Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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applying the angle addition postulate if ( mangle bgf = 152^{circ}), wh…
\(64^{\circ}\)
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what is the value of s?
\(37\)
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what is the value of w?
\(48\)
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an angle measures 94° less than the measure of its supplementary angle.…
\(43\) and \(137\)
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what is the value of z?
\(29\)
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an angle measures 88° less than the measure of its complementary angle.…
\(1\) and \(89\)
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quiz#2 graph this two points. ① $(3,0)$ and $(0,4)$ ② $(2,0)$ and $(0,5…
To graph each pair of points: - For \((3,0)\) and \((0,4)\): Place a dot at \(x = 3,y = 0\) (on the \(x -\)axis) and \(x=0,y = 4\) (on the \(y -\)axis). - For \((2,0)\) and \((0,5…
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find the area of the shape. (sides meet at right angles.)
\(32\)
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a parallelogram has a base of 9 and a height of 11. find its area.
99
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2.) triangle abc is dilated. the dilated image is \\( \\triangle a ^ { …
\(x = 2\)
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which interval is crucial in forming the circle of fifths? a. perfect f…
C. Perfect fifth
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find the perimeter, include the unit.
\(60\space cm\)
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cooldown 5.4 missing length pw 10ptswhat must be true about segment mn?…
\(2\)
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the measure of an angle is seventeen times the measure of its supplemen…
\(10\) and \(170\)
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write the simplified expression for the rectangles perimeter. -9x - 2 -…
\(-20x + 4\)
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find the area of this rectangle. 9 ft 13 ft 78 ft²
\(117\) \(ft^{2}\)
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a right circular cylinder has a height of 16 inches and a volume of 5,1…
\(18\)
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what is the value of k?
\(66\)
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find the area of this rectangle.
\(78\)
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find the value of x. 100° (4x + 1)° (5x)° g d x =
\(x = 101\)
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find the value of x. 171° p u t (x + 3)° (3x)° q r s x =
\(x = 42\)
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the of fifths organizes the 12 tones of the chromatic scale into a cohe…
1. Circle 2. perfect 3. arithmetic 4. Fifths 5. twelve - tone technique
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the perimeter of the triangle below is 52 units. find the length of sid…
\(4\)
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write an equation of a circle with diameter ab. a(1,1), b(7,7) choose t…
H. \((x - 4)^2+(y - 4)^2=18\)
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look at the diagram. which equation can be used to solve for x? 3(x + 5…
The equation is \(3(x + 5)=180\) and \(x = 55\)
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write an equation of a circle with diameter ab. a(2,2), b(14,14) choose…
A. \((x - 8)^{2}+(y - 8)^{2}=72\)
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instructions choose the best answer. if necessary, use the paper you we…
\(225\pi\) (the third option)
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find the equation for the circle with center (4,5) and passing through …
D. \((x - 4)^2+(y - 5)^2=2\)
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use the pythagorean theorem to find the length of the hypotenuse of the…
\(20.62\)
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10 what is the rule for the transformation above? a. ( f(x,y)=(x,-y) ) …
A. \(f(x,y)=(x, - y)\)
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instructions choose the best answer. if necessary, use the paper you we…
\(2200\) (the fourth option)
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find the perimeter. include the unit.
