Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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explaining part of the proof of the triangle midsegment theorem to prov…
The length of \(\overline{GH}\) is half the length of \(\overline{KL}\).
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13 numeric 1 point if ( pq = qr ), ( overline{jk}=3x + 23 ) and ( lm = …
\(22\)
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determining relationships within a triangle points s, u, and t are the …
\(\frac{1}{2}QP = UT\), \(\overline{SU}\parallel\overline{RP}\)
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applying the side - splitter theorem what is the length of \\( \\overli…
\(10.5\)
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if jg = jf, gd = 13, and arc cd = 136°, find each measure. ed = type yo…
\(ED = 13\) \(CF = 6.5\) \(arc\ ED=136^{\circ}\) \(arc\ HD = 22^{\circ}\) \(arc\ CE=44^{\circ}\)
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solve for x and graph the solution. -(x + 4)(x - 5) > 0 plot the endpoi…
The solution of the inequality \(-(x + 4)(x - 5)>0\) is \(-4<x<5\). On the number - line, we plot open circles at \(x=-4\) and \(x = 5\) and shade the region between them.
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practice applying the side - splitter theorem, its converse, and the tr…
Yes, because \(\frac{16}{10}=\frac{24}{15}\) (The fourth option)
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if yu = yv, st = 16, arc qs = 34°, and arc rt = 98°, find each measure.…
\(QU = 8\) (Since \(ST = 16\) and \(QU=\frac{1}{2}QS\), and \(QS = ST\) (chords equidistant from the center are congruent)), \(QR = 16\) (chords equidistant from the center are co…
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applying the midsegment theorem if h is the midpoint of \\( \\overline …
\(HJ = 8\), \(JE=4\)
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if arc lm = (8x - 56)° and arc np = (5x + 22)°, find arc lp. answer
\(17^{\circ}\)
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solve for x and graph the solution. 3x(x + 3) < 0 plot the endpoints. s…
The solution of the inequality \(3x(x + 3)<0\) is \(-3<x<0\). On the number - line, we plot open circles at \(x=-3\) and \(x = 0\) and shade the region between them.
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name sss, sas, asa, aas determine which triangle congruence theorem can…
SSS (Side - Side - Side) congruence theorem. Because \(AB = CD\), \(AD = BC\), and \(AC\) is common. ### 2.
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proving the triangle midsegment theorem given: d is the midpoint of \\(…
slope of \( \overline{DE}=0 \); slope of \( \overline{BC}=\frac{0 - 0}{2a-0}=0 \); \( \overline{DE} \parallel \overline{BC} \) because their slopes are equal (both equal to \( 0 \…
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unit 3b: government and economics scenario 3 in bright city, neighbors …
- Scenario 3: Democracy - Scenario 4: Dictatorship - Scenario 5: Democracy - 6. A. To help choose who makes decisions for the country
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unit 3b: government and economics scenario 3 in bright city, neighbors …
A. To help choose who makes decisions for the country
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if arc ( lm=(8x - 56)^{circ} ) and arc ( np=(5x + 22)^{circ} ), find ar…
# Explanation: ## Step1: Use the theorem of arcs and angles The measure of an inscribed angle formed by two chords intersecting at a point on the circumference is half the sum of …
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task 1 two triangles on the graph, two right triangles have the line as…
\(\angle B\) and \(\angle D\)
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if de = gf, hj = 3x + 20 and ji = 15x - 64, find ji.
$41$
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10. seven more than the quotient of a number b and 45 is greater than 5…
First box: \(b\); Second box: \(7\); Circle: \(>\); Third box: \(\frac{b}{45}\); Fourth box: \(>\); Fifth box: \(-2\); Sixth box: \(b\); Seventh box: \(>\); Eighth box: \(-90\)
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conjecturing about quadrilaterals conjecture about the properties that …
- Both pairs of opposite sides will not be congruent. - The diagonals will not bisect each other.
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7 numeric 1 point if arc bc = (9x - 53)° and arc cd = (2x + 45)°, find …
\(214\)
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6 numeric 1 point if arc ( j k=(7 x - 39)^{circ} ) and arc ( m l = 87^{…
\(18\)
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5 numeric 1 point if arc uv = (8x - 17)° and arc wv = (5x + 52)°, find …
\(167\)
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recognizing relationships within a triangle given that \\overline{po} i…
\(\overline{OL}\)
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question 5 of 10 which of the following are right triangle congruence t…
A. Hypotenuse - angle (HA), B. Leg - angle (LA), C. Leg - leg (LL), D. Hypotenuse - leg (HL)
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question 4 of 10 based on the information marked in the diagram, \\( \\…
B. False
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question 3 of 10 based only on the information given in the diagram, wh…
B. AAS, D. HA
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5. the area of this rectangle is 36. which expression below describes t…
\(4\times9\)
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question 3 of 10 based only on the information given in the diagram, wh…
B. AAS, D. HA
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4. true or false? these two rectangles have the same perimeter. hint: t…
true
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if arc ad = 85° and arc bc = 31°, find the value of x. answer
\(x = 6\)
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applying the converse of the side - splitter theorem what value of x wo…
First blank: \(\frac{JM}{MN}\), second blank: \(x + 4\), third blank: \(20\), fourth blank: \(10\)
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name the marked angle in 2 different ways. answer attempt 1 out of 2
\(\angle T\), \(\angle STU\)
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question 2 of 10 based only on the information given in the diagram, wh…
A. HA, B. AAS, D. LL, F. LA
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question 4 of 10 the isosceles triangle theorem says \if two sides of a…
D. Draw \( \overline{TV}\) bisecting \( \angle T\), with \(V\) on \( \overline{SU}\), then prove \( \triangle STV\cong\triangle UTV\) using ASA.
