Juan is making the shape of a rhombus. The first three angles are 80°, 80°, and 100°. What is the measure of the fourth angle?

Question

Juan is making the shape of a rhombus. The first three angles are 80°, 80°, and 100°. What is the measure of the fourth angle?

A. 60°
B. 100°
C. 180°
D. 240°

Answer 1

Since a rhombus has four equal angles, we can find the measure of the fourth angle by subtracting the sum of the first three angles from 360 (the total degrees in a quadrilateral).

360 - (80 + 80 + 100) = 100

Therefore, the measure of the fourth angle is 100°.

The answer is (B).

Answer 2

What kind of transformation is shown in the picture?

A gray shape with a black dot on the center right is shown vertically on the left. A congruent gray shape with a black dot in the lower center is shown horizontally to the right.
A. rotation
B. reflection
C. translation
D. none of these

Answer 3

C. Translation

Answer 4

Select the word to make the statement true.

Similar polygons are ____ the same size.
A. always
B. sometimes
C. never

Answer 5

Which pair of transformations to the figure shown below would produce an image that is on top of the original(same position, shape, and size)?

A composite figure of a square with an isosceles triangle on top of the square is shown. The base of the triangle is the top side of the square. To the right of the figure is a vertical line with arrows pointing up and down, and under the figure is a horizontal line with arrow pointing to the left and right.
A. a translation to the right and a reflection over the horizontal line of reflection
B. a translation down and a reflection over the horizontal line of reflection
C. a translation to the right and a reflection over the vertical line of reflection
D. a counterclockwise 90° turn and reflection over the horizontal line of reflection
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17 of 22 Answered

Answer 6

B. a translation down and a reflection over the horizontal line of reflection.

Answer 7

Note: Your teacher will grade your responses to questions 19–20 to ensure you receive proper credit for your answers.

Classify the triangle by its angles and its sides. Explain how you knew which classifications to use.

A triangle has sides measuring 8, 11, and 12 and angles measuring 45 degrees, 65 degrees, and 70 degrees.
not drawn to scale

Answer 8

This is a scalene triangle because all three sides have different lengths. It is also an acute triangle because all three angles are less than 90 degrees.

Answer 9

List all of the ways that a square can be correctly classified (or named) and explain why each of the different names is also correct. One point will be given for each classification and explanation.

Juan is making the shape of a rhombus. The first three angles are 80°, 80°, and 100°. What is the measure of the fourth angle?

Since a rhombus has four equal angles, we can find the measure of the fourth angle by subtracting the sum of the first three angles from 360 (the total degrees in a quadrilateral).

What kind of transformation is shown in the picture?

C. Translation

Select the word to make the statement true.

C. Never

Which pair of transformations to the figure shown below would produce an image that is on top of the original(same position, shape, and size)?

B. a translation down and a reflection over the horizontal line of reflection.

Note: Your teacher will grade your responses to questions 19–20 to ensure you receive proper credit for your answers.

This is a scalene triangle because all three sides have different lengths. It is also an acute triangle because all three angles are less than 90 degrees.

List all of the ways that a square can be correctly classified (or named) and explain why each of the different names is also correct. One point will be given for each classification and explanation.