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Grade 11 Trigonometry CCSS: HSG-SRT.D.9

$Delta ABC$ ,

$AB = 11.2 \ "units"$ ,

$AC = 3.8 \ "units"$ , and

$m ang A = 79°$ . What is the length of the altitude that intersects vertex

$B ?$ Round the answer to one decimal place.

$3.7 \ "units"$
$5.5 \ "units"$
$5.9 \ "units"$
$11.0 \ "units"$

Grade 11 Trigonometry CCSS: HSG-SRT.D.9

$Delta ABC$ ,

$AB = BC = 28 \ "units"$ and the altitude from vertex

$B$ intersects

$bar{AC}$ at point

$D$ (not labeled). If the area of

$Delta ABC = 308.9 \ "units"^2$ , what is the length of

$bar{BD}$ , rounded to one decimal place?

$1.0 \ "units"$
$12.6 \ "units"$
$25.2 \ "units"$
$50.3 \ "units"$

Grade 11 Triangles

$Delta ABC$ ,

$AB = 10 \ "units"$ ,

$AC = 11 \ "units"$ , and

$BC = 4.5 \ "units"$ . If the intersection of the altitude from

$B$ and

$bar{AC}$ is point

$D$ , what is the length of

$bar{BD}$ , rounded to one decimal place?

$1.1 \ "units"$
$2.0 \ "units"$
$4.1 \ "units"$
$5.9 \ "units"$

Grade 11 Triangles

$Delta ABC$ , the ratio of the sides of the triangle is

$2:6:7$ . If the area of the triangle is

$600 \ "units"^2$ , what is the length of the

$bar{BC}$ , the longest side, rounded to one decimal place?

$15.8 \ "units"$
$36.4 \ "units"$
$72.7 \ "units"$
$88.7 \ "units"$

Grade 11 Trigonometry CCSS: HSG-SRT.D.10

$Delta DEF$ ,

$DE = 5 \ "units"$ ,

$EF = 6 \ "units"$ , and

$m ang D = 22°$ . What is the length of

$bar{DF}$ , rounded to one decimal place? There may be more than one correct answer.

5.0 units
7.2 units
10.3 units
12.0 units

Grade 10 Points, Lines, and Planes

Find the distance between (3,7) and (-1,4).

41 units
109 units
13 units
5 units

Grade 7 Circles CCSS: 7.G.B.4

What is the approximate circumference of the circle that has a diameter of 8?

12.6 units
25.1 units
39.5 units
50.3 units

Grade 11 Trigonometry CCSS: HSG-SRT.D.9

$Delta ABC$ ,

$AB = 32.5 \ "units"$ ,

$m ang A = 27.2°$ , and the area of the triangle is

$281.5 \ "units"^2$ . What is the length of

$bar{AC}$ , rounded to one decimal place?

$37.9 \ "units"$
$18.9 \ "units"$
$17.3 \ "units"$
$9.5 \ "units"$

Grade 11 Trigonometry CCSS: HSG-SRT.D.9

$Delta ABC$ , let the intersection of the altitude from vertex

$C$ and the extension of

$bar{AB}$ be point

$D$ . If

$AB = 18.7 \ "units"$ ,

$BC = 24.1 \ "units"$ , and

$m ang B = 28°$ , what is the length of

$bar{CD}$ , rounded to one decimal place?

$5.7 \ "units"$
$11.3 \ "units"$
$15.2 \ "units"$
$22.6 \ "units"$

Grade 11 Triangles

$Delta ABC$ is an isosceles triangle such that

$AC = AB = 2BC$ . If the area of the triangle is

$16 sqrt(15) \ "units"^2$ , what is the length of

$bar{BC}$ , rounded to one decimal place (if necessary)?

$2.1 \ "units"$
$8 \ "units"$
$16 \ "units"$
$21.7 \ "units"$

Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1b

Line segment

$bar{AB}$ has endpoints

$A(9,4)$ and

$B(-1,8)$ . If

$bar{AB}$ is dilated by a factor of -5, with

$(6,7)$ being the center of dilation, what is the length of the dilated line segment? Round the answer to one decimal place.

53.9 units
16.1 units
10.8 units
2.2 units

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

$Delta ABC$ ,

$cos(C) = 0.78$ and

$AB = 19.3 \ "units"$ . What is the length of

$bar{BC}$ , rounded to two decimal places?

15.21 units
24.01 units
24.74 units
30.84 units

Grade 12 Physics

What is the resultant amplitude of two waves that undergo constructive interference, both having an amplitude of 2 units?

2 units
0 units
4 units
1 units

Grade 6 Coordinate Geometry CCSS: 6.G.A.3

Points H, C, B, D shown on the grid represent the vertices of a rectangle. What is the perimeter of the rectangle?

12 units
16 units
24 units
32 units

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.5

$Delta ABC$ ,

$AC = 5 \ "units"$ and

$AB = 12 \ "units"$ . Find

$AD$ . Round the answer to one decimal place, if necessary.

0.8 units
2.1 units
10.9 units
12 units

Grade 11 Trigonometry CCSS: HSG-SRT.C.6

$Delta ABC$ ,

$m ang B = 33°$ and

$AC = 3 \ "units"$ . What is the length of

$bar{AB}$ , rounded to one decimal place?

1.9 units
3.6 units
4.6 units
5.5 units

Grade 11 Triangles

$Delta ABC$ ,

$AB = 1 \ "unit"$ ,

$BC = 3.5 \ "units"$ , and

$AC = 3 \ "units"$ . What is the length of the altitude from vertex

$B$ , rounded to two decimal places?

$0.40 \ "units"$
$0.48 \ "units"$
$0.79 \ "units"$
$0.93 \ "units"$

Grade 11 Trigonometry CCSS: HSG-SRT.D.10

$Delta ABC$ ,

$AB = BC = 4 \ "units"$ . If

$m ang B = 40°$ , what is the length of

$bar{AC}$ , rounded to one decimal place?

1.9 units
2.7 units
4.4 units
7.5 units

Grade 11 Trigonometry CCSS: HSG-SRT.D.10

$Delta ABC$ ,

$BC = 6 \ "units"$ ,

$AC = 14 \ "units"$ , and

$m ang C = 65°$ . What is the length of

$bar{AB}$ rounded to one decimal place?

12.7 units
14.0 units
15.2 units
17.4 units

Grade 11 Trigonometry CCSS: HSG-SRT.D.10

$Delta ABC$ ,

$AC = 21 \ "units", \ BC = 9.5 \ "units"$ , and

$m ang C = 120°$ . What is the length of

$bar{AB}$ , rounded to one decimal place?

15.2 units
18.2 units
25.1 units
27.0 units

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