Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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2. this diagram is a straightedge and compass construction of a square …
To ensure that the side AC of the square has the same length as side AB. Since in a square all sides are equal, and the radius of the circle centered at A passing through B (which…
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rational vs. irrational numbers a rational number can be made by dividi…
Rational numbers: $\frac{3}{4},-9.5,\sqrt{36},1000,\frac{1}{12},2.\overline{72},4.6,\frac{2}{5},-7\frac{3}{10},\sqrt{9},-\frac{16}{5},\frac{14}{4},\sqrt{25},\frac{1}{50},-\frac{4}…
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find the image based on the graph of the pre - image. dilation of 2.5 a…
\((2.5,5)\)
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of $D$ after dilation are $(-8,-4)$, the coordinates of $E$ after dilation are $(8,-4)$ and the coordinates of $F$ after dilation are $(-8,4)$.
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of the vertices after dilation are \(O(0,0)\), \(Q(2,-2)\), \(R(2,1)\)
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find the distance between the pair of points (1,1) and (8,8). if necess…
$7\sqrt{2}\approx9.90$ units
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find the distance between the pair of points. if necessary, express ans…
15
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of the vertices are \(D'(-10,-10)\), \(E'(-10,0)\), \(F'(10,5)\), \(G'(10,-10)\)
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write the coordinates of the vertices after a dilation with a scale fac…
D'(-15,-10), E'(0,-10), F'(5,-10), G'(-15,-10)
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find the distance between the pair of points. if necessary, express ans…
The distance between the points is 10 units. So the correct choice is: A. The distance between the points is 10 units.
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write the coordinates of the vertices after a dilation with a scale fac…
$R'(-8,8)$, $S'(-4,4)$, $T'(-2,-6)$, $Q'(-8,-6)$
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lesson 7 practice problems 1. which of these statements is true? a. all…
B. All squares are regular polygons.
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unit 1 lesson 2 cumulative practice problems. this diagram was created …
First, set the compass width to the length of AB. Then, draw a circle centered at A and a circle centered at B with the same radius. The intersection points of these two circles a…
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chapter 7: the unit circle: sine and cosine functions section 7.1: angl…
For (a), draw an angle with terminal side in third quadrant (coterminal to 210°). For (b), draw an angle with terminal side on positive y - axis (coterminal to 90°).
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1-99. calculate all the missing angle measures in the diagrams below. h…
a. The missing angles are found as described above with non - labeled angles being 75°, 85°, 75°, and 85° and the remaining angle being 40°. b. The missing angles are 70°, 30°, 80…
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20. the tombs at bani hasan were carved among the high rocky cliffs in …
20. B. to protect the pharaoh's mummy from destruction 21. A. cast metal sculpture 22. A. a king claiming divinity 23. A. TRUE 24. D. A, B, C 25. D. Not listed
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take a look at your metric ruler. you will see many tiny lines, and eve…
3. The 12 - centimeter line is 10 times as long as the 12 - millimeter line. 4. 10 5. $\frac{1}{10}$ or 0.1 6. a) Length in cm = (measure with ruler) Length in mm=(measure in cm)×…
