Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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given: k is the midpoint of jl, m is the midpoint of ln, jk = mn prove:…
1. Given 2. Definition of Midpoint 3. Given 4. Substitution Property (from Steps 2 and 3) 5. Transitive Property of Equality 6. Symmetric Property of Equality 7. Definition of Con…
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a, c, b are vertices of a triangle, a, c, b are vertices of another tri…
B. rotation 90° counterclockwise about the origin
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how many 1 ½ by 3 pieces can you cut from a 3 × 9 sheet of plywood? a. …
D. 6
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how many cubes will fit in this shape? 5 units high 3 units long 4 unit…
60
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click the buttons to match the english words with their spanish transla…
For "the rain", the correct match is the circle under "la lluvia" (the third column in the "the rain" row). The other correct matches are as follows: - "the snow": la nieve (fourt…
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find the volume of this rectangular prism. height = 12 width = 6 length…
1440
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*click twice to draw a line. click a segment to erase it.* answer leg 1…
Leg 1: \( 9 \), Leg 2: \( 3 \), Hypotenuse: \( 3\sqrt{10} \) (or approximately \( 9.49 \))
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click twice to draw a line. click a segment to erase it.
Draw a line between the point (0, 9) (on the y - axis) and the point (8, 9) (near the purple cursor) by clicking on each point once. The line will be horizontal (y = 9) connecting…
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find the volume of this cube. the length of one side is 4in.
64 cubic inches
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question graph the following features: - y - intercept = 8 - slope = $-…
To graph the line with \( y \)-intercept \( = 8 \) and slope \( = -\frac{3}{4} \): ## Step 1: Plot the \( y \)-intercept The \( y \)-intercept is the point where the line crosses …
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how long is the minor axis for the ellipse shown below?\\(\frac{(x + 4)…
\(8\)
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net of a cube what is the surface area of this cube. the length of one …
The surface area of the cube is 96 square inches.
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are these scalene triangles similar? (image of two triangles with verti…
no
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what is the length of the major axis of the ellipse shown below?\\(\\fr…
12
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what are the coordinates of the center of the ellipse shown below?\\(\\…
C. \((7,-3)\)
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select the correct answer. how does the figure help verify the triangle…
A. by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side
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which rule explains why these scalene triangles are similar? triangles …
none of the above; the triangles cannot be proven similar
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what is the surface area of this shap type your answer in the boxes
336
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polygon abcd reflects about line mn to make polygon efgh. what is the l…
\(2\)
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which rule explains why these scalene triangles are similar? triangles …
none of the above; the triangles cannot be proven similar
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what is the surface area of this shape? type your answer in the boxes
262 square feet
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select the correct answer. a building has a triangular rooftop terrace …
A. \(\overline{AC}\)
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a board leaning against a wall forms a 65° angle as shown in the figure…
A. \(25^{\circ}\)
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which rule explains why these triangles are similar? triangles rqs and …
AA
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click the buttons to match the spanish sentences with their english tra…
- For "It is cloudy.": Click the circle under "Está nublado." - For "It is raining.": Click the circle under "Está lloviendo." - For "It is snowing.": Click the circle under "Está…
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what is the measure of the smallest angle in the right triangle below? …
\(34^{\circ}\)
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in the triangle shown below, what is x, the measure of the third angle?…
\(45^{\circ}\)
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what is the measure of∠1 in this isosceles right triangle? 30° 45° 60° …
\(45^{\circ}\)
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ngular prism rectangular prism triangular pyramid rectangular pyramid c…
The image (orange solid) paired with the "rectangular prism" text is the correct match for a rectangular prism, as a rectangular prism has rectangular faces and a box - like struc…
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diagonal \\(\\overline{pr}\\) divides rectangle \\(pqrs\\) into two con…
\(8\sqrt{3}\) (the third option)
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se the power of a power property to determine if the following expressi…
The first drop - down: are. The second box: \(3\). The third box: \(\frac{12}{5}\). The fourth box: \(4\). The fifth box: \(\frac{12}{5}\). The second drop - down: their exponents…
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hugh drew two similar triangles. (image of two right triangles, first w…
0.9
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triangle abc is similar to triangle def with the side lengths of triang…
the angles
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the two triangles shown in the figure are similar. which statement is n…
\(m + n + s = 180^{\circ}\)
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consider the triangles. if $\\triangle uvw$ is similar to $\\triangle t…
\(\cos T=\frac{12}{13}\), \(\sin T=\frac{5}{13}\), \(\tan S=\frac{5}{12}\)
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the two triangles shown in the diagram share a side. which criterion fo…
Side - Side - Side
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consider the two triangles kpg and jnt, as shown. if a sequence of rigi…
Calculate the measure of \(\angle K\), and establish Angle - Side - Angle congruence.
