Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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fg has a mid - point at m(20, 15.5). point g is at (20, 19). find the c…
$(20,12)$
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in the figure below, △abc ~ △zxy. find sin z, tan z, and cos z. round y…
$\sin Z\approx0.32$, $\tan Z\approx0.34$, $\cos Z\approx0.95$
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find the measure of each angle. 2x + 3= 18x + 7= (simplify your answers…
$2x + 3=11^{\circ}$ $18x + 7=79^{\circ}$
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problems 1 - 4: here is part of a scale drawing of zahras office. the s…
1. 5 feet by 10 feet 2. 50 square feet 3. 1.2 cm 4. No. The area of Zahra's office is 50 square feet and the area of Fabiana's office is 200 square feet. Fabiana's office is 4 tim…
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what is the construction that needs to be done to make a copy of ∠bac? …
Using a compass, measure the length from point $B$ to point $C$. Then, make another arc by placing the pointed end of the compass on point $Q$ and draw a small arc that intersects…
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directions: for each sentence, circle the simple subject. underline the…
1. Circle: father, I; Underline: were walking 2. Circle: Bob; Underline: walked 3. Circle: father; Underline: hated 4. Circle: He; Underline: saw 5. Circle: He; Underline: told 6.…
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in the figure below, △xyz ~ △acb. find cos b, sin b, and tan b. round y…
\(\cos B\approx0.88\) \(\sin B\approx0.47\) \(\tan B\approx0.53\)
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in the figure below, △abc ~ △xzy. find sin z, tan z, and cos z. round y…
$\sin Z\approx0.75$ $\tan Z\approx1.15$ $\cos Z\approx0.66$
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lexi started with cd on her paper. she folded her paper so that point c…
$\overleftrightarrow{QR}$
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sin z = tan z = cos z =
\(\sin Z=\frac{55}{73}\), \(\tan Z=\frac{55}{48}\), \(\cos Z=\frac{48}{73}\)
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on a line segment, m is between l and n. if lm = 11, mn = x - 7, and ln…
4
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complete the statements the slope of line n is zero the slope of line w…
The slope of Line N is 0. The slope of Line W is 1. The slope of Line Q is - 1.
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geometry basics geometry basics unit test thuy examines the figure in t…
She must measure the distance from point $N$ to point $O$ using a compass and place the compass on point $P$ to see if point $Q$ is the same distance.
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15. y raised to the fourth power. 16. one - fourth of a number. 17. x d…
15. $y^4$ 16. $\frac{1}{4}x$ 17. $\frac{x}{3}$ 18. $x + 10$ 19. $y-5$ 20. $\frac{1}{2}x$ 21. $y + 2$ 22. $3x$ 23. $\frac{x}{3}$ 24. $8x$
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geometry basics unit test consider the following statement: a trapezoid…
2
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bc has endpoints at b(19.6, 16.1) and c(8.3, 8.2). find the midpoint m …
$(13.95,12.15)$
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what is the precise definition of the figure in the image? (1 point) a …
A line that intersects another line at a 90 - degree angle.
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what is the area of this figure? square meters
215
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use theorems about perpendicular lines to find the value of x in the gi…
19
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name: sclavo baseline exam date: period: enl transitioning instructions…
1. b 2. a 3. d 4. a 5. b 6. b 7. c
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what is the area of this figure? square feet
182
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fg has endpoints at f(85, -4) and g(60, -99). find the midpoint m of fg…
$(72.5,-51.5)$
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p(-80, -64) and q(67, 81) are the endpoints of a line segment. what is …
$M=(-6.5,8.5)$
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fg has endpoints at f(27, 15) and g(4, 52). find the mid - point m of f…
$(15.5,33.5)$
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directions: circle the best answer for each question. 9. which word has…
9. C. trustworthy 10. B. false 11. A. convenient 12. A. made the party seem wilder than it was
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find the value of the variable and the measure of each labeled angle. (…
$x = 15$, and the measure of the labeled angle is $30$
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on a line segment, f is between e and g. if ef = 12, fg = x + 14, and e…
33
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find the value of the variable and the measure of each labeled angle. p…
\(x = 37\)
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find the values of the variables. $x = $y = (simplify your answer.)
