Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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solve the inequality. (a) (k - 14leq - 10) (b) graph the inequality.
(a) $k\leq4$ (b) On the number - line, draw a closed circle at 4 (because the inequality includes equality, i.e., $\leq$) and shade the line to the left of 4.
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1. dilate abcd by a scale factor of 2. pre - image a(-2,-1) b(-2,2) c(1…
For rectangle \(ABCD\): Pre - image: \(A(-4,-2)\), \(B(-4,2)\), \(C(1,2)\), \(D(1,-2)\) Image: \(A'(-8,-4)\), \(B'(-8,4)\), \(C'(2,4)\), \(D'(2,-4)\) Algebraic rule: \((x,y)\to(2x…
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each circle counts as one whole. write a mixed number giving the amount…
# Explicación: ## Paso 1: Contar círculos completos Hay 2 círculos completos. ## Paso 2: Contar partes de círculo El tercer círculo tiene 1 de 3 partes sombreadas. ## Paso 3: Escr…
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a = \\frac{1}{2}bh. what are the actual base and height of the trampoli…
Actual base = 10 ft Actual height = 12 ft
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what is the formula for finding the area of a triangle? $a = 2bh$ $a=\f…
$A = \frac{1}{2}bh$
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vocabulary in context: literary text. some of the words you have studie…
1. a. poor 2. c. dreary 3. b. horrible 4. b. overly neat 5. b. an insult 6. c. scornfully mocking
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could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes,…
no, because the hypotenuses must have different lengths
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what number can you multiply each length in the scale drawing by to fin…
Actual length = 12 ft Actual width = 6 ft
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what number can you multiply each length in the scale drawing by to fin…
3
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2. dilate efg by a scale factor of $\frac{2}{3}$. pre - image image alg…
Pre - image: \(E(3,3)\), \(F(4,9)\), \(G(9,3)\) Image: \(E'(2,2)\), \(F'(\frac{8}{3},6)\), \(G'(6,2)\) Algebraic rule: \((x,y)\to(\frac{2}{3}x,\frac{2}{3}y)\)
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what number can you multiply each distance in the scale drawing by to f…
50000
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what number can you multiply each distance in the scale drawing by to f…
3
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solve the absolute value inequality. other than ∅, use interval notatio…
C. \((-\frac{4}{7},\frac{12}{7})\) and the graph has open - circles at \(-\frac{4}{7}\) and \(\frac{12}{7}\) with shading in between.
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which pair of triangles can be proven congruent by the hl theorem?
The second pair of triangles (the pair with two right - triangles where the hypotenuses are marked congruent and one leg is marked congruent)
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what number can you multiply each length on the map by to find the actu…
1. $\frac{1}{2}$ 2. $1.25$ mi
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the triangles are necessarily congruent. for each of the first three bo…
$\triangle NOP\cong\triangle DCB$ by SAS
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what number can you multiply each length on the map by to find the actu…
The number to multiply each length on the map by is 2. The actual distance from Oscar's campsite to the beach is 5 mi.
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in 1 - 2, record the coordinates of the pre - image. then, multiply the…
|PRE - IMAGE|IMAGE| |----|----| |$A(-2,1)$|$A'(-4,2)$| |$B(1,1)$|$B'(2,2)$| |$C(1,-1)$|$C'(2,-2)$| |$D(-2,-1)$|$D'(-4,-2)$| Algebraic rule: $(x,y)\to(2x,2y)$
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what number can you multiply each length on the map by to find the actu…
1.5
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15. the perimeter of a rectangle is at most 24 cm. two opposite sides a…
The possible lengths of the other two sides are any real - numbers $x$ such that $0 < x\leq8$ cm.
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a traffic sign is triangular with a base of 39 inches and a height of 3…
$0.43$
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what number can you multiply each length in the scale drawing by to fin…
1. The number to multiply each length in the scale drawing by is 5. 2. The actual length of the east side of the motel is 10 yd.
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what number can you multiply each length in the scale drawing by to fin…
5
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determine the area of the kite shown to the right. the area of the kite…
$45.5$
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right triangle congruence sample response: since these are right triang…
The Pythagorean theorem says that the third sides are congruent. The Pythagorean theorem and SSS prove that the triangles are congruent. The Pythagorean theorem and SAS prove that…
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the triangles are necessarily congruent. for each of the first three bo…
The triangles are necessarily congruent. Reasons for the statements could be: 1. $NO = DC$ (Given, based on side - length markings) 2. $OP=CB$ (Given, based on side - length marki…
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determine the area of the kite shown to the right. the area of the kite…
22 ft²
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directions: given the diagram below, determine whether the angle pars a…
6. A. Corresponding 8. E. No Relationship 9. E. No Relationship 11. E. No Relationship 12. C. Alternate Ext. 13. A. Corresponding 15. E. No Relationship 17. E. No Relationship 18.…
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what congress does use page 18 of the student text to complete the work…
1. D. all of the above 2. A. Congress 3. C. makes 4. C. government agency 5. D. all of the above
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determine if the two triangles are necessarily congruent. if so, fill i…
The two triangles are congruent by the SAS congruence criterion.
