Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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solve for ( x ). figures are not necessarily drawn to scale.
\(x = 9\)
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what must be marked on the triangles below for them to be congruent by …
### 1. For the first triangle congruence problem (SAS): - **Brief Explanations**: - The SAS (Side - Angle - Side) congruence criterion states that if two sides and the included an…
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what must be marked on the triangles below for them to be congruent by …
\(x = 24\) ### How can you verify that your answer for the problem above is correct?
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which angles are congruent to ∠7? choose one option from each drop - do…
$\angle1$ (because they are alternate exterior angles) and $\angle3$ (because they are vertical angles) are congruent to $\angle7$.
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choose...67°, 113°, and 84°.48°, 48°, and 84°.25°, 71°, and 84°.22°, 68…
The angles of the triangle are \(25^{\circ},71^{\circ},\) and \(84^{\circ}\).
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angle rst is rotated 180° counterclockwise about the origin. the result…
(a) \(R(1,-5)\to R'(-1,5)\), \(S(2,1)\to S'(-2,-1)\), \(T(4,-7)\to T'(-4,7)\) (b) The general rule is \((x,y)\to(-x,-y)\)
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select yes or no for each figure. yes yes yes yes no no no no
1. No 2. Yes 3. Yes 4. Yes
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angle xyz is rotated 270° counterclockwise about the origin. the result…
(a) \(X'=(1,8)\), \(Y'=(7,6)\), \(Z'=(-3,2)\) (b) \((x,y)\to(y, - x)\)
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angle 6 is 110°. what is the measure of ∠2? m∠2 = ?° answer in degrees.
\(70\)
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name one angle linear to ∠a. ∠? enter the angle letter.
\(\angle B\)
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deductive reasoning the process of arriving at a conclusion through fac…
1. Tamara will get her driver’s license. 2. No conclusion can be made as Jeremy's 200m - 190s swim has no relation to the 100m - 90s rule. 3. Julie can see the show. 4. No conclus…
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graph the image of kite efgh after a reflection over the line y = 4.
Plot the points \(E'(-2,9)\), \(F'(1,8)\), \(G'(-2,6)\), \(H'(-5,8)\) and connect them to get the reflected kite.
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in the diagram below, ( overline{ef} ) is parallel to ( overline{bc} ).…
\(25\)
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enter the correct answer. angle 3 is 120°. what is the measure of ∠6? m…
\(120\)
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angle def is rotated 90° counterclockwise about the origin. the result …
(a) \(D(-8,-2)\to D'(2,-8)\), \(E(1,-4)\to E'(4,1)\), \(F(-2,-6)\to F'(6,-2)\) (b) \((x,y)\to(-y,x)\)
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name one angle linear to ∠a. ∠? enter the angle letter. linear angles s…
\(\angle B\) (or \(\angle C\))
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△cde was rotated 90° clockwise around the origin to form △cde. △cde was…
# Explanation: ## Step1: Recall the formula for dilation If a point \((x,y)\) is dilated with a scale factor \(k\) and center at the origin \((0,0)\), the new point \((x',y')\) is…
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19. the area of the rectangle is (18x - 12) square inches. write an exp…
\(3x - 2\)
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swer the questions below to find how a, b, and c are related. part 1: c…
Part 1: \(2ab\) Part 2: \(a^{2}+2ab + b^{2}\) Part 3: \(a^{2}+b^{2}\) Part 4: \(281\) Part 5: \(=\)
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given: ( be = df )( ce = ef )prove: ( bc = de )statement1 ( be = bc + c…
1. **Reason 1**: Segment Addition Postulate 2. **Reason 2**: Segment Addition Postulate 3. **Reason 3**: Given 4. **Reason 4**: Substitution Property of Equality 5. **Reason 5**: …
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tony performs a dilation on figure r. he uses a scale factor of 4 with …
\((4,16)\)
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inductive reasoning the process of arriving at a conclusion based on a …
1. \(f(7) = 39\), \(f(8)=45\), \(f(9)=51\), \(f(20)=117\) 2. \(f(7)=-17\), \(f(8)=-20\), \(f(9)=-23\), \(f(20)=-56\) 3. \(f(7)=44\), \(f(8)=52\), \(f(9)=60\), \(f(20)=148\) 4. The…
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the figure shows two lines cut by a transversal. what value of b shows …
\(22\)
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18. factor $-\\frac{1}{2}$ out of $-\\frac{1}{2}x + 8$. 19. the area of…
\(-\frac{1}{2}(x - 16)\) --- For problem 19:
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exploration here is an image of the empire state building in new york c…
(a) \( 1000 \) square meters (b) \( 100000 \) square meters (c) \( 7364.4 \) square meters
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figures x, y, and z are similar. which statement is true? figure x is a…
Figure \(X\) is a dilation of Figure \(Y\) by a scale factor of \(2\).
