Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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to indirectly measure the distance across a lake, bilquis makes use of …
$190.43$ m
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10. look at the figure, ▱pqrs. find the values of x and y. options: - x…
# Explanation: ## Step1: Use property of parallelogram diagonals In a parallelogram, the diagonals bisect each other. So, for the diagonals of parallelogram $PQRS$, we have $2x=x …
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2. here are two similar polygons. measure the side lengths and angles o…
For problem 2: Corresponding angles of similar polygons are equal and ratios of corresponding side - lengths are equal. For problem 3: First, find the center of dilation by findin…
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10. look at the figure, ▱pqrs. find the values of x and y. options: x =…
# Explanation: ## Step1: Use property of parallelogram diagonals In a parallelogram, the diagonals bisect each other. So, $2x=x + 2$. ## Step2: Solve for $x$ Subtract $x$ from bot…
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9. in the parallelogram, m∠klo = 68 and m∠mlo = 61. find m∠kjm. the fig…
129
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8. look at the figure, ▱pqrs. find m∠p.
\(144^{\circ}\)
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7. look at the figure, ▱fgme. find the length of $overline{gm}$. 15 25 …
10
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6. in ▱efgh, find the measure of ∠gfh.
B. $30^{\circ}$
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the length of a rectangle is 1 yd more than double the width, and the a…
Length: 10 yd Width: 4.5 yd
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5. wxyz is a parallelogram. name an angle congruent to ∠wzy. ∠xwz ∠zxw …
∠WXY
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4. look at the figure, ▱jklm. find the length of $overline{jk}$. 14 + 2…
24
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3. abcd is a parallelogram. if m∠dab = 105, then what is m∠bcd? 65 105 …
B. 105
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2. look at the figure, ▱fhjm. find the length of $overline{hj}$.
42 m
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1. efgh is a rectangle. ea is 12 in. find the length of the diagonal ef…
24 in
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the perimeter of a geometric figure is the sum of the lengths of its si…
The side - lengths are: three sides of length 6 meters and two sides of length $2.5\times6 = 15$ meters.
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patsys pizza sells one 12 - inch cheese pizza or two 8 - inch cheese pi…
B. The 12 - inch pizza gives more pizza with an area of 113.10 square inches.
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a lawn is in the shape of a trapezoid with a height of 60 feet and base…
2
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how many sides do 3 heptagons, 1 dodecagon, and 5 nonagons have in all?…
78
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lesson 6: practice problems 1. each diagram has a pair of figures, one …
For the first pair of figures on the rectangular grid: Dilation with a scale factor of 2 centered at the origin followed by a translation. For the second pair of figures on the po…
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a rectangle has an area of 45x^2 - 42x - 48 and a width of 5x - 8. what…
$9x + 6$
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given: • ab ≅ de • ac ≅ df • bc ≅ ef • ∠a ≅ ∠d • ∠b ≅ ∠e • ∠c ≅ ∠f proo…
$\triangle ABC$ is congruent to $\triangle DEF$ as shown by the series of rigid - motion and congruence - property applications.
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use the side - angle - side triangle congruence theorem in a proof. sup…
Highlight $\overline{AB}\cong\overline{DE}$, $\overline{AC}\cong\overline{DF}$, $\angle A\cong\angle D$ and the lines in the proof where these congruences are used to show $\trian…
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three branches of government quiz read each question and circle the cor…
1. c. the Senate & House of Representatives 2. b. Executive 3. c. life 4. c. Judicial 5. a. commander - in - chief 6. c. elected by the people 7. b. veto 8. a. Legislative 9. a. 2…
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the measure of an angle is 170.1°. what is the measure of its supplemen…
\(9.9^{\circ}\)
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what is the value of q? 117.9° your answer: 62.1°
62.1
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the measure of an angle is 58.4°. what is the measure of its complement…
\(31.6^{\circ}\)
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what is the value of j?
$120.1^{\circ}$
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which equation can be used to solve for x? 39x = 90, 39x = 180, 3x + 36…
\(x = 18\)
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the measure of an angle is 75.2°. what is the measure of its complement…
14.8
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what is the value of y? your answer: 58.1
58.1
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df and gi are parallel lines. which angles are alternate interior angle…
$\angle IHE$ and $\angle DEH$
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look at the diagram. which equation can be used to solve for x? 5x + 65…
$x = 5$
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2) en la figura del margen, calcula la diferencia entre el perímetro de…
$2x + 2$
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19. find the perimeter of this figure (for perimeter add all sides) 9 c…
32 cm
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18. an angle less than 90° is called a(n)____ angle. draw one.
acute
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determine if the two triangles are necessarily congruent. if so, fill i…
are
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based on the given diagram, complete the flowchart proof below. ∠adb≅∠c…
- $\angle ADB\cong\angle CDB$ Reason: Definition of right - angles (all right - angles are congruent) - $\angle A\cong\angle C$ Reason: Given - $\overline{BD}\cong\overline{BD}$ R…
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ac bisects ∠bcd reason: given ∠bca≅∠dca reason: an angle bisector divid…
ASA (Angle - Side - Angle) congruence postulate.