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determine the area of the kite shown to the right. the area of the kite…
$55$
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in 1 - 2, record the coordinates of the pre - image. then, multiply the…
| PRE - IMAGE | IMAGE | |----|----| | $A(-3,1)$ | $A'(-6,2)$ | | $B(1,1)$ | $B'(2,2)$ | | $C(1,-1)$ | $C'(2,-2)$ | | $D(-3,-1)$ | $D'(-6,-2)$ | Algebraic rule: $(x,y)\to(2x,2y)$
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dilations on the coordinate plane dilating graphed figures · to dilate …
To dilate a figure on the coordinate plane, multiply the x and y values of each ordered pair by the given scale factor. If the scale factor is greater than one, it will enlarge th…
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the triangles are necessarily congruent. for each of the first three bo…
The first box: $\angle A\cong\angle M$, Reason: GIVEN The second box: $\angle Z\cong\angle N$, Reason: GIVEN The third box: $AZ\cong MN$, Reason: GIVEN For $\triangle LMN\cong\tri…
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graphing inequalities graph the inequality: 1) x≥ - 2 2) x < 5 3) x≤6 4…
The graphs are as follows: 1. For $x\geq - 2$, a closed - circle at - 2 and shading to the right on the number line. 2. For $x < 5$, an open - circle at 5 and shading to the left …
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use page 18 of the student text to complete the worksheet. choose the a…
1. Congress 2. bill 3. congressional oversight 4. legislative 5. three 6. constituents 7. vote 8. law 9. investigation 10. oversight
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41. if a rectangle is drawn in the first quadrant and reflected over th…
B. II
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question 11 1 pts solve the linear inequality. other than ∅, use interv…
The solution set in interval notation is $(5,\infty)$. On a number line, we have an open circle at 5 and an arrow pointing to the right.
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the triangles are necessarily congruent. for each of the first three bo…
First box: $\overline{AB}\cong\overline{ON}$, Reason: GIVEN Second box: $\overline{BC}\cong\overline{NM}$, Reason: GIVEN Third box: $\overline{AC}\cong\overline{OM}$, Reason: GIVE…
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40. given the function f(x)=6(3x - 5), if f(x)=42, what is x? a 3 b 4 c…
40. B. 4 41. B. II
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consider this figure. enter the total area, in square feet, of the tria…
12
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consider this figure. enter the total area, in square centimeters, of t…
$4$
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find m∠feg. answer attempt 1 out of a m∠feg =
$46^{\circ}$
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find m∠qpr answer attempt 2 out of 2 m∠qpr = submit answer watch video …
$58^{\circ}$
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question find m∠qpr answer attempt 1 out of 2 m∠qpr =
$59.5^{\circ}$
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problem set 1: triangle sum and exterior angle theorems determine the m…
$50^{\circ}$
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you can use the formula a = 6s² to find the surface area of a cube with…
600 in²
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the triangles are necessarily congruent. for each of the first three bo…
Yes, because by SSS (Side - Side - Side) congruence criterion, since \(AB = MN\), \(BC = NO\) and \(AC=MO\) (given), \(\triangle MNO\cong\triangle CBA\).
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question find m∠qpr answer attempt 1 out of 3 m∠qpr =
$59.5^{\circ}$
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find m∠oqp. answer attempt 2 out of 2 m∠oqp =
$67.5$
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properties of isosceles triangles (diagram) question find m∠oqp. answer…
$41$
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solve for interior angles - triangle (level 2) question the measures of…
14
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videos for interior angles - triangle (level 2) question the measures o…
8
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1. name two pairs of alternate interior angles. 2. what is the relation…
3. Linear Pair Postulate 4. Corresponding Angles Postulate
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in the cube shown below, which planes intersect? cdg and efi ghi and cd…
C. DEH and CDE
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in the triangular prism shown below, which planes intersect? select all…
MNP and LMN, LMO and LNO, LNO and LMN, LMO and LMN
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8th grade math course: 8th grade math > unit 6 lesson 3: rotations dete…
90° clockwise, 90° counterclockwise, 180°, 270° clockwise
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in the triangular prism shown below, which lines are intersecting?
$\overleftrightarrow{MO}$ and $\overleftrightarrow{NO}$
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find the value of x. 5. (3x + 6)° 81° 6. (6x - 11)° 155° 8. (4x + 60)° …
For problem 5: \(x = 25\) For problem 6: \(x=\frac{83}{3}\) For problem 8: \(x=-15\)
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in the square pyramid shown below, which lines are parallel?
