Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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diameter: 8 yd circumference:
$8\pi$ yards (or approximately 25.12 yards)
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question given: abcd is a parallelogram, $\\angle gec \\cong \\angle hf…
The reason for \(BC \parallel AD\) is "Opposite sides of a parallelogram are parallel".
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13) graph the following equation. x = 7
A vertical straight line passing through the point $(7, 0)$ on the $x$-axis, extending infinitely upwards and downwards (covering all $y$-values for $x=7$).
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structure a similarity transformation maps jklm to its image pqrs. find…
1. The coordinates of point $S$ are $(6, -2)$ 2. $(x, y)\to(-2x, -2y)$
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question given: abcd is a parallelogram, ∠gec ≅ ∠hfa and \\(\\overline{…
The reason for \( \overline{AF} \cong \overline{CE} \) is the **Addition Property of Congruence** (or "If two congruent segments are added to two other congruent segments, the res…
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what is the area of this figure? 5 cm 8 cm 3 cm 15 cm 7 cm 8 cm square …
\(96\)
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radius: 12 in circumference:
$24\pi$ inches (or approximately 75.36 inches)
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given: abcd is a parallelogram and e is the midpoint of \\(\\overline{b…
The reason for \( \angle C \cong \angle EBF \) is "Alternate interior angles are congruent (when two parallel lines are cut by a transversal)".
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given: abcd is a parallelogram and e is the midpoint of \\(\\overline{b…
The reason for \(DC \parallel AB\) is "Opposite sides of a parallelogram are parallel".
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diameter: circumference: 50.24 ft
16 ft
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l = 8.2 cm w = 4.9 cm area: perimeter:
Area: $40.18 \text{ cm}^2$ Perimeter: $26.2 \text{ cm}$
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s = 6.1 cm area: perimeter:
Area: $37.21$ cm² Perimeter: $24.4$ cm
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complete the statement of similarity based on the figures shown. quadri…
# Explanation: ## Step1: Identify the similar figure Looking at the coordinates, the blue quadrilateral (B'D'E'F') or the larger red one (B''D''E''F'')? Wait, let's check the scal…
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determine whether trapezoids defg and lmnp with the given vertices are …
no; The scale factor from $\overline{DG}$ to $\overline{LP}$ is 2, but the scale factor from $\overline{FG}$ to $\overline{NP}$ is $\frac{2}{3}$.
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there is a square with side length labeled as s. below the square, it i…
Area: $\boldsymbol{39.69}$ square centimeters Perimeter: $\boldsymbol{25.2}$ centimeters
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5 select the correct shapes. select all of the shapes that have at leas…
The orange rectangle and the green parallelogram (the second shape in the top row and the fourth shape in the bottom row) are the shapes with at least one pair of parallel sides.
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circle a has radius 1.25 cm and circle b has radius 3.75 cm. complete t…
Scale factor: $3$; Ratio of circumferences: $3$; Ratio of diameters: $3$; The two circles are similar.
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a. fill in the blanks directions: read each sentence and choose the wor…
1. consequence 2. hydroplane 3. hydrant 4. dehydrated 5. fondness 6. ambivalence 7. hydrate 8. hydraulic 9. maintenance 10. consciousness --- # Part B: True or False
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determine whether $\\triangle ghi$ and $\\triangle jkl$ with the given …
no; The scale factor from $\overline{HI}$ to $\overline{JL}$ is $\frac{2}{3}$, but the scale factor from $\overline{GH}$ to $\overline{KL}$ is $\frac{5}{6}$
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2 = (the triangle has a base of 6 ft and a height of 5 ft) area = (ther…
$15$ square feet
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given: abcd is a parallelogram and e is the midpoint of \\(\\overline{b…
Vertical angles are congruent
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4 which shape has an obtuse angle? shape a shape b shape c shape d a. s…
C. Shape B
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circle 7 cm radius = ______ diameter = ______ 7
radius = $7\ \text{cm}$ diameter = $14\ \text{cm}$
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given: abcd is a parallelogram and e is the midpoint of \\(\\overline{b…
Definition of Midpoint (A midpoint of a segment divides the segment into two congruent segments, so since \( E \) is the midpoint of \( \overline{BC} \), \( \overline{BE} \cong \o…
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3 which shape has parallel sides and perpendicular sides? shape a shape…
C. Shape C
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radius = diameter = 26
radius = 13 km diameter = 26 km
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radius = 15 diameter = 30
radius = 15 mm diameter = 30 mm
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a park ranger is trying to find the distance across a large pond in a n…
A = 1.15 m, B = 1.45 m, c = 13.5 m Wait, but the user's diagram has a segment labeled 1.35 m. So the dilated distance between the two points is 1.35 m, so the actual distance (c) …
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ready topic: finding the trigonometric ratios in a right triangle use t…
s: 1. \(\sin P=\frac{12}{13}\), \(\cos P=\frac{5}{13}\), \(\tan P=\frac{12}{5}\) 2. \(\sin\theta=\frac{7}{41}\), \(\cos\theta=\frac{40}{41}\), \(\tan\theta=\frac{7}{40}\) 3. \(\si…
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1 select the correct shape. which shape has a right angle?