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graph the image of parallelogram j k l m after a reflection over the li…
Plot the points \(J'(-9,2)\), \(K'(-1,2)\), \(L'(3,1)\) and \(M'(-4,1)\) on the coordinate - plane and connect them to get the image of parallelogram \(JKLM\) after reflection ove…
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how would you describe the width of the line in the picture?
Thin
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pavement triangle 1 pavement triangle is a game that two or more friend…
how to draw another line
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how would you describe the line in the picture? select all answers that…
Curved
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pavement triangle pavement triangle is a game that two or more friends …
how to draw another line
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solve the inequality and graph the solution. 18 < -6f plot the endpoint…
The solution of the inequality is $f < - 3$. On the number line, we have an open circle at $-3$ (because the inequality is strict, $f eq - 3$) and the line extends to the left (t…
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question #4 of 8 which of the following are examples of direction? sele…
Curved, Diagonal
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which of the following is not an example of width? thin vertical thick …
Vertical
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iii. using arc length or sector area 9.) find the perimeter of the shad…
\(17.85\) ft
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given: ( mangle eyg = mangle hxk )( mangle 2 = mangle 4 )prove: ( mangl…
The reasons for statement 2 is "Angle Addition Postulate", for statement 3 is "Given", for statement 4 is "Substitution Property", for statement 5 is "Given".
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from unit 2, lesson 14. a banner at a sporting event is 8 feet long and…
(a) Sketch a rectangle. Label one side as \( 8 \) feet (length) and an adjacent side as \( 2\frac{1}{2} \) feet (width). (b) \( 20 \) square feet
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e. f. what must be marked on the triangles below for them to be congrue…
e. \(No\) f. \(Yes\) by \(AAS\) g. \(Yes\) by \(SSS\) For the SSS question: \(RS = DS\) must be marked. For the ASA question: \(DE = LK\) must be marked.
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what must be marked on the triangles below for them to be congruent by …
1. No for SSS, SAS, AAS, ASA, HL. 2. Yes for AAS. 3. Yes for SSS. 4. \(RS = DS\) must be marked. 5. \(DE = LK\) must be marked.
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what must be marked on the triangles below for them to be congruent by …
- First figure: No for SSS, No for SAS, No for AAS, No for ASA, No for HL. - Second figure: No for SSS, No for SAS, No for AAS, No for ASA, No for HL. - Third figure: Yes for SSS,…
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solve for x. x = submit
\(1\)
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what are the coordinates of point l?