\(\overrightarrow{LO}\) and \(\overrightarrow{MN}\)
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abcd is a square. given abcd≅abcd, describe a pair of rigid motions tha…
D. Translation 6 units up, translation 6 units left
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find the value of x. 5. 81° (3x + 6)°
$x = 25$
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given △qrs ≅ △qrs, describe a pair of rigid motions that maps △qrs to △…
D. Reflection across the y - axis, translation of 6 units down
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given △qrs ≅ △qrs, describe a pair of rigid motions that maps △qrs to △…
A 180° rotation about the origin followed by a translation.
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in the rectangular prism shown below, which planes are parallel? i h e …
BEF and DEH
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in the square pyramid shown below, which lines are intersecting? select…
$\overleftrightarrow{PT}$ and $\overleftrightarrow{RT}$
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if $overline{de}paralleloverline{bc},angle bcongangle c$, and $mangle a…
The sum of the measures of the interior angles of trapezoid $BDEC$ is $360^{\circ}$
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in the rectangular prism shown below, which lines are intersecting? ij …
$\overleftrightarrow{FJ}$ and $\overleftrightarrow{IJ}$
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error analysis on a math test the students are given a right triangle. …
The measure of the other acute angle is \(59^{\circ}\) B. The student subtracted the sum of the two given angles from 360°
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dar un nombre apropiado para el ángulo indicado. respuesta: ∠
# Explicación: ## Paso 1: Identificar los rayos que forman el ángulo Los rayos son $\overrightarrow{OQ}$ y $\overrightarrow{OT}$. ## Paso 2: Nombre del ángulo Se nombra un ángulo …
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in the cube shown below, which lines are intersecting? cf and cg ei and…
$\overleftrightarrow{CF}$ and $\overleftrightarrow{CG}$
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two streets are parallel as they pass through columbus avenue. find the…
m∠1 = 116°, m∠2 = 64°
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think about the process arman is building a bench. the bench comes out …
\(39.6\)
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1.4 práctica de nombrar ángulos dar un nombre apropiado para el ángulo …
# Explicación detallada: ## Paso 1: Identificar el vértice El vértice del ángulo es el punto donde se intersectan los rayos. En este caso, el vértice es el punto $J$. ## Paso 2: N…
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8th period 2 - 3 mathxl for school: practice & problem - solving copy 1…
\(m\angle2 = 25^{\circ}\)
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in the triangular prism shown below, which planes are parallel? select …
JKL and GHI
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a vase is in the shape of a rectangular prism. it has a base area of 40…
D. 5600 in³
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which triangle is similar to △abc? (triangles are not drawn to scale)
B.
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which statement is true? a three points are never collinear. b three po…
D. Three points are always coplanar.
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5th period 2 - 3: mathxl for school: practice & problem - solving copy …
$m\angle1 = 66^{\circ}$, $m\angle2 = 87^{\circ}$
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1.4 práctica de nombrar ángulos dale un nombre apropiado al ángulo. res…
$\angle FRZ$ o $\angle ZRF$
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what is the length of the hypotenuse? 18 cm 6 cm (not drawn to scale) a…
B. \(6\sqrt{10}\mathrm{cm}\)
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for the figure shown, find m∠1 and m∠2. m∠1=□° (the figure is not drawn…
61
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△efg≅△rst. find st. e 2x g 2x - 1 f r 3x - 2 t (not drawn to scale) a 2…
D. 4
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5th period 2 - 3: mathxl for school: practice & problem - solving copy …
61
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for the figure shown, find m∠1 and m∠2. (the figure is not drawn to sca…
61
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what is the volume of the rectangular prism? 3.6 m 3.6 m 0.9 m (not dra…
B. $11.664$ m³
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how high up the wall does the ladder touch? 13.9 12 144 194
12
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in the square pyramid shown below, which lines are skew? select all tha…
$\overleftrightarrow{NR}$ and $\overleftrightarrow{OP}$, $\overleftrightarrow{NR}$ and $\overleftrightarrow{PQ}$, $\overleftrightarrow{QR}$ and $\overleftrightarrow{NO}$, $\overle…
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what is the volume of the rectangular prism? 3.6 m 3.6 m 0.9 m (not dra…
B. $11.664$ $m^{3}$
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in the cube shown below, which lines are intersecting? nr and lm pq and…
$\overleftrightarrow{LM}$ and $\overleftrightarrow{LP}$
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what is the distance from the base of the house to the base of the ladd…
5 m
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what type of angles are ∠12 and ∠14? a same - side interior angles b co…
C. same - side exterior angles
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you add a^2 and c^2 then take the square root to find b on a right tria…
false
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a = 2.1, b = 7.2, c = 7.5. is this a right triangle?
yes
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the pythagorean theorem is a2 + b3 = c4 false true
false
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if a triangle has a side a = 5 and b = 12, what is c? 169 17 13 10
13
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what is the formula for finding the hypotenuse? a + b = c a - b = c c -…
\(a^{2}+b^{2}=c^{2}\)
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you add a² and b² then take the square root to find c on a right triang…
true
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find the length of the missing side.
48 in.