Test Questions with Triangles

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Grade 11 Trigonometry CCSS: HSF-TF.A.3

The side lengths of triangle ABC are: `AB = 1 \ "unit", \ AC = 1 \ "unit", \ BC = sqrt(2) \ "units"`. What is the value of `tan(B) ?`

1. `sqrt(2)`
2. `1/sqrt(2)`
3. `0`
4. `1`

Grade 8 Similar and Congruent Figures

The triangle on the left has acute angle measures of `30deg, 60deg` and the triangle on the right has acute angle measures of `60deg, 30deg`. Which relationship must be true for the triangles?

1. They are congruent.
2. They are similar.
3. They are neither similar nor congruent.

Grade 10 Trigonometry CCSS: HSG-SRT.C.6

`AC=124` and `angC=10deg`. What is the length of `bar(AB)`?

1. 125.9
2. 703.2
3. 21.9
4. 21.5

Grade 10 Trigonometry CCSS: HSG-SRT.C.6

If side `BC = 9` and `ang B = 23 deg`, what is the length of `bar{AC}` ?

1. 3.8
2. 8.3
3. 9.2
4. 3.5

Grade 11 Trigonometry CCSS: HSF-TF.A.3

In triangle ABC, `sin(C) = 1/2`. If `AC = 6 \ "units"`, what is the length of `bar{BC} ?`

1. `2 \ "units"`
2. `2sqrt(3) \ "units"`
3. `12 \ "units"`
4. `4sqrt(3) \ "units"`

Grade 10 Trigonometry CCSS: HSG-SRT.C.6

`AC=6.5` and `angC=25deg`. What is the length of `bar(AB)`?

1. 0.9
2. 3.0
3. 5.9
4. 13.9

Grade 6 Area CCSS: 6.G.A.1

Find the area of the right triangle shown. Side BA is 7.5 and side AC is 4.

1. 5.75
2. 30
3. 11.5
4. 15

Grade 6 Area CCSS: 6.G.A.1

Find the area of the right triangle shown. Side AB has has a measure of 8 and side AC has a measure of 6.

1. 14
2. 24
3. 48
4. 7

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

In `Delta ABC`, `AC = 14 \ "units"` and `BC = 17 \ "units"`. What is the value of `cos(C)`, rounded to two decimal places?

1. 0.56
2. 0.69
3. 0.82
4. 1.21

Grade 5 Triangles CCSS: 5.G.B.4

This triangle has no congruent sides. What kind of a triangle is this?

1. isosceles
2. equilateral
3. scalene

Grade 10 Trigonometry CCSS: HSG-SRT.C.6

`AB=13.9` and `angB=29deg`. What is the length of `bar(AC)`?

1. 0.4
2. 12.2
3. 25.1
4. 7.7

Grade 4 Triangles CCSS: 4.G.A.2

What kind of triangle is shown?

1. right
2. equilateral
3. isosceles
4. obtuse

Grade 7 Similar and Congruent Figures CCSS: 7.G.A.1

Triangle ABC has side lengths with a ratio of 3:4:5. Similar triangle XYZ has a scale factor of 2 compared to triangle ABC. Which of the following could be side lengths of triangle XYZ?

1. 1 cm, 2 cm, 3 cm
2. 5 cm, 6 cm, 7 cm
3. 4 cm, 8 cm, 12 cm
4. 6 cm, 8 cm, 10 cm

Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8

If AC = 8 m and AB = 12 m, what is the length of `bar{CD}`, rounded to one decimal place?

1. 2.7 m
2. 5.3 m
3. 6.0 m
4. 8.0 m

Grade 6 Area CCSS: 6.G.A.1

Find the area of the right triangle shown. Side AC is 8 and side BC is 15.

1. 60
2. 23
3. 11.5
4. 120

Grade 8 Triangles CCSS: 8.G.A.5

Look at the triangle. If angle ACB is 55 degrees and angle BAC is a 85 degrees, how many degrees are in angle ABC?

1. 25 degrees
2. 40 degrees
3. 45 degrees
4. 220 degrees

Grade 5 Triangles CCSS: 5.G.B.4

All of the sides of this triangle are equal. What kind of a triangle is this?

1. scalene
2. isosceles
3. equilateral
4. right triangle

Grade 10 Trigonometry CCSS: HSG-SRT.C.6

If side `AB = 15` and `ang C = 38 deg` What is the length of `AC`?

1. 24.4
2. 19.2
3. 9.2
4. 19.0

Grade 5 Triangles CCSS: 5.G.B.4

What kind of triangle is shown?

1. equilateral
2. isosceles
3. right
4. acute

Grade 5 Coordinate Geometry CCSS: 5.G.A.2

Side AC of the triangle measures 4 units and side BC measures 3 units.

If you plot the triangle on a coordinate plane with point A at the origin (0, 0) and point C at (4, 0), what are the coordinates of point B?

1. (3, 4)
2. (4, 3)
3. (0, 7)
4. (7, 0)