# 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