Geometry Sol

An angle has a measurement of 83 degrees. This angle is classified as a(n) _______________ angle.

• obtuse

• right

• acute

• straight

Answer explanation

An angle measuring 83 degrees is classified as an acute angle because it is less than 90 degrees.

What would be the degree measure of the angle created by the hands on this clock?

• 45 degrees

• 60 degrees

• 90 degrees

• 15 degrees

Answer explanation

The angle between the hands of a clock at any given time is 90 degrees when the time is exactly 3:00. This is because the hour hand is pointing at 3, and the minute hand is pointing at 12, creating a right angle.

Choose ALL of the statements that are true.

• An obtuse triangle has two obtuse angles.

• A right triangle has one right angle.

• An isosceles triangle has no congruent sides.

• An equilateral triangle has two acute angles and one right angle.

• An acute triangle has three angles that each measure between 0 and 90 degrees.

Answer explanation

The correct statements are that a right triangle has one right angle and an acute triangle has three angles that each measure between 0 and 90 degrees.

Which set of shapes shows a reflection over the dotted line?

• Set A

• Set B

• Set C

• Set D

Answer explanation

Set C is the correct choice as it shows a reflection over the dotted line. The shapes are mirrored across the line in Set C.

Directions: Click on each pair of shapes you want to select.

You must select all correct pairs of shapes.

Identify each pair of shapes that show a rotation of a figure.

• 
• 
• 
• 
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Ms. Cava cut the figure pictured on the dashed line. Which of the following are the shapes of the two pieces she made?

• Triangle and rectangle

• Trapezoid and triangle

• Triangle and parallelogram

• Trapezoid and rhombus

Answer explanation

Ms. Cava cut the figure into a trapezoid and a triangle along the dashed line, making the correct shapes Trapezoid and triangle.

Ms. Cava drew a triangle on the board. One of the angles measured 104° and one of the angles measured 28°. What is the measure of the third angle?

*Remember to think about how many degrees all three angles in a triangle must add up to.

• 180°

• 132°

• 48°

• 58°

Answer explanation

The sum of all three angles in a triangle is always 180°. Therefore, the measure of the third angle is 180° - 104° - 28° = 48°. Hence, the correct answer is 48°.

Ms. Cava held up pictures of four different angles. The first angle measured 130°, the second angle measured 22°, the third angle measured 90°, and the fourth angle measured 91°. Which of the following statements is true?

• Ms. Cava held up two right triangles, and two obtuse angles and one acute angle.

• All the pictures Ms. Cava held up contained an image of a polygon.

• Ms. Cava held up pictures of two obtuse angles, an acute angle, and one right angle.

• Ms. Cava held up pictures of two acute angles, two right angles, and one obtuse angle.

Answer explanation

The correct choice is that Ms. Cava held up pictures of two obtuse angles, an acute angle, and one right angle.

Which word correctly describes triangle LMN?

• Obtuse

• Scalene

• Right

• Acute

Answer explanation

Triangle LMN is described as acute because all angles are less than 90 degrees.

Which of the following is true about an isosceles triangle?

• It is a quadrilateral with no congruent sides.

• It has two sides that are congruent.

• No sides are congruent.

• It is a parallelogram.

Answer explanation

An isosceles triangle has two sides that are congruent, making it a key characteristic of this type of triangle.