Lesson Worksheet: Deductive Proof for Geometric Properties Mathematics
In this worksheet, we will practice proving certain geometric properties using deductive proof.
Q1:
Two straight lines, and , intersect at point .
Fill in the blank: If the angles and are adjacent angles where , then .
Fill in the blank: If the angles and are adjacent angles where , then .
True or False: We deduce from the two parts above that .
- ATrue
- BFalse
Q2:
, , , , and are rays that start at the point . The measure of , the measure of , and the measure of .
Do the two rays and form a straight line ?
- AYes
- BNo
True or False: The total sum of the measures of the accumulative angles at the point is .
- ATrue
- BFalse
Q3:
True or False: In the given figure, the two straight lines and are parallel.
- ATrue
- BFalse
Q4:
True or False: In the given figure, if , , , and , then .
- ATrue
- BFalse
Q5:
True or False: A straight line that is perpendicular to one of two parallel lines is also perpendicular to the other.
- ATrue
- BFalse
Q6:
In the given figure, find the measure of .
Q7:
In the given figure, if is a rectangle, , and the measure of , find the measure of .
Q8:
In the given figure, use the properties of congruent triangles to find the measure of .
Q9:
In the given figure, and .
Is the triangle congruent with the triangle ?
- AYes
- BNo
Is the diagonal equal to the diagonal ?
- AYes
- BNo
Q10:
In the given figure, if , then which of the following is true?
- A
- B
- C
- D
- E