Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the measures of the angles of a triangle are shown in the figure below.…
\(47\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 65\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 74\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 57\)
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given ( m parallel n ), find the value of ( x ).
\(x = 27\)
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2 select all of the true equations based on the figure. a. \\( \\cos(42…
B. \( \cos(48)=\frac{b}{c} \), C. \( \sin(42)=\frac{b}{c} \), E. \( \tan(42)=\frac{b}{a} \), F. \( \tan(48)=\frac{a}{b} \) ### Question 3
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given ( m parallel n ), find the value of ( x ).
\( x = 78 \)
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given $m\\parallel n$, find the value of x.
\( x = 58 \)
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unit 4 assessment review – trigonometric ratios, angles of elevation & …
C. \(36\sqrt{3}\) square units
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question 4 (hint: consecutive angles in a parallelogram are supplementa…
K. 152
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5. two side lengths of the right triangle shown below are given in inch…
C. $\sqrt{73}$
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all sides of the figure are equal. what is the perimeter of the figure?…
B. 24 inches
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17) there is a diagram with two parallel horizontal lines cut by a tran…
\(53^\circ\)
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right triangles test #1 review 26.) a radio tower is supported by a wir…
How high up? 25.0 yds How far away? 25.0 yds
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3. find the value of tan l rounded to the nearest hundredth, if necessa…
$0.53$
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salmon as shown in the diagram below, an island (i) is due north of a m…
Distance from boat house (H) to island (I): $\approx7.7$ miles Distance from island (I) to marina (M): $\approx6.2$ miles
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angle stv is a right angle. the measure of angle stw is 35°. the measur…
$55$
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7. use the tarski world figure below to answer the following questions:…
(a) The statement is false. Triangle $c$ (gray) has no square or circle of the same color, serving as a counterexample. (b) The statement is true. Square $d$ is in column 1, and a…
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angle fgh is a straight angle. the measure of angle fgj is 125°. the me…
$55$
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reinforce practice your skills in graphing points and finding distances…
i. Distance between E and F: $6.1$ ii. Distance between F and G: $6.5$ iii. Distance between E and H: $5.1$
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tofu stir fry what is the distance between the dog and the cat? directi…
Approximately 10.86 meters
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reinforce find the coordinates of point j, if its distance from point m…
The coordinates of point J are $(-1, -1)$ and $(7, -1)$
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look carefully at the key at right. which of the keys below could you c…
### Spinning (Rotating) the Original Key: A. Option a (the key with ring at the top, teeth at the bottom left, which is a 180 - degree rotation of the original key) ### Flipping (…
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5. solve the inequality and graph the solution. $2 < \\frac{m}{-2} + 1$…
The solution to the inequality is \( m < -2 \). To graph this, plot an open circle at \( -2 \) on the number line and draw an arrow pointing to the left (towards more negative num…
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solve for ( x ). round to the nearest tenth, if necessary. (there is a …
\( 21.9 \)
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solve for ( x ). round to the nearest tenth, if necessary.
\(x\approx8.0\)
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solve for x. round to the nearest tenth of a degree, if necessary.
\( 30.0^{\circ} \) (rounded to the nearest tenth of a degree)
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patterns many native american rugs and blankets incorporate parallelogr…
\( x = 2 \) \( y = 5 \)
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mozzarella sticks directions: complete the first task, and then complet…
- Side opposite angle $u$: 2 - Side adjacent to angle $u$ (opposite angle $v$): $\sqrt{21}$ - Hypotenuse (side labeled $u$): 5
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from a hot - air balloon, lillian measures a $38^{circ}$ angle of depre…
549.0
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an electrician leans an extension ladder against the outside wall of a …
32.8
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write summarize the properties of the sides, angles, and diagonals of a…
- Opposite sides and angles: congruent - Consecutive angles: supplementary (or "add up to \(180^\circ\)") - Diagonals: bisect
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from the observation deck of a skyscraper, sophia measures a $45^{circ}…
870.00
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fawzia is flying a kite, holding her hands a distance of 3.75 feet abov…
63.7
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5. solve the inequality and graph the solution. $2 < \\frac{m}{-4} + 1$…
The solution to the inequality is \( m < - 2 \). To graph this, we plot an open circle at \( - 2 \) (since the inequality is strict, \( m eq - 2 \)) and draw an arrow to the left…
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soup directions: define the following vocabulary 1. hypotenuse: 1. oppo…
## Soup Section: 1. Hypotenuse: The longest side of a right triangle, opposite the right angle. 1. Opposite side: The side across from a given acute angle in a right triangle. 1. …
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mozzarella sticks directions: complete the first task, and then complet…
### Labeled Triangle Sides: - Side opposite angle $u$: $2$ - Side opposite angle $v$: $\sqrt{21}$ - Hypotenuse (longest side): $5$
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\) (and the ellipse is drawn passing thr…
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the ______ refers to the shipment of african slaves across the atlantic…
C. Middle Passage
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the trajectory of the water from fountain a is represented by a functio…
Fountain A has a vertex of $\boldsymbol{(5,7)}$ while Fountain B has a vertex of $\boldsymbol{(-5,9)}$, so the water from Fountain $\boldsymbol{B}$ reaches a greater height.