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from unit 1, lesson 3. 8. a, b, and c are the centers of the 3 circles.…
B. \(HA\), E. \(BD\)
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6. in the construction, a is the center of one circle, and b is the cen…
\(AC\), \(AD\), \(BC\), \(BD\)
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which angle is vertical to ∠4? ∠1 ∠3 ∠2 ∠6
∠2
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which angle is complementary to ∠4? ∠1 ∠5 ∠2 ∠3
∠5
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which angle is vertical to ∠2? ∠1 ∠3 ∠4 ∠5
∠4
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ln and oq are parallel lines. which angles are adjacent angles? ∠lmp an…
$\angle{LMP}$ and $\angle{OPM}$
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pr and su are parallel lines. which angles are corresponding angles? ∠r…
$\angle RQO$ and $\angle STQ$
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a. determine the area of this figure in cm length: height: area:
Length: (No value given), Height: (No value given), Area: $l\times h$ $cm^{2}$
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(from unit 1, lesson 5.) 5. this diagram is a straightedge and compass …
The triangle formed by the centers of the circles (for example, if the centers are labeled as points, the triangle with vertices at those points) is equilateral because the sides …
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solve the literal equation for y. 1. y + 5x = 17 2. 4y - 36x = 28 3. 8x…
1. \(y=17 - 5x\) 2. \(y = 7+9x\) 3. \(y=x - 3\) 4. \(y = 12+36x\) 5. \(x=\frac{y}{7}\) 6. \(x=\frac{d}{5(1 + 2f)}\) 7. \(x=\frac{p}{r - s}\) 8. \(x=\frac{3j - n}{4k + 7m}\) 9. \(h…
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write the coordinates of the vertices after a dilation with a scale fac…
$Q'=(0, - 2)$; $R'=(2,0)$; $S'=(0,2)$; $T'=(-\frac{4}{5},0)$
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write the coordinates of the vertices after a dilation with a scale fac…
$U'(-8,-4)$, $V'(-4,-4)$, $W'(-4,-8)$, $T'(-8,-8)$
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3 - 10. ac is a straight segment as shown in the diagram below. if the …
43 miles
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write the coordinates of the vertices after a dilation with a scale fac…
$P'(0,-6)$, $Q'(9,0)$, $R'(0,3)$, $S'(-9,0)$
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates are $P'(0, - 6)$, $Q'(9,0)$, $R'(0,3)$, $S'(-9,0)$
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solve each equation. check your solution. 14. 9g - 14 = 2g 15. -6f + 13…
14. $g = 2$ 15. $f = 3$ 16. $h=-10$ 17. $z = 5$ 18. 7 games 19. $n = 18$ 20. $x = 3$ 21. $x=\frac{1}{2}$
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates are $S'(-9,-3)$, $T'(0,-3)$, $U'(0,9)$, $V'(-9,9)$
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of the vertices after dilation are \(E'(-3,-4)\), \(F'(1,-4)\), \(G'(1,-3)\), \(H'(-3,-3)\)
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of $A$ are $(-3,-4)$, of $B$ are $(-3,-1)$, of $C$ are $(-1,4)$ and of $D$ are $(-1,-4)$.
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of \(A\) are \((0,\frac{2}{3})\), of \(B\) are \((-1,-3)\), of \(C\) are \((-1,2)\), of \(D\) are \((3,-3)\)
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of \(A\) are \((-2,-3)\), the new coordinates of \(B\) are \((0,-3)\), and the new coordinates of \(C\) are \((0,-5)\)
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circle the vague pronoun. then rewrite the sentence so that its meaning…
The vague pronoun is "she". Revised sentence: Chen told her sister that Chen really liked her sister's new shoes.