\(44\) yd
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use the pythagorean theorem to find z. leave your answer as a simplifie…
\(z\approx17.69\)
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the wheel in the adjacent figure has a radius of 65 feet. the clearance…
\(x^{2}+(y - 78)^{2}=4225\)
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find the perimeter. include the unit. 1 2 3 4 5 6
42 yd
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what is the rule for a counterclockwise rotation of 270° about the orig…
B. \(f(x,y)=(y, -x)\)
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or as a decimal rounded to the hundredths place. draw show your work he…
\(z\approx17.69\)
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part 3: angle addition & bisectors 4. if ( mangle abc = 3x + 5 ) and ( …
\(x = 8\) and \(m\angle ABC=29^{\circ}\)
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you start at (-1, 1). you move down 4 units and up 3 units. where do yo…
\((-1,0)\)
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use the pythagorean theorem to find x. leave your answer as a simplifie…
\(x = 4\sqrt{15}\approx15.49\)
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part 3: angle addition & bisectors 4. if ( mangle abc = 3x + 5 ) and ( …
\(x = 5\) and \(m\angle ABC=52^{\circ}\)
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fill in the blank so that the resulting statement is true. the equation…
general
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you start at (4,5). you move left 8 units and right 3 units. where do y…
\((-1,5)\)
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fill in each blank so that the resulting statement is true. the standar…
\((x - h)^2+(y - k)^2=r^2\)
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1. surprise - your grandma gave you $100 for your birthday! how do you …
40% in Needs, 30% in Wants, 30% in Savings. (The pie - chart can be drawn with the central angles calculated above. For example, use a protractor to measure \(144^{\circ}\) for th…
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pentagon abcde is shown on the graph. draw the resulting image after it…
Plot the points \((4,-6)\), \((2,-5)\), \((2,-2)\), \((7,-3)\), \((6,-5)\) and connect them to get the required pentagon.
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12. classify each pair of angles as vertical, complementary, supplement…
1. Supplementary, linear pair 2. Vertical 3. Others 4. Supplementary, linear pair 5. Others 6. Vertical 7. Vertical 8. Complementary 9. Supplementary
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which of the following transformations will always produce a congruent …
B. rotation
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look at the diagram. which equation can be used to solve for x? 22x = 9…
\(x = 18\)
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12. classify each pair of angles as vertical, complementary, supplement…
a. Sometimes b. Always c. Never
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what is the rule for the transformation from the smaller polygon to the…
A. \(f(x,y)=(3x,3y)\)
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5 what is the rule for the transformation shown above? oa. f(x,y)=(x + …
A. \(f(x,y)=(x + 3,y - 7)\)
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two transformations are applied to the triangle abc in the grid. abc is…
D. The horizontal stretch neither preserves the distances between points in the original shape nor preserves the angles formed by the sides. The reflection preserves distances as …
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which of the following sequences of transformations will carry rectangl…
C. Translate rectangle A 7 units down, rotate it \(180^{\circ}\) about the point \((2,6)\), and translate it 6 units to the left.
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what is the measure of each interior angle of a regular octagon? 60° 13…
B. \(135^{\circ}\)
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determine whether any of the lines in each figure are parallel or perpe…
\(m(\overrightarrow{PQ})=\frac{3}{2}\), \(m(\overrightarrow{RS})=\frac{3}{2}\), Types of Lines: Parallel ### 5.
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what is the sum of the measures of the interior angles of a 12 - gon? 2…
\(1800^{\circ}\)
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using modular arithmetic, if you start on a (represented as 0) and move…
a. G
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the circle of semitones is used to illustrate relationships between: a.…
B. Notes
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directions: select all the correct locations on the coordinate plane. t…
\(A'(1,-1)\), \(B'(4,3)\), \(C'(-2,0)\)
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this painted trillium, known as the smiling wake robin, is found from i…
\(3\)
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this vinca minor, or lesser periwinkle, found in central and southern e…
\(5\)
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what is the area of the rhombus? 24 square units 18 square units 48 squ…
24 square units
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what is the order of rotational symmetry for each figure? this yellow p…
\(2\)
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a kite is inscribed in a square with a side length of 9 units. what is …
40.5 square units
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(d) problem 22: (first taught in lesson 52) find x in parallelogram dle…
\(x = 18\)
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he area of a rhombus is 65 square units. the length of one diagonal is …
10 units
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5 which transformations preserve congruence of shapes? select all that …
Translation, Rotation, Reflection.
