How can you tell that triangles are congruent without knowing the lengths of all sides and the measures of all angles?

the congruency theorems can all be used

Step-by-step explanation:

Of the 5 triangle congruence theorems, the only one that cannot be used is SSS, which requires you know all three sides.

If you don't know all three sides, you must know at least one angle, at least one side, and at least one additional angle or side (see below).

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If the sides you know (in relation to the angle you know) are SSA, then the first side (opposite the angle) must be known to be the longest, or congruence is not assured. This is why SSA is not usually listed among the congruence theorems. (However, HL is a version of this, as the right angle will be opposite the longest side.)

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.