ---- | ---- | | $A(1,6)$ | $A'(-1,6)$ | $A''(1, - 6)$ | | $B(3…
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calculate the surface area of the following. show all your work. round …
The total surface area of the first cylinder is approximately $475.4$ square miles and the area of the label of the second cylinder is approximately $183.7$ square millimeters.
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geometry 1.1 homework 1. use the diagram to answer the following questi…
1. a) 6 b) 2 c) 1 d) Line $a$ e) Point $W$ f) $\overleftrightarrow{WZ}$ g) $V$, $X$, $Y$ h) Plane $VWXYZ$ 2. a) 10 b) 4 c) 2 d) $M$, $N$, $O$ e) $P$, $T$, $U$, $M$ f) $\overleftri…
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if m∠uxr = 80°, then what is m∠sxt?
$80^{\circ}$
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which angle number represents the linear pair of ∠tyw?
5
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does dilating an image create an image congruent to the pre - image? ex…
No, dilating an image does not create an image congruent to the pre - image because dilation changes the size of the image while congruent figures must have the same size and shap…
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use a compass and straightedge to draw a segment double the length of t…
A segment with length double of the given segment is drawn.
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multiple choice (single select) 13 points given that △abc ~ △def, ab:de…
B. 2
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use a compass and straightedge to copy $overline{op}$. your final answe…
A segment $\overline{O'P'}$ is drawn where the length of $\overline{O'P'}$ is equal to the length of $\overline{OP}$ using the compass - and - straightedge construction as describ…
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as shown in the figure, square abcd has a side length of 4. if $overlin…
D. \(\sqrt{17}\)
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true or false? every parallelogram is a rhombus. true false every recta…
1. False 2. True 3. True 4. False
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multiple choice (single select) 12 points given that the midsegment of …
A. 60
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true or false? every parallelogram is a square. true false every rhombu…
1. False 2. True 3. True 4. False
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graph the image of △tuv after a rotation 90° counterclockwise around th…
Plot the new triangle with vertices obtained by applying the 90 - degree counter - clockwise rotation rule $(x,y)\to(-y,x)$ to the original vertices of $\triangle TUV$.
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as shown in the figure, point o is the midpoint of $overline{ac}$, the …
D. 20
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as shown in the figure, in parallelogram $abcd$, $m$ is a point on the …
A. \(140^{\circ}\)
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5. it is known that ∠bam and ∠ctx are complementary. if m∠bam = 2x + 4 …
\(x = 22\) ### 6.
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a patio area is to be covered with outdoor tile. what is the area of th…
$837$ m²
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figures r, s, and t are all scaled copies of one another. figure s is a…
$\frac{1}{6}$
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figures r, s, and t are all scaled copies of one another. figure s is a…
6
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1. two angles whose measures sum to 180° are known as (1) vertical angl…
1. (2) supplementary angles 2. (3) adjacent angles 3. (3) 68° 4. Complementary Pair: Assume ∠A and ∠C (example values 30° and 60°). Supplementary Pair: Assume ∠C and ∠G (example v…
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figures r, s, and t are all scaled copies of one another. figure s is a…
$\frac{1}{3}$
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the graph shows pentagons vwxyz and vwxyz. which of the following trans…
rotation 180° around the origin
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directions: solve each of the following problems. be sure to number the…
1. **Escribir como numeral**: - "Seven thousand, four hundred seventy - two hundred - thousandths": - # Explanation: ## Step1: Identificar cada parte Los miles se representan como…
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1. a flag is represented by the coordinates a(3, 9), b(15, 9), c(15, 3)…
a. The angles of the dilated figure and the original figure are congruent. b. The side - lengths of the dilated figure are $\frac{1}{3}$ of the side - lengths of the original figu…
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the graph shows trapezoids abcd and abcd. which of the following transf…
translation left 5 units and down 9 units
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which number line model represents -6 + 2?
The number - line model that represents -6 + 2 is the one that starts at -6 and moves 2 units to the right (the circled option C in the image).
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question use slopes and y - intercepts to determine if the lines x = 2 …
Parallel
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quadrilateral a has side lengths 3, 6, 6, and 9. quadrilateral b is a s…
Disagree; 8
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the graph shows triangles qrs and qrs. which of the following transform…
rotation 180° around the origin
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the graph shows pentagons lm nop and lmnop. which of the following tran…
translation left 7 units and down 4 units
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what is a pareto diagram? ○ a. a pareto diagram is a display of two dat…
C. A Pareto diagram is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency
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drawing b: 1. starting at the x, measure 90 mm to the right and place d…
Follow the above - described steps to complete the drawing on the dot - grid paper.
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use the line tool to graph the line passing through (3,2) whose slope i…
Follow the steps above to graph the line on the provided grid using the line - tool.
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drag and drop the responses on the boxes provided to complete the sente…
A: in geometry can be defined in terms of angles, circles, and line segments. An angle of rotation measures the degree to which a shape or figure is rotated. Rotations are directl…
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11) a cement path consists of six equal - sized cement squares arranged…
11) 24 12) 63
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the area of a square is 400 square units. select all the statements tha…
- The area of the square would be a rational number. - The area of the square would be a perfect square.
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unit exam: basic constructions and transformations due: fri sep 5, 2025…
In geometry, a **translation** is a type of transformation that moves every point of a figure the same **distance** in the same **direction**. When a figure undergoes a **translat…
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add or remove commas, if necessary, until the sentence has correct punc…
Stuart the Minion loves playing the triangle in our school's marching band.
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drag and drop the terms to the correct places to complete the sentence.…
In geometry, a translation is a type of transformation that moves every point of a figure the same distance and in the same direction. When a figure undergoes a translation, it re…
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exercise #4: it is given that ∠a and ∠b are complementary. if the measu…
The measure of $\angle A$ is $25^{\circ}$ and the measure of $\angle B$ is $65^{\circ}$.
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question 14 of 23 what is the slope of the line shown below? (3, -2) (2…
A. 2
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directions: give each trig ratio as a fraction in simplest form. 1. dir…
\(\sin D=\frac{20}{29}\), \(\cos D=\frac{21}{29}\), \(\tan D=\frac{20}{21}\), \(\sin E=\frac{21}{29}\), \(\cos E=\frac{20}{29}\), \(\tan E=\frac{21}{20}\) \(x\approx47.0\) (for pr…
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value of x. 73° 128° x =
\(x = 55^{\circ}\)
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for each of the following quadrilaterals, select all the properties tha…
(a) All sides congruent, Two pairs of parallel sides (b) Two pairs of parallel sides (c) Four right angles, All sides congruent, Two pairs of parallel sides
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for problems 15 & 16, circle the graph that best represents the given f…
15. The graph of \(f(x)=x^{2}-2\) is a parabola opening upwards with vertex at \((0,-2)\), so it should match the graph that has a U - shape and crosses the y - axis at \(-2\). 16…
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for each of the following quadrilaterals, select all the properties tha…
(a) Two pairs of parallel sides (b) Only one pair of parallel sides (c) Two pairs of parallel sides, Four right angles
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give a pair of alternate exterior angles, a pair of alternate interior …
(a) Alternate exterior angles: $\angle2$ and $\angle7$ (b) Alternate interior angles: $\angle4$ and $\angle5$ (c) Corresponding angles: $\angle1$ and $\angle5$
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give a pair of alternate - exterior angles, a pair of corresponding ang…
(a) Alternate exterior angles: \(\angle1\) and \(\angle8\) (b) Corresponding angles: \(\angle1\) and \(\angle5\) (c) Alternate interior angles: \(\angle3\) and \(\angle6\)