Hello! In order to solve the first problem, you need to know the properties of a rhombus.
Some basic rules that apply to the problem you should know are:
- All sides of a rhombus are equal, however, a rhombus consists of two angles.
- Opposite angles are congruent.
- Adjacent angles are supplementary.
- Diagonals intersect each other at 90 degrees.
- Diagonals bisect the opposite interior angles.
- All angles of a rhombus will always add up to 360 degrees.
To be congruent, line segments must be equal in length. The same rule applies to angles, they must be of equal measure.
This being said,
1. HT is congruent to MA
2. ST is congruent to MS
3. AMH is congruent to ATH
4. If angle MHT is 80 degrees, than angle MAT is 80 degrees as they are vertical (opposite) angles. This means they are always congruent.
5. If line MH = 9, then due to congruency AT must equal 9.
A square is 360 degrees. Every line is equal, every angle is equal.
There are four right angles in a square. A right angle equals 90 degrees.
Since every line has the same length, they are all congruent.
1. True
There are no angles less or more than 90 degrees in a perfect square.
2. False
KD and IN are not perpendicular since they do not intercept. They are parallel.
3. False
Every angle in a perfect square is 90 degrees.
4. True
You can draw out lines to get a better perception of KN and ID. They are congruent due to properties of a square.
5. True