Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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b 81° a 117°
\(a = 63^{\circ}\), \(b = 27^{\circ}\)
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12. find the perimeter of the area model. what addition sentence repres…
The addition sentence \(7 + 7+5 + 5 = 24\) represents the perimeter of the rectangle.
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solve for (\triangle). (11 = 2(-14+\triangle)+7)
\(16\)
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given: ( y parallel z ) prove: ( mangle5 + mangle2 + mangle6 = 180^circ…
The proof is completed as shown in the steps above.
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11. what addition sentence represents the perimeter of a rectangle that…
\(2+2 + 5+5 = 14\) (the second option)
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60° 5x 60°
\(x = 12\)
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10. what is the area of a rectangle that is 2 tiles high and 3 tiles wi…
6
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9. what is the area of the shaded region?
The area of the shaded region is \(18\) unit².
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5. aki made a scale drawing of his home. the scale was 2 inches to 3 fe…
36 pies
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how is copying a line segment similar to copying an angle?
Both use a compass for measurement and replication.
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number of questions: 15 8. what is the area of this rectangle? check an…
\(18\)
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16 select the correct answer from each drop - down menu. complete the s…
First blank: \(90 -\)degree clockwise rotation about the origin; Second blank: \(90 -\)degree counterclockwise rotation about the origin.
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1. find the area. use 3.14 for pi and round your answer. 2. 09 m
El área del círculo es aproximadamente \(0.0254\) \(m^{2}\)
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instruction active proving the sum of the interior angle measures of a …
The proof is completed as shown in the steps above.
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the figure is a parallelogram. one diagonal measures 28 units. is the f…
No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
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jamie knows the lengths of 2 sides of a triangle are 8 and 12. use the …
\(4\lt s\lt20\) (the fourth option)
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rectangle pqrs is shown with its diagonals, pr and qs what type of tria…
isosceles triangle
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state the congruence relation for △bwo and △iro. use only the markings …
B. SAS
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in the accompanying diagram, lines \\( \\overleftrightarrow { a b } \\)…
\(40\)
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a rectangle has a width of 9 units and a length of 40 units. what is th…
41 units
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which statements are true of all squares? choose three correct answers …
- The diagonals are perpendicular. - The diagonals bisect the vertex angles. - The diagonals are congruent to each other.
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given ( abcdcong wxyz ). which side of ( wxyz ) is congruent to segment…
\(\overline{XY}\)
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select the correct answers. a pair of parallel lines is cut by a transv…
C. angles 1, 3, 5
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if you wanted to move triangle def to make it overlap perfectly with tr…
Translate \(-2\) units in the \(x\) direction.
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lines ( t _ { 1 } , t _ { 2 } ), and ( t _ { 3 } ) are parallel lines i…
\(136^{\circ}\)
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c) the construction of copying ∠qpr is started below. the next step is …
By the SSS (Side - Side - Side) congruence criterion. When we set the compass width to the length of \(AB\) (a chord of the arc in the original angle), and since the radius of the…
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solve for x and graph the solution. -(x - 4)(x + 5) ≤ 0 plot the endpoi…
The solution is \(x\leq - 5\) or \(x\geq4\). On the number - line, we plot closed circles at \(x=-5\) and \(x = 4\), and shade the regions to the left of \(x=-5\) and to the right…
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a square has a diagonal measuring ( 6sqrt{2} ) inches. what is the peri…
\(24\)
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1. find the area. use 3.14 for pi and round your answer. 5 km
\(78.5\) km²
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figure abcd is a parallelogram if abcd is also a rhombus, what must be …
\(13\)
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a rhombus lmno is shown with its diagonals. the length of ln is 28 cent…
\(14\) cm
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in the accompanying diagram, lines \\( \\overleftrightarrow { a b } \\)…
$x = 15$
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27 what is the relationship of lines \\( \\overline { a c } \\) and \\(…
Perpendicular lines
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a quilt piece is designed with four congruent triangles to form a rhomb…
The perimeter of the rhombus is 16 inches.; \(a = 60^{\circ}\); The length of the longer diagonal is approximately 7 inches.
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if two parallel lines are cut by a nonperpendicular transversal, which …
same - side interior angles
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solve each inequality and graph its sol 1) $-11\\geq6 - 2n - 5$
The solution of the inequality is \(n\geq6\). On the number line, there is a closed circle at 6 and an arrow pointing to the right.