The yellow - colored trapezoid - like shape (the first one in the top - left among the four shapes)
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radius = 5.5 diameter = 11 (there is a circle with a radius line labele…
radius = $11\ \text{m}$ diameter = $22\ \text{m}$
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a right triangle with legs 3.5 yd and 6.8 yd. find the area. area =
$11.9$ square yards
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6. complete the table. explain or show your reasoning. | object | radiu…
| object | radius | circumference | |--------------|--------------|---------------------| | clock | 7.5 cm | $15\pi$ (≈47.1 cm) | | windmill | 210 ft | $420\pi$ (≈1318.8 ft)| | bu…
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s ≠ 0 or 1; s = 1; s = -1; |s| > 1; s = 0; s < 0; 0 < |s| < 1. the imag…
To solve this, we analyze each statement based on the properties of dilation (scale factor \( s \)): ### 1. "The image and pre - image coincide (are on top of one another) and are…
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match each transformation to its scale factor description. in each case…
- A (The image is an enlargement of the pre - image) : \(|s|>1\) - B (The image is a reduction of the pre - image) : \(0 < |s|<1\) - C (The image is the same as the pre - image ro…
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a median of a triangle is a line segment with one endpoint at a vertex …
The median from \( A \) is constructed by first finding the midpoint \( M \) of \( BC \) (via perpendicular bisector construction) and then drawing segment \( AM \). Visually, it …
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an altitude of a triangle is a line segment with one endpoint at a vert…
To construct the altitude from vertex \( A \) to side \( BC \) in \( \triangle ABC \): 1. Identify side \( BC \) as the side opposite vertex \( A \). 2. Use the perpendicular cons…
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in the figure, $\\triangle xyz \\cong \\triangle mnl$. find $xy$.
8
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which angles are supplementary to each other? image of angle diagram wi…
$\angle3$ and $\angle8$
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find ( mangle 1 ). (there are two triangles, triangle ( abc ) with ( an…
\(55^\circ\)
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what is the value of b? triangle with angles: 30b - 59°, 35°, and an ex…
$4.3$
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what is the value of u? 14u+22° 9u+33° 32° write your answer as an inte…
$u = 8.6$
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20. find the perimeter and area of this triangle. dimensions are in inc…
Perimeter: 30 inches, Area: 30 square inches
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what is the value of y? triangle with angles 39°, 3y - 34°, and an exte…
$21.5$
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complete the puzzle to show the sequence of locations at which you plac…
The sequence of compass point locations (red points) is: Step 1: Intersection of transversal and line a (lower red point) Step 2: Intersection of transversal and line b (middle re…
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what is the value of b? (there is a triangle with an exterior angle and…
$24$
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19. find the perimeter and area of this parallelogram. dimensions are i…
Perimeter: \( 44 \) inches, Area: \( 104 \) square inches.
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what is the value of v? there is a triangle with two angles labeled as …
$105^\circ$
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what is the value of c? there is a triangle with angles labeled as $c +…
$73$
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what is the value of v? (v - 11)° (v + 4)° (v + 41)° v = ° submit
$48$
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as a result of the construction shown, △ oae a x △ △ pjd by the sss a x…
The triangle \(\triangle OAE\cong\triangle PJD\) by the SSS triangle congruence postulate. So the first blank: \(\cong\), second blank: SSS.
