Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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1. |r| ≤ 3
The solution of the inequality \(|x|\leq3\) is \(-3\leq x\leq3\). On the number line, we have closed - circle at \(-3\) and \(3\) and the region between them is shaded.
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use the image to answer the question. what additional piece of informat…
\(\overline{KL}\cong\overline{MN}\)
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the sss congruence theorem quick check what does the sss congruence the…
If two triangles have three pairs of congruent sides, then the triangles are congruent.
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exit ticket 💰 seal the deal! $2 summary directions: • each word costs …
When reflecting a point \((x,y)\) across the \(x\) - axis, use the rule \((x,y)\to(x, - y)\). When reflecting a point \((x,y)\) across the \(y\) - axis, use the rule \((x,y)\to(-x…
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e. in the diagram, transversal ( t ) intersects parallel lines ( m ) an…
1. \(m\angle1 = 74^{\circ}\) 2. \(m\angle2 = 106^{\circ}\) 3. \(m\angle3 = 74^{\circ}\) 4. \(m\angle8 = 106^{\circ}\) 5. \(m\angle5 = 106^{\circ}\) 6. \(m\angle7 = 106^{\circ}\)
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extra practice level up your skills! 1. identify the type of rigid moti…
1. Reflection 2. The \(y -\)coordinate changed from \(-2\) to \(2\); therefore, the point was reflected across the \(x -\)axis.
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extra practice level up your skills! 1. identify the type of rigid moti…
The point \(A=(5,2)\) is reflected across the \(x -\)axis.
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9. figure efgh in the coordinate plane has vertices at (-5,2), (-5,-2),…
\(16\)
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example 2 check your turn! triangle jkl has coordinates j(2, -8), k(6, …
A. \(J'(2,8)\), \(K'(6,7)\), \(L'(4,2)\)
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m example 2 (continued) reflection in the x - or y - axis check the ima…
If a point has coordinates \((x,y)\), its reflection over the \(y\) - axis has coordinates \((-x,y)\).
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justus wants to explain why \\( \\triangle a b c \\cong \\triangle a b …
Option #1
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which of the following triangles are congruent by the sss congruence th…
Triangle #1 and Triangle #3 are congruent.
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example 2 (continued) reflection in the x - or y - axis part b reflect …
The image of the triangle will be in the \(II\) and \(III\) quadrants. \(A'(-3,2)\), \(B'(-2,-2)\), \(C'(-4,-5)\)
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show a solution to |r| < 4 share your response with your classmates dis…
The solution of \(|r|<4\) is \(-4 < r < 4\). If we consider the number - line in the problem: - Points: If there are no open circles at \(-4\) and \(4\), then the representation o…
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in a reflection each point of the preimage and its corresponding point …
If a point has coordinates \((x,y)\), its coordinates after reflection over the \(x -\)axis are \((x,-y)\).
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example 2 reflection in the x - or y - axis triangle abc has coordinate…
The image of the triangle will be in the \(I\) and \(IV\) quadrants. \(B(2,-2)\to B'(2,2)\), \(C(4,-5)\to C'(4,5)\)
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answer each question. 1. what is the area of a square with a side measu…
1. The area of the square is \(121\) square inches. 2. The width of the rectangle is \(9\) feet.
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line segment ef is shown on a coordinate grid. the segment is rotated 9…
\(4\)
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19. if it is known that if a triangle has three equal sides, then it is…
The triangle does not have three equal sides.
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module 1 quiz score: 118.99/170 answered: 30/34 question 31 find the sl…
$-2$
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11. what is deductive reasoning in geometry? assuming a statement is tr…
Proving a statement by logical reasoning
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the diameter of a circle is 8 millimeters. what is the circles circumfe…
25.13
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the radius of a circle is 2 feet. what is the circles circumference? ro…
$12.57$
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deductive reasoning lesson (geometry concepts) if i go to school, then …
C. \(p ightarrow r\)
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find m∠1 and m∠2. justify each answer. 12. 13. 14.
12. $m\angle1 = 75^{\circ}$, $m\angle2 = 75^{\circ}$ 13. $m\angle1 = 120^{\circ}$, $m\angle2 = 60^{\circ}$ 14. $m\angle1 = 100^{\circ}$, $m\angle2 = 110^{\circ}$
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what is m? center diameter radius
center
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what is $overline{om}$?
chord
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deductive reasoning lesson (geometry concepts) law of syllogism o if i …
True
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what is $overline{kj}$? center diameter radius
radius
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deductive reasoning lesson (geometry concepts) if i go to school, then …
\( eg p\) is True
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what is o? radius center diameter
center
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what is $overline{mn}$? center diameter radius
diameter
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what is $overline{op}$? center chord diameter
B. chord
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question 3 3. what can you conclude from the law of detachment (plongri…
C. \(q\) is True
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what is w? chord diameter center
center
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what is (overline{bd})?
radius
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what is $overline{ef}$? center radius diameter
diameter
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deductive reasoning lesson (geometry concepts) law of detachment ○ if i…
A. you draw conclusions based on facts.
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what is $overline{qp}$? q p r center chord diameter
chord
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11. write a two - column proof for exercise proof find m∠1 and m∠2. jus…
$m\angle1 = 75^{\circ}$, $m\angle2 = 75^{\circ}$
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what is $overline{po}$? diameter center radius
diameter
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what is $overline{uq}$? center radius diameter
radius
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what is $overline{sq}$?
