april 20 nti #24 geometry equations review of equations
TRANSCRIPT
April 20 NTI #24
Geometry Equations Review of Equations
Name___________________________________
Date________________
Period____
Solve each equation. You must show your work to get credit.
1) −36 = 6(2 − 8n)
2) −6 + 5(−1 − b) = 19
3) −14 = −(−2x + 2)
4) 51 = 7(−1 + 2v) + 2
5) 7(1 + 5n) + 6(1 + 4n) = 13
6) 73 = −6(k − 7) + 6(k + 5)
April 21 NTI#25
Geometry Square Roots Simplifying Square Roots
Name ___________________________________
Date ________________
Period ____
1) √144
2) √216
3) √98
4) √18
5) 8√27
6) 2√36
7) 3√405
April 22 NTI#26
Geometry The Midpoint Formula Name ___________________________________
Date ________________
Period ____
Find the midpoint of the line segment with the given endpoints.
1) (−4, 4), (5, −1)
2) (2, −1), (−6, 0)
3) (4.9, −1.3), (−5.2, −0.6)
Find the other endpoint of the line segment with the given endpoint and midpoint.
4) Endpoint: (−1, 9), midpoint: (−9, −10)
5) Endpoint: (9, −10), midpoint: (4, 8)
Critical thinking questions:
6) One endpoint of a line segment is (8, −1). The point (5, −2) is one-third of the
way from that endpoint to the other endpoint. Find the other endpoint.
April 23 NTI#27
Geometry The Distance Formula Name ___________________________________
Date ________________
Period ____
Find the distance between each pair of points. Round your answer to the nearest
tenth, if necessary.
1) (−2, 3), (−7, −7)
2) (8, 5), (−1, 3)
3) (3, 8), (9, 10)
4) (−5, 6), (8, −4)
5) (−8, 10), (−6, 7)
Critical thinking question:
6) Name a point that is between 50 and 60 units away from (7, −2) and state the
distance between the two points.
April 24 NTI#28
Geometry Parallel Lines in the Coordinate Plane Name ___________________________________
Date ________________
Period ____
Find the slope of each line.
1) y= -1/3x – 4
2) y = 2x – 2
Write the slope-intercept form of the equation of each line given the slope and y-
intercept.
3) y-intercept = -, Slope = -1
4) y-intercept = , Slope = 0
Find the slope of a line parallel to each given line.
5) y = 2x – 4
6) y = -x – 2
Critical thinking question:
7) Write the equations of two lines that are parallel to y = x/ -
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Geometry
NTI Day 29
Name___________________________________
Date________________ Period____©_ o2]0y2t0K YKWuutXaK CSOoOfmtXw[aXrEeq xLqLLCr.N L QAllFly VrpiIgqhOtasV IrGeQsbeHrOvUeDdQ.
-1-
Learning Target 3.1: I can draw, identify, and describe transformations in the coordinate plane. Ican use properties of rigid motions to determine whether figures are congruent.Describe each transformation and state whether the pre-image and image are congruent.
1)
x
y
K
L
M
K'
L'
M'
2)
x
y
G
H
I
JH'
I'
J'
G'
3)
x
y
W
X
Y
X'
Y'
W'
4)
x
y
E
D
C
E' D'
C'
5)
x
y
T
S
R
T'
S'
R'
6)
x
y
V
U
TV'
U'
T'
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Worksheet by Kuta Software LLC
-2-
7)
x
y
W
X Y
Z
W'
X'Y'
Z'
8)
x
y
B
C
D
E
B'
C'
D'
E'
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Worksheet by Kuta Software LLC
Geometry
NTI Day 30
Name___________________________________
Date________________ Period____©A y2_0a2T0H aKNuuttaC cSjoWfct\wSayrbeI tL`LLCr.r ] `A\l_lu urziOgVhStPsO orPeQsgejrTvyeXdm.
-1-
Learning Target 3.1: I can draw, identify, and describe transformations in the coordinate plane. Ican use properties of rigid motions to determine whether figures are congruent.Find the coordinates of the vertices of each figure after the given transformation. You maygraph the image before listing the points.
1) dilation of 2 about the origin
x
y
J
I
H
G
2) translation: (x, y) → (x - 1, y - 1)
x
y
G
H
I
J
3) reflection across the x-axis
x
y
U
V
W
4) rotation 90° clockwise about the origin
x
y
P
Q R
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Worksheet by Kuta Software LLC
-2-
5) translation: (x, y) → (x - 5, y - 1)
x
y
K
L
M
N
6) rotation 180° about the origin
x
y
U
V
W
7) reflection across the y-axis
x
y
A
B
C
8) dilation of 0.5 about the origin
x
y
R
S
T
U
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Worksheet by Kuta Software LLC
Geometry
NTI Day 31
Name___________________________________
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Learning Target 8.1: I can find the sine, cosine, and tangent of an acute angle. I can usetrigonometric ratios to find side lengths in right triangles.Find the value of each trigonometric ratio to the nearest ten-thousandth.
1) cos 36° 2) cos 53°
3) tan 78° 4) cos 47°
Find the missing side. Round to the nearest tenth.
5) x
1823°
6)
13
x
75°
7)
13
x
70°
8)
x14 62°
9)
19
x55°
10)
x
10
73°
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Geometry
NTI Day 32
Name___________________________________
Date________________ Period____©N j2j0M2N0d lKIuNtuaF BSMo_fmtYwMaprOec yLpLvC[.f w zAolPl^ krHiKgQhitYsz ]rLePsTe`rwvMendZ.
Learning Target 8.2: I can use trigonometric ratios to find angles measures in right triangles.Find each angle measure to the nearest degree.
1) cos V = 0.9998 2) tan X = 0.8098
3) tan C = 0.4663 4) cos B = 0.4540
Find the measure of the indicated angle to the nearest degree.
5)
24
45
?
6) 8
5
?
7)
35
131
?
8)
2245
?
9)
20
40
?
10) 33
22
?
NTI Day 33 Name: Date: Period:
Learning Target 8.1: I can find the sine, cosine, and tangent of an acute angle. I can use trigonometric ratios to find side lengths in right triangles.
Learning Target 8.2: I can use trigonometric ratios to find angles measures in right triangles.
1) A road has a grade of 28.4%. This means that the road rises 28.4 ft over a horizontal distance of 100 ft. What angle does the hill make with a horizontal line? Round to the nearest degree.
2) Pet ramps for loading larger dogs into vehicles usually have slopes between
and
. What is the range of angle
measures that most pet ramps make with a horizontal line? Round to the nearest degree.
Use the side view of a water slide for Exercises 3 and 4.
The ladder, represented by AB , is 17 feet long.
3) What is the measure of angle A, the angle that the ladder
makes with a horizontal line?
4) What is BC, the length of the slide? Round to the nearest tenth of a foot.
Choose the best answer.
5) Janelle sets her treadmill grade to 6%. What is the angle that the treadmill surface makes with a horizontal line? Round to the nearest degree.
A 3° C 12°
B 4° D 31°
6) If cos A = 0.28, which angle in the triangles below is A?
A 1 C 3
B 2 D 4
7) The coordinates of the vertices of ⧍RST are R(3, 3), S(8, 3), and T(8, 6). What is the measure of angle T? Round to the nearest degree.
A 18° C 61°
B 29° D 65°
8) Find the measure of the acute angle formed by the graph of
and the x-axis. Round to the nearest degree.
F 37° H 49°
G 41° J 53°