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the area of a rhombus is 85 square units. the length of one diagonal is…
\(8\) units
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4. what is the smallest angle of rotation needed to rotate this figure …
\(45^{\circ}\)
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the diagonal of a square is ( x ) units. what is the area of the square…
\(\frac{1}{2}x^{2}\) square units
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problem 20: (first taught in lesson 24) if a = 69, find e. after you en…
\( 111 \)
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problem 19: (first taught in lesson 31) find z. after you enter your an…
\(z = 130\)
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a kite has vertices at (2,4),(5,4),(5,1), and (0, - 1). what is the app…
16.8 units
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find the measures of the angles of a triangle with angles that are in t…
The measures of the angles are \(45^{\circ}\), \(60^{\circ}\), and \(75^{\circ}\), and it is an acute triangle.
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what is the area of the trapezoid? 24 square units 32 square units 16 s…
24 square units
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figure abcd is a kite. the area of abcd is 48 square units. the length …
12 units
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problem 17: (first taught in lesson 30) find the measures of the angles…
\(42^{\circ},69^{\circ},69^{\circ}\)
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a of the trapezoid is 40 square units. what is the height of the trapez…
5 units
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a company designs a logo using a kite figure around the letter t. the l…
96 sq. cm
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(c) problem 16: (first taught in lesson 52) from this given statement, …
The property of a parallelogram (specifically, the property that opposite angles of a parallelogram are congruent) justifies the prove statement.
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from this given statement, select the definition, property, postulate, …
The Side - Angle - Side (SAS) postulate justifies that \(\triangle CKY\cong\triangle YJC\).
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(b) problem 14: (first taught in lesson 49) in △abc, ∠a is obtuse. whic…
\(BC\)
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problem 13: (first taught in lesson 49) in △mbv, m∠m < m∠v and m∠b > m∠…
\(\angle B\)
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(a) problem 12: (first taught in lesson 49) in \\( \\triangle jfr, m \\…
\(JF\)
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problem 11: (first taught in lesson 48) select whether the statement be…
A. converse
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if a quadrilateral is not a parallelogram, then both pairs of its oppos…
B. inverse
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problem 9: (first taught in lesson 51) complete this sentence by select…
B. sometimes
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problem 8: (first taught in lesson 51) complete this sentence by select…
A. always
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problem 7: lesson 50) select all of the consecutive and opposite angles…
A. Consecutive angles: \(\angle P\) and \(\angle R\), \(\angle T\) and \(\angle D\); Opposite angles: \(\angle D\) and \(\angle P\), \(\angle R\) and \(\angle T\)
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select all of the consecutive and opposite sides of quadrilateral dprt.…
Consecutive sides: \(\overline{DP}\) and \(\overline{PR}\), \(\overline{PR}\) and \(\overline{RT}\), \(\overline{RT}\) and \(\overline{DT}\), \(\overline{DT}\) and \(\overline{DP}…
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complete this sentence. the sum of the measures of the angles of any qu…
\(360^{\circ}\)
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problem 4: (first taught in lesson 52) complete this sentence with the …
D. Consecutive
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you start at (4,8). you move right 4 units and up 2 units. where do you…
\((8,10)\)
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problem 3 lesson 51) complete this sentence with the best of the choice…
B. base angles
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given: parallelogram dfgj, dj > df prove: m∠gjf > m∠djf 4. click here t…
4. \(DJ > DF\) (Given), in \(\triangle DJF\), \(\angle DGF>\angle DJF\) (converse of the triangle - angle relationship: larger side opposite larger angle), \(DF\parallel GJ\) (pro…
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you start at (8,6). you move down 5 units and up 4 units. where do you …
\((8,5)\)
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problem 24 clear statements reasons given: parallelogram dfgj, dj > df …
1. Parallelogram DFGJ, DJ > DF 2. In a triangle, the larger side is opposite the larger angle 3. Opposite sides of a parallelogram are parallel
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there is a triangle abc. m is \\( \\frac { 1 } { 3 } \\) of the way fro…
Center of dilation: \(A\); Scale factor: \(\frac{1}{3}\)
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problem 23 clear given: abcd and afgh are parallelograms. prove: ∠g ≅ ∠c
1. \(ABCD\) and \(AFGH\) are parallelograms. 2. \(\angle A\cong\angle C\) (opposite angles of parallelogram \(ABCD\) are congruent); \(\angle A\cong\angle G\) (opposite angles of …