diameter
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36. which is the correct biconditional of if a triangle is an equilater…
C. A triangle is an equilateral if and only if it has all sides equal
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what is g? center diameter radius
center
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35. what statement is the contrapositive of if a figure is a square, th…
If a figure doesn't have all sides equal, then it's not a square
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what is $overline{ml}$? diameter center radius
diameter
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what is $overline{ps}$? center radius diameter
radius
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what is $overline{kj}$? chord radius center
chord
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what is h? h chord diameter center
center
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what is $overline{kl}$? k l chord radius center
chord
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4. for each diagram, draw a net with the dimensions labelled and use it…
a. Surface area of the rectangular prism is \(376\text{ cm}^2\) b. Surface area of the right - triangular prism is \(87\text{ m}^2\) c. Surface area of the right - triangular pris…
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34. if a quadrilateral is a rectangle, then it has four right angles. w…
If a quadrilateral has four right angles, then it is a rectangle
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what is su? radius chord center
radius
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1. calculating the area of the following 2 - d shapes: a. circle with r…
1. **Calculating the area of 2 - D shapes**: - **a. Circle**: - # Explanation: ## Step1: Recall the area formula for a circle The formula for the area of a circle is \(A = \pi r^{…
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33. what is the contrapositive of if an angle measures less than 90 deg…
If an angle is not acute, then it measures 90 degrees or more
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what is $overline{bc}$? diameter center radius
diameter
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what is b? b diameter radius center
C. center
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what is fg? chord diameter radius
chord
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what is $overline{gh}$? center radius diameter
diameter
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29. what does the biconditional statement of the original statement: \i…
Two angles are complementary if and only if their measures sum to 90 degrees.
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which figure has a greater area? 92 m 47 m 54.2 m 46.3 m
The rectangle has a greater area.
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which figure has a greater area? 92 in 50 in 38.6 in 71.1 in
The parallelogram has a greater area.
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28. what is the converse of the following statement: \if a figure is a …
If a figure has four right angles, then it is a rectangle.
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8. factor the following expressions. (fill in the blank to make a true …
\((2x + 1)(x + 4)\)
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which figure has a greater area? 33 cm 40.9 cm 79.5 cm 51.7 cm
The triangle has a greater area.
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which figure has a greater perimeter? 53 m 53 m 53 m 53 m 53 m 53 m 90 …
The hexagon has a greater perimeter.
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which figure has a greater perimeter? 36.9 yd 36.9 yd 36.9 yd 36.9 yd 3…
The triangle has a greater perimeter.
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which figure has a greater area? 25.6 in 44.2 in 24 in 19.9 in
The triangle has a greater area.
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which figure has a greater perimeter? 44.8 in 44.8 in 44.8 in 44.8 in 4…
The pentagon
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which figure has a greater area? 11 in 14 in 6.5 in 10.4 in
The triangle has a greater area.
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5 fill in the blank 1 point a pilot flying over the norfolk airport is …
$267.9$ mi
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which figure has a greater perimeter?
The hexagon
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18. identify the converse of the conditional statement: if the figure i…
If the figure has four sides, then it is a rectangle
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can you prove these shapes are congruent? yes no
yes
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which figure has a greater perimeter? 5 cm 12 cm 12 cm 9 cm 11 cm 12 cm…
The parallelogram has a greater perimeter.
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find the measure of ∠fly.
\(56^{\circ}\)
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can you prove these shapes are congruent? yes no
yes
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which figure has a greater area? 17.1 ft 20 ft 18 ft 10.6 ft
The parallelogram has a greater area.
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2 0/1 point x = 21.85
$x\approx40.4$
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which figure has a greater perimeter?
The hexagon has a greater perimeter.
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which figure has a greater area? 6 in 10 in 5 in 5 in
The triangle
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4. find the measure of ∠dog. 27x + 4 16x + 4
$4$
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13. if all squares are rectangles, what is the converse statement? if i…
If it is a rectangle, then it is a square
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which figure has a greater area? 19 mm 20 mm 16 mm 11 mm
The triangle has a greater area.
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which figure has a greater perimeter? 14 in 14 in 14 in 18 in 18 in 11 …
The second figure has a greater perimeter.
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3. find the measure of ∠rse. 4. find the measure of ∠dog.
$60^{\circ}$
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se forma un jardín de rosas uniendo un rectángulo con un semicírculo, t…
127.11 ft
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a rectangular cardboard that measures 20 in in length and 15 in in widt…
$211.6875$ square inches
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un campo de entrenamiento se forma uniendo un rectángulo a dos semicírc…
$325.28$ m
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which figure has a greater perimeter?
The triangle has a greater perimeter.
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which figure has a greater perimeter? 10 mm 6 mm 8 mm 4 mm 4 mm 4 mm 4 …
The triangle has a greater perimeter.
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se forma un jardín de rosas uniendo un rectángulo con un semicírculo, t…
99.69 ft
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which figure has a greater area? 4 in 6 in 10 in 9 in 10 in
The triangle has a greater area.
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which figure has a greater perimeter? 4 cm 8 cm 8 cm 4 cm 5 cm 5 cm 5 c…
The hexagon
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una cartulina rectangular que mide 28 in de largo y 20 in de ancho le h…
403
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which figure has a greater area? 3 yd 6 yd 4 yd 8 yd
The rectangle has a greater area.
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m∠c = 36°, ab = 31, bc = 24, find m∠a. m∠a =
$27$
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2. find the missing angle of the polygon.
$215^{\circ}$
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un campo de entrenamiento se forma uniéndo un rectángulo a dos semicírc…
$380.68$ m