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select all the correct answers which sequence of transformations proves…
A. a reflection across the \(x -\)axis, and then a translation \(6\) units right
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25 multiple choice 2 points state the congruence relation for \\( \\tri…
SSS
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1 abcd is a parallelogram 1 given 2 ∠amb, ∠bmc, ∠cmd and ∠dma are right…
\(\triangle AMB\cong\triangle BMC\cong\triangle CMD\cong\triangle AMD\)
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solve for x and graph the solution. -(x - 1)(x + 1) < 0 plot the endpoi…
The solution of the inequality \(-(x - 1)(x + 1)<0\) is \(x<-1\) or \(x>1\). On the number - line, we plot open circles at \(x=-1\) and \(x = 1\), and shade the regions to the lef…
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24 in the accompanying diagram, \\( \\overleftrightarrow { a f } \\) an…
$21$
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select the correct answer. triangle pqr is dilated by a scale factor of…
D. \(P''(9, - 12)\) and \(Q''(15, - 3)\)
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question 4 of 10 is \\( \\triangle a b c \\sim \\triangle x y z \\) ? i…
B. Similar - AA
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23 in (\triangle mnp), (mn = 10), (np = 12), and (mp = 11). determine t…
\(\angle M\)
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the figure shown is a rhombus. which equation is true regarding the ang…
\(x + y=z\)
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in this figure, lines ( l_1 ) and ( l_2 ) are parallel, and lines ( l_3…
\(60^{\circ}\)
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angles 1 and 3 are _? complementary right vertical supplementary
vertical
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question 3 of 10 is \\( \\triangle x y z \\sim \\triangle a b c \\) ? i…
C. Similar - AA
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in △xyz, m∠y = a + 65, m∠z = 7a + 35, and m∠y = m∠z. what is the shorte…
\(YZ\)
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question 1 of 10 what is the length of \\( \\overline { d e } \\)? a. 5…
B. 6
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a transversal crosses two parallel lines. which statement should be use…
Angles 1 and 8 are congruent as corresponding angles; angles 5 and 8 form a linear pair.
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solve for x and graph the solution. 4(x - 4)(x - 5) < 0 plot the endpoi…
The solution of the inequality \(4(x - 4)(x - 5)<0\) is \(4<x<5\). On the number - line, we plot open circles at \(x = 4\) and \(x = 5\) (because the inequality is strict, i.e., \…
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which of the following can be the lengths of the sides of a triangle? 4…
\(5,6,7\)
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16 $\triangle stv$ has vertices $s(-3,-2)$, $t(-4,3)$ and $v(-2,3)$. if…
\(S'(-1,-5)\), \(T'(-2,0)\), \(V'(0,0)\) (corresponding to the second option in the multiple - choice list)
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proving a rectangle has congruent diagonals given: abcd is a rectangle.…
6. \(AB\cong CD\) (opposite sides of a parallelogram are congruent); 7. \(\triangle BAD\cong\triangle CDA\) (by SAS: \(AB = CD\), \(\angle BAD=\angle CDA\), \(AD = DA\)); 8. \(AC\…
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15 in the triangles shown, what is the reason ( mangle a=mangle d )? ss…
CPCTC ($\triangle ABC\cong\triangle DEF$)
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14 refer to the figure below. if the triangle is reflected across the y…
\((4,3)\)
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10. construct a line parallel to line ab through point y.
A line parallel to \( AB \) through \( Y \) is constructed as described above.
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point p is reflected across the line ( x = y ). what are the coordinate…
\((3,0)\)
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proving a property of rhombi given: parallelogram lmno; \\( \\overline …
4. All right angles are congruent; 6. Reflexive property of congruence.
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on the graph shown, if point b were reflected across the x - axis, whic…
The first quadrant (I)
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congruent to side be because the diagonals of a square bisect each othe…
definition of perpendicular lines.