$x = 49$ $y = 56$
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if ef = 8x + 6, fg = 9x - 17, and eg = 18x - 19, what is fg? simplify y…
55
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name line m in a different way use proper notation when entering your a…
\(\overleftrightarrow{AE}\)
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17. dig deeper! the houses are identical. a. what is the length of side…
a. 32 ft b. $\angle N$ c. $AB = 12$ ft, perimeter of $ABCDE = 80$ ft
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figure wxyz is rotated 90° counterclockwise around the origin to form f…
9. $5$ 10. $-1$ 11. (No answer as original coordinates of $Y$ not given) 12. (No answer as original coordinates of $Z$ not given)
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complete the following proof by filling in the blanks. given: ∠2≅∠4 pro…
2) Vertical angles are congruent; 3) $\angle2\cong\angle8$; 4) Vertical angles are congruent; 5) Transitive property of congruence
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figure wxyz is rotated 90° clockwise around the origin to form figure w…
Since the original coordinates of points $W$, $X$, $Y$ and $Z$ are not given, we cannot provide specific numerical answers for the coordinates of $W'$, $X'$, $Y'$ and $Z'$ after r…
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performing a rotation in the coordinate plane > fill in the missing num…
1. $2$ 2. $4$ 3. $1$ 4. $3,8$ 5. $- 5$ 6. $-4$ 7. $6$ 8. $8,-3$
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find the measures of the labeled angles. (x + 100)° 6x° (x + 100)° = 12…
$x = 20$, $6x=120$
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find the measures of the labeled angles. (x + 100)° 6x° (x + 100)° = □°…
$120$
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find m∠1, m∠2, and m∠3. explain your reasoning. m∠2 = by the m∠1 = by t…
\(m\angle1 = 133^{\circ}\) by the corresponding - angles postulate \(m\angle2 = 133^{\circ}\) by the vertical - angles theorem \(m\angle3 = 47^{\circ}\) by the linear - pair postu…
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find the measures of the labeled angles. 3x° = 63° (type a whole number…
\(3x = 63\), \((84 - x)=63\)
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find the measures of the labeled angles. 3x° = □° (type a whole number.)
63
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in the figure below, the measure of ∠1 = 4x°, the measure of ∠2 = y°, a…
$x = 18$ $y = 108$
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2. the slope of a graph may also be considered a ratio of “changes”. wh…
The ratio of the change in the $y$ - values (vertical change) to the change in the $x$ - values (horizontal change) makes up the slope ratio.
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figure wxyz is rotated 90° clockwise around the origin to form figure w…
1. $W'(5,6)$ 2. $X'(4,1)$ 3. $Y'(-6,6)$ 4. $Z'(3,7)$
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in the figure below, the measure of ∠1 = 4x°, the measure of ∠2 = y°, a…
$x = 18$
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area of composite figures - set 3 find the area of the composite figure…
Area of figure A: 219 Area of figure B: 125 Area of figure C: 408 Area of figure D: 78
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problems 1 - 2: here is a polygon. 1. draw a scaled copy of the polygon…
1. Follow the side - length or coordinate - multiplication method to draw the scaled polygon with a scale - factor of 2. 2. The perimeter of the scaled copy is 2 times the perimet…
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in the figure below, the measure of ∠4 = 90°, the measure of ∠5 = 65°, …
$m\angle2 = 25^{\circ}$, $m\angle3=65^{\circ}$
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find m∠1, m∠2 and m∠3. explain your reasoning. m∠1 = m∠3 = m∠2 = 80° 10…
\(m\angle1 = 80^{\circ}\) by the Corresponding Angles Theorem \(m\angle3 = 80^{\circ}\) by the Alternate Exterior Angles Theorem \(m\angle2 = 100^{\circ}\) by the Linear - Pair Po…
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find the value of x . show your steps. step 1: (8x + 9)°+99°= step 2: 8…
Step 1: \((8x + 9)^{\circ}+99^{\circ}=180^{\circ}\) Step 2: \(8x + 108 = 180\) Step 3: \(8x = 72\) Step 4: \(x = 9\)
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area of composite figures - set 3 find the area of the composite figure…
- E: 132 - G: 522 - F: 330 - H: 267
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2. a scale drawing of a lake has a scale of 1 cm to 80 m. if the actual…
20 cm
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if angle w measures 45°, what are the measures of the other angles in t…
∠U = 45°, ∠V = 45°, ∠X = 135°, ∠Y = 135°, ∠Z = 135°
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area of composite figures - set 3 find the area of the composite figure…
First figure: 282 Second figure: 403
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activity the image shows a transversal passing through two parallel lin…
1. $\angle S$ and $\angle T$ 2. $\angle T$ and $\angle U$ 3. $\angle U$ and $\angle V$ 4. $\angle V$ and $\angle S$ 5. $\angle W$ and $\angle X$ 6. $\angle X$ and $\angle Y$ 7. $\…
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activity in this activity, you will explore the relationships between t…
| Angle in Upper Intersection | Corresponding Angle in Lower Intersection | | ---- | ---- | | A | E | | B | F | | C | G | | D | H |
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area of composite figures - set 2 find the area of the composite figure…
C: 370 E: 342 D: 370 F: 225
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complete the steps to find the value of x. 72° (7x + 24)° □+(7x + 24)=1…
The first blank is 72, the second blank is 96, the third blank is 84, the fourth blank is 12.