\((6,2)\)
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properties of transformations quiz complete triangle cat is equilateral…
\(120^{\circ}\) (the second option)
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solve for x. x = submit
\(16\)
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properties of transformations quiz complete what isometric transformati…
rotation
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find the x - intercept and the y - intercept of the line below. (a) x -…
(a) \(x\) - intercept: \(-1\) (b) \(y\) - intercept: \(-2\)
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greater than >, less than < or equal = directions: 1. multiply or divid…
\(\frac{3}{4}>\frac{1}{4}\), \(\frac{5}{7}<\frac{6}{7}\), \(\frac{2}{10}<\frac{8}{10}\), \(\frac{2}{6}<\frac{2}{3}\), \(\frac{1}{2}<\frac{5}{8}\), \(\frac{5}{18}<\frac{1}{3}\), \(…
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solve for x. x =
\(2\)
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properties of transformations quiz complete what isometric transformati…
translation
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properties of transformations quiz complete a square with side lengths …
\((6,1)\)
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rectangle abcd has been rotated 180 degrees about the origin to form re…
\((-1,2)\) (the third option)
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properties of transformations quiz complete which is an example of an i…
flipping a grilled cheese sandwich
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solve for x. x =
\(27\)
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17. the area of \\( \\triangle qrs \\) is 21 sq. ft. what is the area, …
\(84\)
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find the measure of \\( \\angle g j k \\). \\( m \\angle g j k= \\) sub…
\(102\)
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properties of transformations quiz complete 1 2 3 4 the rectangle was r…
The rectangle did not change shape or size.
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16. what is the value of x? a 3 b 9 c 15 d 30
\(x = 9\), so the answer is B. 9.
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solve for x. x =
\(x = 8\)
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properties of transformations quiz complete 1 2 3 an equilateral triang…
\(120^{\circ}\)
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15. which triangles are similar?
\(\triangle BCF\sim\triangle DBC\) (True), \(\triangle ABF\sim\triangle BFC\) (False), \(\triangle FBC\sim\triangle CDB\) (False), \(\triangle ABF\sim\triangle DBC\) (False)
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14. select true or false. a dilation is a similarity transformation in …
- A dilation is a similarity transformation in which the corresponding angles are congruent: True - A dilation is a similarity transformation in which the corresponding sides are …
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9. select whether each statement is true or false. a similarity transfo…
False for the first statement, False for the second statement, True for the third statement.
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8. which conclusion does the diagram support? a $\frac{bc}{ab}=\\frac{e…
B. \(\frac{AB}{BC}=\frac{ED}{FE}\)
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in parts (a)-(g), determine if the following pairs of triangles must be…
a. Yes, SAS, \(\triangle ABC\cong\triangle DEF\) b. No c. Yes, HL, \(\triangle ABD\cong\triangle CBD\) d. Yes, SSS, \(\triangle ABC\cong\triangle DCB\)
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5. quadrilateral quad is similar to quadrilateral pent. since the quadr…
dilation
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a company makes cones out of solid foam. each cone has a height of 15 i…
\(5652\)
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the triangles below have congruent side and angle marks. are the triang…
Yes, the triangles are congruent. The congruence statement is \(\triangle RLN\cong\triangle CAB\) by the SAS (Side - Angle - Side) congruence theorem.
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a company uses paper cups shaped like cones for its water cooler. each …
\(45\)
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translations: classwork 1. write three different translation rules for …
Three translation rules are \((x,y)\to(x - 2,y - 5)\), \((x,y)\to(x - 6,y - 3)\), \((x,y)\to(x - 2,y - 2)\)
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translations: classwork 1. write three different translation rules for …
The coordinates of \(Y'\) are \((3,9)\) and the coordinates of \(Z'\) are \((10,14)\)
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transformations: (rigid motion) date:______ classwork tell whether the …
1. Yes, it is a rigid motion (preserves side - lengths and angles). 2. Yes, it is a rigid motion (preserves side - lengths and angles). 3. Rotation; \(F'G'\) 4. Dilation; \(J'\) 4…
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3. what are the coordinates of the image of (2,4), where r(6, - 2) is t…
\((4,1)\)
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prompt: oger ceased to be a pig and became a hunter, so that the center…
The phrase "yawned emptily" uses personification to create a sense of desolation and lack of meaning. It indicates that the circle the boys made has lost its initial, perhaps more…
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2. does the transformation preserve distance? select yes or no. transfo…
- Rotation about \((2,3)\): Yes - Reflection across line \(y = x\): Yes - Dilation by factor \(0.5\): No
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graph this function. $f(x)=\\begin{cases}-5x + 5&\\text{if }x\\leq1\\\\…
Plot the points \((0,5)\), \((1,0)\) (closed - circle for \(y=-5x + 5\) at \(x = 1\)), and \((2,5)\) (and other relevant points). Draw the line \(y=-5x + 5\) for \(x\leq1\) (inclu…
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surface area cubes, prisms & pyramids 1 find the surface areas of these…
1) The surface area is \(184\mathrm{cm}^2\). 2) The surface area is \(1176\mathrm{in}^2\).