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11 multiple choice 2 points two sides of a triangle are 4cm and 11cm. t…
C. between \(7\mathrm{cm}\) and \(15\mathrm{cm}\)
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which of the following statements are true about the picture? select th…
A. The value of \(x\) is \(8\)
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question 10 of 10 which descriptions from the list below accurately des…
D. Congruent after a dilation
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10 ∠1 and ∠2 are called _________. vertical angles complementary angles…
supplementary angles
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proving properties of a square given: abcd is a square. prove: (overlin…
First box: \(AB\), Second box: reflexive property, Third box: \(BE\), Fourth box: \(SSS\)
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question 10 of 10 which descriptions from the list below accurately des…
D. Congruent after a dilation
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in parallelogram (abcd), (mangle adc = 100) and (overline{ae}) bisects …
A. isosceles
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question 9 of 10 what is the scale factor from \\( \\triangle a b c \\)…
D. 1
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applying properties to find missing measures for rhombus lmno, ( mangle…
The measure of \(\angle PMN\) is \(39^{\circ}\)
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point b is reflected across the line ( x = -y ). what are the coordinat…
\((0,4)\)
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how many congruent triangles are formed by connecting the midpoints of …
C. 4
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question 8 of 10 which descriptions from the list below accurately desc…
A. Same shape, B. Congruent, C. Similar, D. Same size
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applying properties to find missing measures for rhombus lmno, ( mangle…
The measure of $\angle LPM$ is $90^{\circ}$. The measure of $\angle PMN$ is $39^{\circ}$. The length of $LN$ is $10$ units.
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if △jlk is rotated 180 degrees about the origin, what will be the coord…
C. \( (2,-4) \)
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reflect the point $(-4,1)$ across the line $y = -2$, then translate it …
A. \((-4,-5),(1,-5)\)
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identifying properties of a rectangle which characteristic guarantees t…
The diagonals are congruent.
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question 7 of 10 what is the scale factor from \\( \\triangle a b c \\)…
D. 5
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in the accompanying diagram, (overline{bd}) bisects acute angle (abc) a…
isosceles
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solving for missing measures what value of ( x ) will make parallelogra…
\(x = 34\)
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9) determine if 70° and 430° are coterminal.
Yes, \(70^{\circ}\) and \(430^{\circ}\) are coterminal.
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what is the image of point a after a rotation of 90° in the countercloc…
\(B\)
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which statements are true? select all that apply a. slope of \\( \\over…
A. slope of \(\overline{EC}=\) slope of \(\overline{CB}\), B. slope of \(\overline{DE}=\) slope of \(\overline{AC}\)
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if this triangle were reflected about the x - axis, what would be the c…
\((3,-5)\)
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what is the image of point ( a(2,-3) ) after these three transformation…
\(C\)
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question 5 of 10 dilating a triangle changes the size of the triangle b…
A. True
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solving for missing measures what value of x will make parallelogram ab…
# Explanation: ## Step1: Recall the property of a rhombus In a rhombus, the diagonals are perpendicular bisectors of each other. For a parallelogram to be a rhombus, the adjacent …
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a paper clip is shown on the graph. the distance from a to b represents…
\((8,0)\)
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solving for side lengths of rectangles abcd is a rectangle. use the dia…
The length of \(AB\) is \(12\), the length of \(BC\) is \(5\), and the length of \(AC\) is \(13\).
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which of the following sets of numbers could represent the three sides …
\(\{8,12,18\}\)
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which of the following sets of numbers could represent the three sides …
\(\{6,18,22\}\)
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which statements are correct? select all that apply a. if both lines ar…
B. If both lines are reflected across the \(y -\)axis, they will be parallel to each other; D. If both lines are rotated \(180^{\circ}\) counterclockwise about the origin, they wi…
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solving problems using special parallelograms what value of m would mak…
\(m = 2\)
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which of the following sets of numbers could represent the three sides …
\(\{6,14,18\}\)
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using the correct terms to complete the pairs. not all terms will be us…
- Angles 1 and 3: vertical angles - Angles 2 and 4: alternate interior angles - Angles 1 and 5: corresponding angles - Angles 2 and 3: adjacent angles
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which of the following sets of numbers could represent the three sides …
\(\{6,12,15\}\)
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question 3 of 10 what is the scale factor from \\( \\triangle a b c \\)…
C. \(\frac{1}{6}\)
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given ( m parallel n ), find the value of ( x ).
\(x = 33\)
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quadrilateral abcd is rotated ( 270^{circ} ) clockwise about the origin…
C.