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click the buttons to match the english phrases to their spanish verbs. …
- "to have" : Select the circle under "tener" - "to have to" : Select the circle under "tener que" - "to feel like doing" : Select the circle under "tener ganas de" - "there is / …
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4) $\\triangle wxy$ is an isosceles triangle with $\\overline{wx} \\con…
\(x = 23\), \(WX = 95\), \(WY = 95\), \(XY = 108\)
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what is the total area of this shape type your answer in the boxes
\( 50 \, \text{cm}^2 \)
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2. find the length of the indicated side in each triangle, to the neare…
First triangle: \(x\approx22.6\) cm; Second triangle: \(s\approx8.2\) km
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consider the two triangles shown in the figure. which statement must be…
The two triangles are both similar and congruent.
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what is the area of this shape? height = 24 base = 32 type your answer …
384
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consider the two triangles. based on the two triangles’ markings, which…
The Angle - Angle - Side congruency postulate proves the triangles are congruent.
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two triangles have two pairs of corresponding congruent angles. which s…
The triangles must be similar.
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identify the domain and range: 8. domain: range: reminder: include comm…
Domain: {-4, -3, -1, 0, 1, 2, 4}; Range: {-4, -2, -1, 1, 2, 4, 5}
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graph a line that is perpendicular to the given line. determine the slo…
The slope of the given line is \(1\), and the slope of the perpendicular line is \(- 1\). To draw the perpendicular line, use the slope \(-1\) and plot points accordingly (e.g., t…
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write the coordinates of the vertices after a translation 13 units left…
\( D'(-8, - 10) \) \( E'(-5, - 9) \) \( F'(-8, - 2) \) \( G'(-10, - 9) \)
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what is the area of the triangle below? triangle image with legs 3 mete…
C. 6 square m
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consider the four triangles. image of four triangles with angle measure…
\(\triangle LMN\) and \(\triangle PQR\) (i.e., the option \(\triangle LMN\) and \(\triangle PQR\))
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what is the area of this shape? type your answer in the boxes
72 square centimeters
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jalecia says that two triangles are congruent if their interior angles …
No. Congruent triangles should also have corresponding congruent side lengths.
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consider $\\triangle jkl$ and $\\triangle mno$. two right triangles, $\…
\(\angle K\cong\angle M\)
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what is the area of this shape? type your answer in the boxes
72 square centimeters (or $72\ cm^2$)
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each region below is being rotated about the line l. for each region, i…
# Explanation: ## Part (a) ### Step 1: Analyze the Region The region in (a) is a trapezoid (a quadrilateral with one pair of parallel sides) rotated about the vertical line \( l \…
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write the coordinates of the vertices after a translation 8 units right…
\( S'(4, -8) \) \( T'(8, -7) \) \( U'(4, -6) \) \( V'(0, -7) \)
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what is the area of a circular region whose diameter is 6 centimeters? …
D. \(9\pi\) square cm
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write the coordinates of the vertices after a translation 1 unit up. r(…
\( R'(1, - 6) \) \( S'(2, - 6) \) \( T'(0, - 3) \)
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equation of the line graphed below in simplest form.
\( y = 4 \)
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find each length below. (a) in the figure below, two chords intersect i…
\( HK = 70 \) ### Part (b)
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write the coordinates of the vertices after a translation 9 units left.…
\( A'(-9, 2) \) \( B'(1, 2) \) \( C'(1, 9) \) \( D'(-9, 9) \)
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consider a triangle abc like the one below. suppose that a = 22, b = 64…
\( A\approx9.9^{\circ} \), \( B = 150.0^{\circ} \), \( C\approx20.1^{\circ} \)
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Question was provided via image upload.