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3. this rectangle has an area of 18 and a perimeter of 18 if horatio ad…
\(20\)
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what value of x would make km || jn? complete the statements to solve f…
\(x = 1.25\)
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question 3 of 10 the isosceles triangle theorem states that if two side…
B. opposite
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identify two segments that are marked congruent to each other on the di…
\( RQ \) is congruent to \( PO \)
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2. what is the area of the yellow shaded region?
42
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question 2 of 10 what is the measure of \\( \\angle e \\), in degrees? …
\(130^{\circ}\), so the answer is C.
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identify two angles that are marked congruent to each other on the diag…
\(\angle JIE\) is congruent to \(\angle GHF\)
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question 1 of 10 if two angles of a triangle are congruent, then the si…
A. True
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number of questions: 5 1. what is the area of this entire rectangle? en…
24
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write the coordinates of the vertices after a dilation with a scale fac…
The coordinates of the vertices after dilation are \(S'(-4,-5)\), \(T'(-4,1)\), \(U'(2,1)\), \(V'(2,-5)\)
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question 10 of 10 dora drew \\( \\triangle j k l \\) and \\( \\triangle…
D. Similar - SAS
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question 1 of 10 based only on the information given in the diagram, wh…
A. SAS, B. LA, D. LL, E. AAS, F. HL
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number of questions: 15 15. what is the area of a rectangle that has 6 …
18
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15. what is the area of a rectangle that has 6 tiles across and 3 tiles…
18
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given: \\( \\frac { a d } { d c } = \\frac { b e } { e c } \\) prove: \…
1. given 2. addition property 3. property of proportion 4. addition of fractions 5. segment addition 6. substitution property 7. reflexive property 8. SAS similarity theorem 9. de…
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14. what is the perimeter of a rectangle that has 6 tiles across and 3 …
18
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given: \\( \\frac { a d } { d c } = \\frac { b e } { e c } \\) prove: \…
The proof uses the SAS similarity theorem. First, start with the given \(\frac{AD}{DC}=\frac{BE}{EC}\), use the addition property of equality, segment addition postulate, substitu…
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write the coordinates of the vertices after a dilation with a scale fac…
\(C'(-10,-10)\), \(D'(10,-10)\), \(E'(10,0)\), \(F'(-10,0)\)
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given: ( \frac{ad}{dc}=\frac{be}{ec} ) prove: ( overline{ab}parallelove…
$AB\parallel DE$ is proved.
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write the coordinates of the vertices after a dilation with a scale fac…
\(B'(-12,-10)\), \(C'(6,-10)\), \(D'(8,-2)\), \(E'(-6,-2)\)
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use the circle below to find each measure given that hk = 30 and pm = 8…
\(PH = 17\) \(PN = 8\) \(MG = 15\)
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given: \\( \\frac { d c } { e c } = \\frac { a d } { b e } \\) prove: \…
$\angle1=\angle2$
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write the coordinates of the vertices after a dilation with a scale fac…
\(E'(-8,-8)\), \(F'(4,-8)\), \(G'(4,8)\), \(H'(-8,8)\)
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apply the side - splitter theorem complete the work to find the length …
\(5.5\)
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question 9 of 10 what is the length of \\( \\overline { p r } \\) ? a. …
A. 7
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x < - 7\) For the number line: Plot an open circle at \(-7\) (because the inequality is strict, \(x eq - 7\)) and draw an arrow to the left (since \(x\) is…
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question 8 of 10 is \\( \\triangle cow\\sim \\triangle pig \\)? if so, …
D. Cannot be determined
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question 7 of 10 is ( \triangle samsim\triangle fig )? if so, identify …
A. Similar - SAS
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let ( \triangle abccong\triangle def ). find ( mangle f ). ( mangle f=s…
\(31\)
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identify a pair of segments that are marked perpendicular to each other…
\(AC\) is perpendicular to \(BH\)
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if $\triangle gjkcong\triangle rqp$, choose the correct statement from …
A. \(\angle P\cong\angle K\)
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answer attempt 1 out of 2 overline{fg} is a perpendicular bisector. ove…
B. \(\overline{FG}\) is an angle bisector. C. \(F\) is the vertex of two angles that are congruent to one another.
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at an archeological site, the remains of two ancient step pyramids are …
53
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which of the following statements must be true based on the diagram bel…
\(\overline{ST}\) is a segment bisector, \(\overline{ST}\) is a perpendicular bisector, \(S\) is the vertex of a right angle.
