Triangles and Data Handling Challenge

What are the criteria for triangle congruence?

• SSS, AAS, SSA

• AAA, SSS, SAS

• SAS, ASA, SAA

• SSS, SAS, ASA, AAS, HL

How can you determine if two triangles are congruent using SSS?

• Two triangles are congruent if all three pairs of corresponding sides are equal in length.

• Two triangles are congruent if they have the same perimeter.

• Two triangles are congruent if their areas are equal.

• Two triangles are congruent if they have at least one pair of equal angles.

Explain the ASA criterion for triangle congruence.

• If two sides and a non-included angle of one triangle are equal to two sides and a non-included angle of another triangle, the triangles are congruent.

• If three angles of one triangle are equal to three angles of another triangle, the triangles are congruent.

• If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

• If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

What is the significance of the AAS criterion in triangle congruence?

• The AAS criterion is only applicable to right triangles.

• The AAS criterion requires three sides to prove triangle congruence.

• The AAS criterion states that two sides and the included angle are needed for congruence.

• The AAS criterion is significant because it provides a method to prove triangle congruence using two angles and a non-included side.

How do you use the HL theorem to prove triangle congruence?

• Two right triangles are congruent if their angles are equal.

• Two right triangles are congruent if their legs are equal.

• Two right triangles are congruent if one leg and one angle are equal.

• Two right triangles are congruent if their hypotenuses and one leg are equal.

What is the difference between population and sample in data handling?

• Population is the entire group; sample is a subset of that group.

• Sample data is more accurate than population data.

• Population refers to a sample; sample refers to the entire group.

• Population is always smaller than a sample.

Define mean, median, and mode in the context of data handling.

• Mean: total number of values; Median: range of values; Mode: average of the most frequent value.

• Mean: sum of values; Median: highest value; Mode: second most frequent value.

• Mean: total of values; Median: average of values; Mode: least frequent value.

• Mean: average of values; Median: middle value; Mode: most frequent value.

How can you represent data visually? Give two examples.

• Bar charts and pie charts.

• Line graphs and scatter plots

• Infographics and maps

• Histograms and tables

What is the purpose of a frequency table in data handling?

• To determine the median of a data set.

• To create a visual representation of data trends.

• The purpose of a frequency table is to summarize and display the frequency of data values.

• To calculate the mean of data values.

How do you calculate the range of a data set?

• Range = Average value - Minimum value

• Range = Maximum value - Minimum value

• Range = Maximum value / Minimum value

• Range = Maximum value + Minimum value