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lesson practice 2.1.03 problems 1 - 2: here is a polygon. 1. draw a sca…
1. Follow the rule of multiplying vertex coordinates by 2 to draw the scaled polygon. 2. Use \(P_{scaled}=2P\) and \(A_{scaled}=4A\) after finding \(P\) and \(A\) of the original …
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complete the steps to find the value of x. 128° 2x = x =
$2x = 128$ $x = 64$
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area of composite figures - set 2 find the area of the composite figure…
G. 522 H. 267 I. 238 J. 240
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area of composite figures - set 1 find the area of the composite figure…
I: 763 A: 346 J: 343 B: 458
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what is the total area of her room? kaceys room is 9 feet long by 7 fee…
63 square feet
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the area of a square is 49 square feet. what is the measure of one of t…
7 feet
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area of composite figures - set 1 find the area of the composite figure…
E: 396 G: 348 F: 363 H: 726
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10 what is true for an image and a preimage in a reflection? a the imag…
C. The image and the preimage have different orientations.
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the area of a square is 49 square feet. what is the measurement of one …
C. 7 feet
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in the graph below, what is the line of reflection for △xyz and △xyz? a…
C. \(x = 2\)
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refer to the coordinate grid. find point y on cd such that the ratio of…
A. \((1,\frac{1}{3})\)
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the figure on the right is a scaled copy of the figure on the left. wha…
Corresponding side: $XV$ Scale factor: $\frac{1}{2}$
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the figure on the right is a scaled copy of the figure on the left. ans…
Corresponding side: $PS$ Scale factor: $\frac{1}{2}$
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a picture on a wall is 4 feet wide and 4 feet long. the figure shows th…
16
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a (1,7) b (8,7) d (1,2) c (8,2) what is the coordinate for b after a re…
$(-6,3)$
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word problem involving the pythagorean theorem in three - dimensions. a…
(a) \(a\approx15.2\) ft (b) \(b\approx17.2\) ft
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undefined term in geometry. use the number line for items 6 - 9. 6. wha…
6. \(AB = 20\) 7. The coordinate of the mid - point of \(AB\) is \(-2\). We used the mid - point formula \(M=\frac{x_1 + x_2}{2}\) with \(x_1=-12\) and \(x_2 = 8\). 8. The coordin…
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the figure on the right is a scaled copy of the figure on the left. ans…
Which side in the figure on the right corresponds to segment $FG$: ML What is the scale factor: $\frac{1}{2}$
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a tent has the shape of an isosceles triangular prism. the campers add …
(a) \(a\approx15.2\) ft (b) \(b\approx17.2\) ft
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6 what is the line of reflection for the two polygons? a y = x b x = 1 …
B. \(x = 1\)
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exponents, polynomials, and radicals word problem involving the pythago…
(a) $a = 15$ in (b) $b\approx15.8$ in
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chantel graphs △s and △t. the corresponding angles are congruent. the s…
A dilation with a scale factor of 5 centered at a chosen point (e.g., the origin) will map $\triangle S$ onto $\triangle T$.
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the area of a square is 9 square feet. what is the side length?
3 feet
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5 what is the image of a(3, -1) after a reflection across the y - axis …
A. (-3, -1)
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refer to the coordinate grid. find point x on ab such that the ratio of…
A. \((4,\frac{5}{4})\)
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3. draw a scaled copy of figure abcd using a scale factor of 1.3.
Plot the scaled - copy of figure ABCD with vertices obtained by multiplying the coordinates of the original vertices by 1.3.
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a rectangle has two sides that are 6 inches in length and two sides and…
42 square inches
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janice plots △abc in the coordinate plane. her teacher asks her to rota…
Use the rule $(x,y)\to(y, - x)$ to find the correct coordinates of $A'$, $B'$, $C'$ after a 270 - degree counter - clockwise rotation about the origin.
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solve the inequality and graph the solution. 7x - 2>6x - 4. choose the …
D
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frank is drawing a treasure map using a scale of 1 cm to 10 m. he wants…
2
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9. a sector of a circle has central angle 36° and arc length 7.8 cm. fi…
$48$ $cm^{2}$
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question the figure on the right is a scaled copy of the figure on the …
The scale factor is the ratio of the length of the corresponding side in the right - hand figure to the length of the side $KH$ in the left - hand figure. Without specific length …
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select the coordinates of point x on rs that is ⅙ of the distance from …
B. \((-3,1\frac{1}{3})\)
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select the coordinates of point x on ab that is ⅕ of the distance from …
C. \((-3.6,-2.2)\)
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describe a real - world object that can be modeled by a rectangular pri…
A real - world object like a shoe - box can be modeled as a rectangular prism. The volume formula is \(V=l\times w\times h\), where \(l\) is length, \(w\) is width and \(h\) is he…
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given the quadrilateral, find the perimeter. let the units be in feet.
500 feet
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the midpoint of jk is m(5.5, 8). one endpoint is k(9, 12). find the coo…
$(2,4)$
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which angle number represents the linear pair of ∠txs? answer attempt 1…
3
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given the quadrilateral, find the perimeter. let the units be in feet.
400 feet
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what is the smallest angle of rotational symmetry for a square? 45° 90°…
90°
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if m∠lrk = 84°, then what is m∠jrm? answer attempt 1 out of 2 m∠jrm =
$84$
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uv has a midpoint at m(-2, 1.5). point u is at (14, 3). find the coordi…
$(-18,0)$