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ac bisects ∠bad reason: given ∠bac≅∠dac reason: an angle bisector divid…
An angle bisector divides an angle into two congruent angles.
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a flower bed is in the shape of a triangle with one side twice the leng…
58
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ab ≅ ad reason: select reason search for reasons... given reflexive pro…
Given
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given $overline{ac}$ is the angle bisector of $angle bad$ and $angle bc…
Reasons: - $\angle BAC\cong\angle DAC$: Definition of angle - bisector - $\angle BCA\cong\angle DCA$: Definition of angle - bisector - $\triangle ABC\cong\triangle ADC$: ASA (Angl…
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a flower bed is in the shape of a triangle with one side twice the leng…
29
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given $overline{ac}$ is the angle bisector of $angle bad$ and $angle bc…
- Reason for $\angle BAC\cong\angle DAC$: Definition of angle - bisector - Reason for $\angle BCA\cong\angle DCA$: Definition of angle - bisector - Reason for $\triangle ABC\cong\…
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an architect designs a rectangular flower garden such that the width is…
The length of the garden is 126 feet and the width is 84 feet.
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given $overline{ac}perpoverline{bd}$, complete the flowchart proof belo…
- $\angle ADB\cong\angle CDB$ Reason: All right angles are congruent. - $AD\cong CD$ Reason: Given (assumed as no other reason is provided in the problem). - $\angle A\cong\angle …
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given $overline{bd}$ bisects $angle abc$, complete the flowchart proof …
- $\angle ABD\cong\angle CBD$ Reason: Definition of angle - bisector - $\angle A\cong\angle C$ Reason: Given - $\overline{AB}\cong\overline{CB}$ Reason: Given - $\triangle ABD\con…
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9. look at the figure, ▱pqrs. find the values of x and y x = 6, y = 9 x…
# Explanation: ## Step1: Use property of parallelogram diagonals In a parallelogram, the diagonals bisect each other. So, for the diagonals of parallelogram $PQRS$ with intersecti…
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a frame shop charges according to both the amount of framing needed to …
a. The area of the picture is $420$ sq in. and the perimeter is $110$ in. b. The frame is related to the perimeter and the glass is related to the area, and they are not the same.
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4. look at the figure, ▱pqrs. find the values of x and y. options: - x …
# Explanation: ## Step1: Recall parallelogram property In a parallelogram, the diagonals bisect each other. So, $QT = TS$ and $PT=TR$. For the diagonals of parallelogram $PQRS$, w…
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4. look at the figure, ▱pqrs, find the values of x and y. x + 2 2x y y …
# Explanation: ## Step1: Use property of parallelogram diagonals In a parallelogram, the diagonals bisect each other. So, $QT = TS$ and $PT=TR$. For the first - diagonal relations…
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4. look at the figure, ▱pqrs, find the values of x and y x = 5, y = 7 x…
# Explanation: ## Step1: Use property of parallelogram diagonals In a parallelogram, the diagonals bisect each other. So, the segments of the diagonals are equal. We have the equa…
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3. abcd is a parallelogram. if m∠cda = 75, then what is m∠dab? 115 75 9…
105
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2. look at the figure, ▱pqrs. find m∠p.
$144^{\circ}$
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2. look at the figure, ▱pqrs. find m∠p.
150°
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1. in ▱efgh, find the measure of ∠ghe 60° 120° 30° 90°
$120^{\circ}$
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find m∠1, m∠2 and m∠3. explain your reasoning. m∠1 = 100° by the m∠3 = …
# Explicación: ## Paso 1: Identificar ángulos adyacentes El ángulo de $80^{\circ}$ y $\angle 1$ son adyacentes y forman un ángulo llano de $180^{\circ}$. Entonces, $m\angle 1=180 …
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find m∠1 and m∠2. tell which theorem can be used. m∠1 = by the m∠2 = by…
m∠1 = 117° por el Teorema de Ángulos Alternos Internos m∠2 = 117° por el Teorema de Congruencia de Ángulos Verticales
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find the value of x that makes m || n. 135° (2x + 15)° m n x = □
$x = 60$
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complete the steps to find the value of x. 65 + (square)=180 11x + (squ…
# Explicación: ## Paso 1: Identificar ángulos suplementarios Los ángulos de $65^{\circ}$ y $(11x - 17)^{\circ}$ son suplementarios, es decir, suman $180^{\circ}$. Entonces, $65+(1…
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the perimeter of an equilateral triangle is 7 inches more than the peri…
13
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8) the length of a rectangle is 1 foot more than twice the width. the a…
The width of the rectangle is 5 feet and the length is 11 feet.