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write the coordinates of the vertices after a dilation with a scale fac…
$M'(0,0)$, $N'(-8,-4)$, $K'(-4,-8)$, $L'(8,-4)$
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the area of the trapezoid is 0.72 square feet. what is the trapezoids h…
$0.8$
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what is the area of the trapezoid? square meters
300
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write the coordinates of the vertices after a dilation with a scale fac…
$K'(0,-8)$
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3 - 8. the three - dimensional shape at right is called a cylinder. its…
Rectangle
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what is the area of the trapezoid? 12 ft. 24 ft. 20 ft. 28 ft. square f…
400
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the area of the trapezoid is 450 square feet. what is the trapezoids he…
30
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what is the area of the trapezoid? 0.3 km 0.5 km 0.6 km 0.7 km square k…
$0.25$
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the area of the trapezoid is 9 square centimeters. what is the trapezoi…
3
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of \(S\) are \((-8,0)\), of \(P\) are \((4,-4)\), of \(Q\) are \((8,-4)\), and of \(R\) are \((8,0)\)
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the area of the trapezoid is 27 square centimeters. what is the trapezo…
3
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what is the area of the trapezoid? 0.9 ft. 1.2 ft. 1.1 ft. 0.5 ft. squa…
$0.77$
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what is the area of the trapezoid? 11 cm 15 cm 17 cm 19 cm square centi…
225
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write the coordinates of the vertices after a dilation with a scale fac…
$S'(-8,-8),T'(0,-8),U'(8,8),V'(-8,8)$
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what is the area of the trapezoid? 3 yd. 6 yd. 7 yd. 7 yd. square yards
30
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14. if this rectangle has a perimeter of 84, then what is the area? x -…
185
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of the vertices are $E(-2,0)$, $F(-2,-\frac{10}{3})$, $G(\frac{4}{3},-\frac{10}{3})$, $H(\frac{4}{3},0)$
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of \(E\) are \((0,-2)\), of \(F\) are \((\frac{8}{3},-2)\), of \(G\) are \((\frac{8}{3},1)\), and of \(H\) are \((0,1)\).
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of the vertices are \(S'(-2,0)\), \(T'(-1,2)\), \(U'(-1,0)\), \(R'(-2,-2)\)
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write the coordinates of the vertices after a dilation with a scale fac…
$Q'(-8,-8)$, $R'(-8,8)$, $S'(8,-8)$
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the sum of the base and the height of a triangle is 14 cm. find the dim…
The triangle with maximum area has a height of $7$ cm and a base of $7$ cm.
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of $R$ are $(-2,-2)$, of $S$ are $(-2,2)$ and of $T$ are $(0,-2)$.
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of \(K\) after dilation are \((-4,4)\), the coordinates of \(L\) after dilation are \((4,4)\), and the coordinates of \(M\) after dilation are \((-2,3)\).
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of the vertices are \(B'(-2,0)\), \(C'(-2,1)\), \(D'(2,1)\), \(E'(2,0)\)
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formulas 1 meter = 100 centimeters 1 kilogram = 1000 grams 1 kilometer …
| Meters | Centimeters | | ---- | ---- | | 1 | 100 | | 2 | 200 | | 5 | 500 | | 8 | 800 | | 10 | 1000 | The value of the underlined 9 is 10 times as many as the circled 9. 245,134 …
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of \(C\) are \((0, - 2)\), of \(D\) are \((-\frac{4}{3},-\frac{2}{3})\), of \(E\) are \((-\frac{8}{3},-2)\), and of \(B\) are \((-2,-\frac{8}{3})\).
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#s 13 - 20 use the triangle angle sum theorem and your understanding of…
Problem 13: \(x = 10\), Angle \(A = 75^{\circ}\) Problem 14: \(x=\frac{85}{9}\), Angle \(A=\frac{76}{3}\approx25.33^{\circ}\) Problem 15: \(x=-4\), Angle \(A = 55^{\circ}\) Proble…
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of \(C\) are \((0, - 2)\), the new coordinates of \(D\) are \((-\frac{4}{3},-1)\), and the new coordinates of \(E\) are \((-\frac{8}{3},-2)\) (assuming the ori…
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of \(B'\) are \((-\frac{4}{3},-\frac{8}{3})\), the coordinates of \(C'\) are \((\frac{2}{3},-2)\), the coordinates of \(D'\) are \((-\frac{2}{3},-1)\), and the coo…
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shown clearly and neatly. x = ____ 22) y = ____ (8x - 10)° (6y + 20)° 7…
\(x = 10\), \(y=\frac{25}{3}\)
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the worlds largest ball of twine was made by a farmer who lived in darw…
$509.66$
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write the coordinates of the vertices after a dilation with a scale fac…
B$(-10,-10)$, C$(-10,0)$, D$(10,0)$, E$(10,-10)$
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of the vertices are \(P(0,-2)\), \(Q(0,1)\), \(R(1,1)\), \(S(1,-2)\)
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4.6 surface area and volume of spheres on july 16, 1882 a massive thund…
$2570.35$
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write the coordinates of the vertices after a dilation with a scale fac…
The new coordinates of the vertices are \(T(-2,-2)\), \(W(-2,-1)\), \(V(2,-1)\), \(U(2,-2)\)
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of $U$ after dilation are $(-5,-10)$, the coordinates of $V$ after dilation are $(-5,10)$, and the coordinates of $W$ after dilation are $(5,-10)$.