\( (6, 5) \)
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suppose that p and q are points on the number line. if pq = 10 and p li…
-2, 18
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express \\( \\cos x \\) as a fraction in simplest terms. (image of righ…
$\frac{3}{5}$
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what is the area of a circle with given measure a radius of 4cm a=π×4²=…
- For radius \( 4\space\text{cm} \): \( \boldsymbol{16\pi\space\text{cm}^2} \) (or \( \boldsymbol{50.24\space\text{cm}^2} \)) - For diameter \( 22\space\text{cm} \): \( \boldsymbo…
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graph the parabola. $y = \\frac{1}{4}x^2$ plot five points on the parab…
Five points: $(0,0)$, $(-2,1)$, $(-4,4)$, $(2,1)$, $(4,4)$ (Plot these points and draw the parabola.)
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this image has rotational symmetry. what is the smallest number of degr…
\( 60^\circ \)
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find the value of sin r rounded to the nearest hundredth, if necessary.…
\( 0.38 \)
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this image has rotational symmetry. what is the smallest number of degr…
$45^{\circ}$
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match the formulas for area to the correct shapes: area of a rectangle …
- Area of a square: \(A = s \cdot s\) - Area of a rectangle: \(A = l \cdot w\) - Area of a triangle: \(A = b \cdot h \div 2\) - Area of a parallelogram: \(A = b \cdot h\)
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2) △qrs is an equilateral triangle. if qr is seven less than twice x, r…
\(x = 18\), and the measure of each side is \(29\)
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express cos u as a fraction in simplest terms. (image of right triangle…
$\frac{2}{3}$
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question solve for x and graph the solution on the number line below. t…
Inequality Notation: \( x \geq -4 \) Number Line: Closed circle at -4, arrow pointing right.
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6m 8m 5. find the area of the white circle 6. find the area of the shad…
The area of the white circle is \( 36\pi \, \text{m}^2 \) (or approximately \( 113.04 \, \text{m}^2 \)). ### Question 6:
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use the polygon to the right to complete parts a and b (a) name the pol…
### (a) Brief Explanations: A polygon's name is based on its number of sides. A pentagon has 5 sides, dodecagon 12, octagon 8, and trapezoid (a quadrilateral) has 4 sides. The fig…
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what is the perimeter of the rectangle? 14 cm 9 cm a 126 cm b 136 cm c …
D. \(46\) cm
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fill in the blank so that the resulting statement is true. the sum of t…
\(180^{\circ}\) (or \(\pi\) radians, but \(180^{\circ}\) is the most common answer in the context of this problem)
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graph this line using the slope and y-intercept: y = -9x + 7 click to s…
Plot the points \((0,7)\) and \((1,-2)\) and draw a straight line through them.
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select the correct choice that completes the sentence below. two polygo…
proportion (or a constant ratio)
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the sides of a triangle are 27, 17, and 13. use the pythagorean theorem…
is greater than
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the sides of a triangle are 27, 17, and 13. use the pythagorean theorem…
obtuse
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fill in the blank with an appropriate word, phrase, or symbol(s). a clo…
polygon
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fill in the blank with an appropriate word, phrase, or symbol(s). a clo…
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the sides of a triangle are 60, 75, and 90. use the pythagorean theorem…
is greater than
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fill in the blank with an appropriate word. an angle whose measure is g…
obtuse
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the sides of a triangle are 42, 15, and 39. use the pythagorean theorem…
obtuse
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which of the following sets of numbers could represent the three sides …
\(\{6, 8, 10\}\)
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lesson goal: the students will use sine, cosine, and tangent ratios to …
(for part b, assuming area from a is \(A\)): The number of cans is \(\lceil\frac{A}{150} ceil\), where \(A\) is the area from part (a). For example, if \(A = 160\) square feet, th…
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fill in the blank with an appropriate word. two angles, the sum of whos…
supplementary
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question which of the following sets of numbers could represent the thr…
{40, 75, 85}
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select the correct choice that completes the sentence below. two angles…
complementary
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fill in the blank with an appropriate word. the union of two rays with …
angle
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fill in the blank with an appropriate word. two lines in the same plane…
parallel
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find the length of the third side. if necessary, write in simplest radi…
\(2\)
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find the length of the third side. if necessary, write in simplest radi…
8
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which two answers represent the fraction model shown? answer choices: a…
C. three and two - thirds, E. \(11/3\)
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state the coordinates of the point.
(3, 6)
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state the coordinates of the point.
(-2, - 8)
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select the equation used when finding the area of the complex shape. an…
D. \((5\times7)+(9\times13)\)