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a toy in the shape of a sphere expands and contracts. when it is comple…
$2805$ cu in
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find m∠1, m∠2, and m∠3. explain your reasoning. m∠2= by the m∠1= by the…
# Explicación paso a paso: ## Paso 1: Identificar ángulos correspondientes El ángulo de $133^{\circ}$ y $\angle1$ son ángulos correspondientes. Según el Teorema de Ángulos Corresp…
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7) the width of a rectangle is 11 inches less than its length. find the…
Length is 16 inches and width is 5 inches.
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a toy ball in the shape of a sphere expands and contracts. when it is c…
$220$
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5) the length of a rectangle is 4 times its width. the area of the rect…
The width of the rectangle is 6 inches and the length is 24 inches.
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you move left 4 units and up 5 units. you end at (-5, 4). where did you…
$(-1,-1)$
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you move up 4 units. you end at (3, -1). where did you start?
$(3, - 5)$
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you start at (-5, 5). you move right 7 units. where do you end?
$(2,5)$
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you start at (3, -2). you move up 7 units and down 10 units. where do y…
(3, - 5)
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the formula v = lwh is used to find the volume of a box. if the length …
C. The volume is multiplied by 64.
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you move left 4 units and up 1 unit. you end at (-4, 5). where did you …
(0, 4)
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you start at (4, -1). you move right 1 unit. where do you end?
$(5,-1)$
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triangle ade is similar to triangle abc. which statement is true concer…
The slope of the line formed by the hypotenuse of $\triangle ADE$ is equal to the slope of the line formed by the hypotenuse of $\triangle ABC$.
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edwards grandmother used to make him pannukakku when he was little. he …
A pan with a radius of 6 in.
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proving a theorem prove alternate exterior angles converse. given: ∠1≅∠…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Sabemos que $\angle1$ y $\angle3$ son ángulos verticales, entonces $\angle1\cong\angle3$ (ángulos verticales son con…
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4. the length of a rectangle is eight more than twice its width. if the…
The width $w$ satisfies the inequality $w<13$.
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solve the inequality and graph the solution. 10v - 10 < 10. to draw a r…
The solution of the inequality is $v < 2$. On the number - line, there is an open circle at 2 and a ray extending to the left.
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which point is on the line that passes through point z and is perpendic…
None of the above (There is an error in the problem or options as none of the given points satisfy the condition)
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solve the inequality and graph the solution, 1 + 4y ≤ 9. to draw a ray,…
The solution of the inequality is $y\leq2$. On the number - line, there is a closed circle at 2 and an arrow pointing to the left.
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a photo measures 3 inches by 5 inches and needs to be enlarged to 9 inc…
A. 3
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how can dilations help in problem - solving in mathematics? a. by chang…
C. By resizing geometric figures while maintaining their proportions
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what happens to the proportions of a figure when it is dilated? a. they…
B. They stay the same
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if a small garden plot measures 4 feet by 6 feet and is scaled up by a …
D. 10 feet by 15 feet
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find the distance between the two points in simplest radical form. answ…
\(\sqrt{97}\)
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find the distance between the two points in simplest radical form. (5, …
$10$
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what is the term for the fixed point in a plane used in dilations? a. d…
B. Center of dilation
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find the distance between the two points in simplest radical form. (-9,…
$15$
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a rectangle that is 5 inches by 8 inches is scaled down by a factor of …
C. 2.5 inches by 4 inches
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if a building model is scaled down to 1/50th of the actual size, what i…
B. $\frac{1}{50}$
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what does a dilation do to a figure? a. changes its size while keeping …
A. Changes its size while keeping its shape and orientation
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draw a line representing the ise\ and a line representing the un\ of th…
\(-\frac{1}{4}\)
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the given function $f(x)$ is defined on the interval $-9,9$ and represe…
None of the above options apply.
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question 5 of 10 which of the following statements regarding pascals tr…
A. To generate Pascal's triangle, add adjacent terms on a row to determine the term directly below them. B. Each row is a "palindrome" - that is, it is the same if read from left …
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question 6 of 10 which combination of integers can be used to generate …
B. $x = 4,y = 1$
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a circle in the xy - plane has its center at (2, 9). line t is tangent …
D. \(\frac{88}{5}\)
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determine all the marked angles in the following figure in which l || m.
The marked angles are 50 degrees, 60 degrees, 70 degrees, 110 degrees.
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question 19 a line intersects two parallel lines, forming four acute an…
1070
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figure r figure s answer a reflection over the x -axis a translation 8 …
A translation 8 units to the right and 6 units down