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at an archeological site, the remains of two ancient step pyramids are …
\(42\)
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\leq5\) For the number - line: Plot a closed circle at \(x = 5\) (because the inequality is \(\leq\)) and draw a line to the left of \(5\) towards the nega…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\geq3\) For the number - line: Plot a closed circle at \(x = 3\) (because the inequality is \(\geq\)) and draw a line to the right of \(3\) towards positiv…
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which angle number represents $\\angle mrj$?
\(3\)
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given ( mparallel n ), find the value of x. answer attempt 1 out of 2 (…
\(x = 18\)
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question 6 of 10 kira drew \\( \\triangle p q r \\) and \\( \\triangle …
A. Similar - AA
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is pqrs similar to uvwx? justify your answer. yes, because a translatio…
No, because \(\angle R\) and \(\angle W\) do not have the same measure.
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given ( mparallel n ), find the value of x. answer attempt 2 out of 2 (…
\(x = 14\)
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the graph shows quadrilaterals pqrs and uvwx. is pqrs similar to uvwx? …
No, \(PQRS\) is not similar to \(UVWX\) because the ratios of their corresponding side - lengths are not equal.
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question 5 of 10 is \\( \\triangle t a g \\sim \\triangle b a g \\) ? i…
A. Similar - AA
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is pqrs similar to wxyz? justify your answer. yes, because a dilation b…
Yes, because a dilation by a scale factor of 2 centered at point \(P\) maps \(PQRS\) onto \(WXYZ\).
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is rstu similar to abcd? justify your answer. yes, because a rotation 1…
No, because \(\angle R\) and \(\angle A\) do not have the same measure.
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solve the inequality and graph the solution on the line provided. 7x + …
Inequality Notation: \(x > - 6\) To graph on the number - line: Place an open circle at \(-6\) (because the inequality is \(>\), not \(\geq\)) and draw an arrow to the right.
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is cdef similar to lmno? justify your answer. yes, because a translatio…
No, because \(\angle C\) and \(\angle L\) do not have the same measure.
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j is the midpoint of \\( \\overline { f h } \\) and \\( \\overline { g …
SAS
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the graph shows quadrilaterals efgh and lmno. is efgh similar to lmno? …
No, \(EFGH\) is not similar to \(LMNO\). Although the ratios of \(EF\) to \(LM\) and \(FG\) to \(MN\) are \(2:1\), the ratios of other corresponding sides (e.g., \(EH\) to \(LO\))…
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the graph shows triangles bcd and efg. is bcd similar to efg? justify y…
Triangles \(BCD\) and \(EFG\) are not similar.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\leq - 6\) For the number - line: Place a closed circle at \(x = - 6\) (because the inequality is \(\leq\)) and shade to the left of \(x=-6\) (since \(x\) …
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the graph shows triangles lmn and opq. is lmn similar to opq? justify y…
\(\triangle LMN\) is not similar to \(\triangle OPQ\) because the ratios of their corresponding side lengths are not equal.
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which rule explains why these triangles are congruent? m j g k h sas aa…
SAS
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the graph shows quadrilaterals opqr and defg. is opqr similar to defg? …
No, because the ratios of corresponding sides are not equal.
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the graph shows quadrilaterals hjk and rstu. is hjk similar to rstu? ju…
\(HIJK\) is not similar to \(RSTU\) because the ratios of their corresponding sides are not equal.
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which rule explains why these triangles are congruent? asa aas sss sas …
AAS
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using a two - way radio, melissa can talk to anyone within an 8 - mile …
\(x - coordinate=-4\) (a), \(y - coordinate=-4\sqrt{3}\) (b)
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a) the construction of creating the perpendicular bisector of \\( \\ove…
If the compass setting is less than half of \(PQ\), the arcs from \(P\) and \(Q\) will not intersect, and the perpendicular bisector cannot be constructed. If the compass setting …
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14. what is the perimeter of a rectangle that has 6 tiles across and 3 …
\(18\)
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13. what is the area of this rectangle? 12 35 16 24
\(24\)
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a) in the step shown of the construction of a line through a point that…
Placing the compass on \( A \) and \( B \) ensures symmetry (equal - distance from \( R \) on the given line) for the perpendicular construction. Random placement would lack this …
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select all the correct answers which sequences of transformations perfo…
a reflection across the \(x\) - axis, followed by a \(90^{\circ}\) counterclockwise rotation about the origin, and then a translation 5 units right.
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solve for x. 11 16 6 50
\(6\)
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what is the measure of angle b?
\(36^{\circ}\)