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what is the value of ( b )? (there is a triangle diagram with an exteri…
$68$
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what is the value of $p$? there is a triangle and an exterior angle. on…
$87$
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scratch board unit vocab matching and word scramble use the word bank b…
1. Stylus is a hard-pointed pen-shaped instrument used for making marks or scratches into or onto a surface. 2. A Plate is often a thin, flat piece of metal or stable material use…
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what is the value of c? there is a triangle in the diagram, with one ex…
$45$
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what is $m\\angle 1$? triangle with angle 1 at top, 69° at bottom right…
$54$
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what is $m\\angle 1$? (there is a triangle with angles 84° and 47°, and…
$131$
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what is $m\\angle 1$? diagram of a triangle with an exterior angle of 1…
$35$
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what is $m\\angle 1$? triangle with angles 101° and 31°, and angle 1 ad…
$132^\circ$
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what is m∠1? (there is a triangle with angles 34°, 110° and the third a…
$144$
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what is $m\\angle 1$? triangle with angle 34° at the top, angle 1 at th…
$111^\circ$
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what is $m\\angle 1$? (there is a triangle with angles 35° and 67°, and…
$102^\circ$
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complete the puzzle to show the order in which the compass arcs must be…
The order of the compass arcs from arc 1 to arc 4 is: Arc 1: The arc at \(O\) (the bottom arc with the blue box at the bottom) Arc 2: The arc at \(E\) (the left arc with the blue …
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what is $m\\angle 1$? image of a triangle with angles 81° and 62°, and …
$143$
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what is $m\\angle 1$? (there is a triangle with angles 53° and 75°, and…
$128$
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a 30°-60°-90° triangles longer leg is 57 inches long. how long is the s…
\(19\sqrt{3}\)
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the diagram shows a triangle. triangle with angles labeled: one angle i…
$x = 47^\circ$
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the diagram shows a triangle. triangle with angles 42°, 42°, and 14p + …
$p = 6$
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find the length of the third side. if necessary, round to the nearest t…
The length of the third side is approximately \(13.4\).
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the diagram shows a triangle. what is the value of ( u )? ( u = square^…
$98^\circ$
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the longer leg of a 30°-60°-90° triangle has a length of 45 meters. wha…
\(30\sqrt{3}\)
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the diagram shows a triangle. what is the value of ( u )?
$u=2$
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the diagram shows a triangle. what is the value of x? x = \\boxed{\\cir…
$16$
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the shorter leg of a 30°-60°-90° triangle has a length of $7\\sqrt{2}$ …
\(14\sqrt{2}\)
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the diagram shows a triangle. what is the value of b? b = \\square^\\ci…
$b = \frac{19}{18}$ or approximately $1.06$
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the diagram shows a triangle. what is the value of ( v )? ( v = square^…
$39^\circ$
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the diagram shows a triangle. triangle with angles ( b - 17^circ ), ( 2…
$62$
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because the slopes of $overline{np}$ and $\boxed{}$ are both $\boxed{}$…
To solve this problem, we analyze the properties of a parallelogram (opposite sides are parallel) and use the given slope options and side labels. ### First Statement (Slopes of \…
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the diagram shows a triangle. triangle image with angles 90°, 15s, and …
$s = 2$
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the diagram shows a triangle. diagram of a right triangle with angles 9…
$s = 2$
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the diagram shows a triangle. what is the value of w? w = \\boxed{}^\\c…
$119^\circ$
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the diagram shows a triangle. what is the value of ( c )? ( c = square^…
$82$
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the diagram shows a triangle. what is the value of s? s = \\square^\\ci…
$6^\circ$
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the diagram shows a triangle. what is the value of ( b )? ( b = square^…
$b = 28$
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the diagram shows a triangle. what is the value of ( p )? ( p = square^…
$27^\circ$
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find z. right triangle with right angle, two 45° angles, hypotenuse 14√…
14
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the diagram shows a triangle. what is the value of t? t = \\boxed{\\spa…
$t = 5^\circ$
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the diagram shows a triangle. (an image of a triangle with angles 3v, 8…
$14$
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find c. right triangle with angles 30°, 60°, 90°, hypotenuse? wait, no,…
\(14\)
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the diagram shows a triangle. what is the value of ( u )? ( u = square^…
$u = 9$
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graph the quadrilateral with the given vertices in the coordinate plane…
The quadrilateral with vertices \( N(-5, 0) \), \( P(0, 4) \), \( Q(3, 0) \), \( R(-2, -4) \) is graphed by plotting the points and connecting them in order. (The actual graph is …
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the diagram shows a triangle. what is the value of u? u = \\square^\\ci…
$u = 9$
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the diagram shows a triangle. one angle is 4u, one is 84°, one is 60°. …
$u = 9$°
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the diagram shows a triangle. what is the value of ( b )? ( b = square^…
$12$
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the diagram shows a triangle. what is the value of p? p = \\boxed{\\cir…
$p = 3^\circ$
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the diagram shows a triangle. what is the value of x? x = \\square^\\ci…
$3$
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find m. triangle with right angle, two 45° angles, hypotenuse 18√6 cm, …
\( 18\sqrt{3} \)
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what is the value of this expression? (2 - 3)(4 - 5) enter your answer …
1
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find z. image of a right triangle with a right angle, one acute angle 4…
\( 16\sqrt{2} \)
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the diagram shows a triangle. what is the value of a? $a = \\square^\\c…
$a = 27^\circ$