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the conversion of degrees celsius to degrees fahrenheit can be represen…
- **Slope (\(m\))**: \(\frac{9}{5}\) (or \(1.8\)) – this means that for each 1 - degree increase in Celsius, the temperature in Fahrenheit increases by \(\frac{9}{5}\) (or \(1.8\)…
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salmon as shown in the diagram below, an island (i) is due north of a m…
1. Distance from H to I: 7.7 miles 2. Distance from I to M: 9.0 miles
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graph the line represented by the equation 4x - 6y = 12 select two poin…
- For the first sub - question: The two points are \((3,0)\) (x - intercept) and \((0,-2)\) (y - intercept). Plot these points and draw the line. - For the second sub - question: …
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20. on a triangle, $\\angle a$ is twice as large as $\\angle b$, and $\…
$m\angle A = 104^\circ$ $m\angle B = 52^\circ$ $m\angle C = 24^\circ$
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19. find the slope of the line that passes through (-4, 4) and (11, 7)
$\frac{1}{5}$
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what are the length and width of the rectangle? rectangle: length = \\s…
length = 8 units, width = 4 units
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find the following measurements. parallelogram; base = \\boxed{} units …
base = 6 units, height = 4 units
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Question was provided via image upload.
1. $\boldsymbol{\triangle RNA \cong \triangle TAW}$, HL 2. $\boldsymbol{\triangle KTE \cong \triangle MET}$, AAS 3. not enough information 4. $\boldsymbol{\triangle VOB \cong \tri…
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in the square below, $m\\angle qhe = (-6x - 24) ^\\circ$. find $x$.
\( x = -11.5 \)
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the figure shown is a rhombus. segment $ce$ has length 56, and $ab$ has…
\( 90 \)
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b practising 5. these two models show the same pattern in two different…
- **Stays the same**: The top - row block count (3), the central empty - space position, and the overall "notched" shape structure. - **Changes**: The number of blocks in each ver…
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translate the sentence into an equation or formula. the surface area sa…
$SA = 2(wh + lw + lh)$
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find cd. write your answer as an integer or as a decimal rounded to the…
\( 5.0 \)
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translate the sentence into an equation or formula. the perimeter p of …
$P = 2l + 2w$
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translate the sentence into an equation or formula. the perimeter p of …
$P = a + b + c$
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find rs. write your answer as an integer or as a decimal rounded to the…
\( 5.0 \)
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match each three - dimensional figure with its net.
- Rectangular prism (first 3D figure) $\longleftrightarrow$ Middle right net (rectangle - based net). - Square pyramid (second 3D figure) $\longleftrightarrow$ Top right net (quad…
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which three - dimensional figure is represented by the net shown? recta…
Triangular prism
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match each three - dimensional figure with its net
- The first 3 - D figure (tetrahedron) is matched with the middle - right net (the one with 4 triangles). - The second 3 - D figure (pentagonal pyramid) is matched with the top - …
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which figure is a rectangular pyramid?
The top - left figure (the one with a rectangular base and triangular lateral faces meeting at an apex) is a rectangular pyramid.
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40 find the area of the number 1. 40 area = \\square in.^2
43
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justin cut out rectangles and a triangle and put them together to form …
10
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find the area of the small rectangle. area of small rectangle = \\squar…
20
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5. triangle abc has two of its vertices located at (-4,-1) and (3,-3). …
The third vertex is \( (-2,5) \) ### PART B
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once you’ve covered the panel with fabric, you’ll outline the shape wit…
22 ft.
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in this section, you’ll solve problems involving surface area, perimete…
24 square feet
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the two polygons below are similar. complete the similarity statement. …
1. $UVWX \sim CBED$ 2. $\frac{1}{3}$
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4. describe a sequence of transformations that shows that $\\triangle n…
A sequence of transformations is: 1. Rotate $\triangle NOP$ 90° clockwise about the origin (using the rule $(x,y)\to(y,-x)$). 2. Dilate the rotated triangle by a scale factor of 2…
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in the diagram, the measure of angle 3 is 105°. which angle must also m…
Angle 1, Angle 5, and Angle 7 must also measure $105^\circ$.