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50. how many edges, vertices, and faces does a tetrahedron have? 1.7
Edges: 6, Vertices: 4, Faces: 4
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{3}{2}$
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the moons radius is about 1080 miles. the earths radius is about 3960 m…
surface area of earth = $196940640$ mi² surface area of moon = $14515776$ mi²
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{1}{3}$
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find the volume of the rectangular prism below measured in cm.
$96$ $cm^{3}$
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a four - sided figure is resized to create a scaled copy. the lengths o…
$\frac{1}{4}$
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1. define eccentricity:
In mathematics, eccentricity is a measure that describes the deviation of a conic - section from being circular. For an ellipse, $0<e<1$; for a parabola, $e = 1$; for a hyperbola,…
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4.8 surface area and volume of spheres the moons radius is about 1080 m…
surface area of earth = $196960896$ mi² surface area of moon = $14649984$ mi²
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the triangle below is equilateral. find the length of side x in simples…
\(\frac{11}{2}\)
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4.8 surface area and volume of spheres julie thinks that if you double …
No, she is not correct. When the radius of a sphere is doubled, the surface area becomes 4 times the original, not 2 times, as shown by the surface - area formula $A = 4\pi r^{2}$.
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the triangle below is isosceles. find the length of side $x$ in simples…
$4\sqrt{2}$
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given m||n, find the value of x. (3x - 28)° (x + 2)°
\(x = 15\)
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3. describe the difference between a circle and an ellipse (make sure t…
A circle has one center (a single - focus equivalent in a sense) with all points at equal distance from it. An ellipse has two foci, and the sum of the distances from any point on…
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given m||n, find the value of x.
\(x = 27\)
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point a on the coordinate plane is translated to point a, as shown. wha…
\(h=-1,k=-5\)
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given m||n, find the value of x.
\(13\)
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image long description point a on the coordinate plane is translated to…
1. **Explanation**: - **Step1: Determine the horizontal - translation \(h\)** - To find the value of \(h\) (horizontal translation), we look at the change in the \(x\) - coordinat…
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solve for the value of y.
$y = 13$
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find the measure of the missing angles.
\(d = 90^{\circ}\), \(e = 134^{\circ}\), \(f = 46^{\circ}\)
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unit 4 transformations > lesson 3 translations as functions ricardo dra…
$(1,-2)$
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find the measure of the missing angles.
\(x = 62^{\circ}\), \(y = 118^{\circ}\)
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unit 4 transformations > lesson 3 translations as functions linda draws…
$(4,-1)$
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drag to correctly order the following steps to calculate the area of a …
1. Identify the length and width of the metal plate in the same unit of measurement. 2. Multiply the length by the width. 3. Write the answer using the correct unit of measurement…
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in the figure, m∠3 = 75° and m∠10 = 115°. find the measure of each angl…
15) $105^{\circ}$ 16) $115^{\circ}$ 17) $75^{\circ}$ 18) $65^{\circ}$ 19) $115^{\circ}$ 20) $65^{\circ}$
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example 3 refer to the coordinate grid. 9. find point z on rs such that…
For problem 15, the two points on the line between the Capitol and the White House with ratio \(1:3\) are \((-1,1)\) and \((-7,11)\). For problems 9 - 14 and 16, numerical answers…