12 multiple-choice questions, progressively harder.
In ∠DFE\angle DFE∠DFE, which point is the vertex?
Solution
Correct answer: B
The vertex is named by the middle letter. In ∠DFE\angle DFE∠DFE, that letter is FFF.
Which rays form ∠KLM\angle KLM∠KLM?
Correct answer: D
The middle letter LLL is the vertex. Both rays must start at LLL and pass through the outer named points.
What fraction of a full turn is 90∘90^\circ90∘?
Correct answer: A
A full turn is 360∘360^\circ360∘.
90÷360=1490 \div 360 = \frac1490÷360=41
Which angle is obtuse?
Correct answer: C
An obtuse angle is greater than 90∘90^\circ90∘ and less than 180∘180^\circ180∘. Of these measures, only 115∘115^\circ115∘ lies in that interval.
An angle measures 180∘180^\circ180∘. What is its name?
A half turn measures 180∘180^\circ180∘. It forms a straight angle, whose rays point in opposite directions.
A selected opening measures 235∘235^\circ235∘. What is its name?
A reflex opening is greater than 180∘180^\circ180∘ and less than 360∘360^\circ360∘. The measure 235∘235^\circ235∘ satisfies both conditions.
How many degrees are in one full turn?
The degree unit divides a full turn into 360 equal parts, so one complete turn is 360∘360^\circ360∘.
You extend both drawn rays of a 65∘65^\circ65∘ angle along their existing directions. What is the new angle measure?
Extending a ray's drawing does not change its direction. The opening is unchanged, so its measure remains 65∘65^\circ65∘.
Which part of a protractor belongs on the vertex?
Place the center mark on the common endpoint of the rays. Then align the baseline with one ray before reading the scale.
Two nonoverlapping parts fill a selected angle. Their measures are 34∘34^\circ34∘ and 48∘48^\circ48∘. What is the whole measure?
The parts fill the same opening without overlap, so angle addition applies.
34∘+48∘=82∘34^\circ + 48^\circ = 82^\circ34∘+48∘=82∘
A ray bisects a 126∘126^\circ126∘ angle. What is the measure of each part?
A bisector makes two equal angular parts.
126∘÷2=63∘126^\circ \div 2 = 63^\circ126∘÷2=63∘
Given ∠ABC≅∠DEF\angle ABC \cong \angle DEF∠ABC≅∠DEF, which statement must be true?
The given angle congruence means their measures are equal. The named outer points can lie at different distances along their rays, so this does not require equal segment lengths.
Reset this practice set?
This clears every answer you have given and starts the set again from question 1.