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in the diagram, which pair of angles are vertical angles? ∠1 and ∠2 ∠4 …
$\angle6$ and $\angle8$
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the area of the trapezoid is 63 square feet. what is the trapezoids hei…
9
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which of the following is the rule for reflecting a figure over the y -…
$\boldsymbol{(x,y) ightarrow (-x,y)}$ (the orange option)
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which of the following is the proper name for the ray? ray ab ray ba ra…
A. Ray AB
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find the circumference using 3.14 for pi and rounding to the nearest hu…
To find the circumference, we need the radius or diameter of the circle. The formula for the circumference of a circle is \( C = \pi d \) (where \( d \) is the diameter) or \( C =…
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what is the area of the trapezoid? 12 cm, 17 cm, 15 cm, 17 cm, 28 cm, s…
300
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which of the following represents the exterior angle theorem for the tr…
B. $d = a + c$
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if $\\angle 1 \\cong \\angle 2 \\cong \\angle 3$, $\\angle 4 \\cong \\a…
\( 60 \)
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what is the union of two noncollinear rays? line angle segment ray
B. angle
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what is the area of the trapezoid? 32 km 18 km 15 km 18 km square kilom…
375
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what angle pair is pictured? linear pair vertical angles adjacent congr…
B. Vertical Angles
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what is it called when you do 2 or more transformations on one figure, …
B. Composition of Transformations
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what is the area of the trapezoid? 7 m 7 m 9 m 11 m square meters
63
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what is the area of the trapezoid? 2 m 5 m 4 m 5 m square meters
The area of the trapezoid is \(\boldsymbol{14}\) square meters.
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if 2 angles sum to 180 degrees, the angles are _______. a linear pair c…
C. supplementary
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what is the area of the trapezoid? 4 mm 7 mm 10 mm 12 mm square millime…
56
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refer to the figure at the right. what is ( mangle p )? ( mangle p = sq…
\(94\)
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each exterior angle in a regular polygon has a measure of 18. how many …
C. 20; 3,240
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the sum of the measures of the interior angles of a convex polygon is ∠…
13
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what is ( mangle b )? options: a. 51 b. 129 c. 134 d. 141
D. 141
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what is the area of the trapezoid? 2 km 6 km 7 km 6 km square kilometers
24
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what is the area of the trapezoid? 3 mi. 5 mi. 7 mi. 9 mi. square miles…
30
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a. draw an inscribed right angle in circle t. label each point where th…
(a): \( \angle ADE \) (or other valid inscribed right - angle name based on the circle's points. If we assume points \( A \), \( B \), \( C \) with \( \angle ABC = 90^\circ \), it…
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1) drag and drop the correct words to complete the sentences. a ______ …
s: 1. A \(\boldsymbol{\text{parabola}}\) is the locus of points in a plane that are equidistant from a line and a point not on the line. 2. The \(\boldsymbol{\text{focus}}\) of a …
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part 1 of 4 use the graph at the right. find the vertices of the image …
To solve the problem of finding the vertices of the image of \( QRTW \) after a dilation with center \( (0,0) \) and scale factor \( 9 \), we first need to identify the coordinate…
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find the value of ( x ), ( y ), and ( z ) in the rhombus below. answer …
\(x = -79\), \(y = -18\), \(z = -26\)
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find the value of x, y, and z in the rhombus below. (-x-8)° 107° (3y-1)…
\(x=-81\), \(y = 36\), \(z=-20\)
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prove $\\angle j \\cong \\angle v$ by filling out the flowchart below. …
The completed flowchart statements and reasons are: 1. **Type of Statement**: $\boldsymbol{\angle H \cong \angle X}$ **Reason**: All right angles are congruent 2. **Type of Statem…
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part 9: trapezoid abcd is an isosceles trapezoid with bases ab and cd, …
28. $EF = 36$ 29. $x = 20$ 30. $EF = 7$ 31. Quadrilateral PQRS is a square. All four sides are congruent (length $3\sqrt{5}$), and adjacent sides are perpendicular (product of slo…
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9) a right triangle with one leg 7 and the other leg 10 (the right angl…
The area of the right - triangle is 35.
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practice for exercises 1–5, use the figure and the description to answe…
∠1 ### Question 2: Which angle corresponds to ∠8?