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solve for x and graph the solution. 2x² - 12x + 10 ≤ 0 plot the endpoin…
The solution of the inequality \(2x^{2}-12x + 10\leq0\) is \(1\leq x\leq5\). On the number - line, we plot closed circles at \(x = 1\) and \(x = 5\) (since the inequality includes…
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surface area cubes, prisms & pyramids 1 find the surface areas of these…
\(184\mathrm{cm}^2\)
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a. how are the diagrams alike? how are they different? b. how is findin…
a. Alike: Both are rectangles divided into smaller parts. Different: First has 4 columns shaded fully, second has 2 rows shaded partially. b. Alike: Use area formula (length × wid…
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solve the inequality and graph the solution on the line provided. -13 +…
Inequality Notation: \(x\geq - 1\) For the number line: Place a closed - circle at \(-1\) (because the inequality is \(\geq\)) and shade to the right of \(-1\) (since \(x\) is gre…
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from unit 2, lesson 9 1 1 1 1 a. how are the diagrams alike? how are th…
### Part a - **Alike**: Both use area - model with unit - length reference. - **Different**: First is fully - shaded \(2\times4\) square/rectangle grid, second is \(\frac{1}{3}\) …
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solve the inequality and graph the solution on the line provided. -5 - …
Inequality Notation: \(x\leq - 6\) For the number - line: Place a closed circle at \(-6\) (because the inequality includes equality, i.e., \(x = - 6\) is part of the solution) and…
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solve each problem. 7. rainfall in 90% of the last 30 years, the rainfa…
The absolute - value inequality is \(|x - 24|>6.5\). The solution is \(x<17.5\) or \(x>30.5\). To graph: - Draw a number line. - Put an open circle at \(x = 17.5\) and shade to th…
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grade 8: week of 10/14, math hw - day 2 directions: show all steps of y…
B. \((4,3)\), E. \((-4,-5)\)
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problem 6 here is triangle abc on the coordinate plane. here is your wo…
Center of dilation: \((-1,1)\) Scale factor: \(\frac{1}{3}\)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 16\) and \(y=50\)
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grade 8: week of 10/14, math hw - day 2 directions: show all steps of y…
B. \((4,2)\)
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solve the inequality and graph the solution on the line provided. 3x + …
Inequality Notation: \(x>5\). On the number - line, draw an open circle at \(x = 5\) (because \(5\) is not included in the solution set) and shade the line to the right of \(5\) t…
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given ( l parallel m parallel n ), find the value of ( x ).
\(x = 126\)
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answer attempt 1 out of 2 x = y =
\(x = 22\), \(y = 113\)
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when ( mparallel n ), find the value of ( x ).
\(x = 22\)
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question given ( m | n ), find the value of ( x ). answer attempt 1 out…
\(x = 21\)
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an electrician leans an extension ladder against the outside wall of a …
$25.1$
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given ( mparallel n ), find the value of x. answer ( x=)
\(24\)
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the angle of elevation to a nearby tree from a point on the ground is m…
$52.9$ feet
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from his eye, which stands 1.55 meters above the ground, jaxon measures…
$628.2$ meters
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question 7: > 2 segments that are parallel to (overline{dc}). (overline…
- 2 segments parallel to \(\overline{DC}\): \(\overline{AB}\) and \(\overline{HG}\) - 1 segment parallel to \(\overline{FG}\): \(\overline{BC}\) (or \(\overline{AE}\)) - 2 segment…
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from the observation deck of a skyscraper, marques measures a 67° angle…
\(445.3\)
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an electrician leans an extension ladder against the outside wall of a …
\(x\approx25.1\) feet
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question le: find mllpn if ∠3 is a right angle and ∠mpn ≅ ∠rpn
\(45^{\circ}\)