All Common Core: High School - Geometry Resources
Example Questions
Example Question #601 : High School: Geometry
Prove that if , then lines and are parallel.
Follow the detailed proof below.
Example Question #231 : Congruence
Are lines and parallel?
No
Yes
No
The angles formed by the transversal line intersecting lines and does not form congruent opposite vertical angles. Therefore these two lines are not congruent.
Example Question #22 : Prove Geometric Theorems: Lines And Angles
What are the values of angles and ?
We are able to use the relationship of opposite vertical angles to solve this problem. The given angle and angle are opposite vertical angles and therefore must be congruent. So . is supplementary to both angles and so they must be congruent. and are also opposite vertical angles so they must be congruent in that respect as well. So
Example Question #23 : Prove Geometric Theorems: Lines And Angles
Which of the following describes and ?
These angles are alternate interior angles, therefore they are equal
These angles are corresponding angles, therefore they are equal
These angles are alternate exterior angles, therefore they are equal
These angles are complementary angles, therefore they sum to 90
These angles are alternate exterior angles, therefore they are equal
To answer this question, we must understand the definition of alternate exterior angles. When a transversal line intersects two parallel lines, 4 exterior angles are formed. Alternate exterior angles are angles on the outsides of these two parallel lines and opposite of each other.
Example Question #232 : Congruence
True or False: The following figure shows a line segment.
True
False
False
The figure shows a ray. A ray has a single endpoint and the other end extends infinitely. This is represented by an arrowhead on the end that extends infinitely.
Example Question #25 : Prove Geometric Theorems: Lines And Angles
Solve for ?
and the given angle are supplementary angles. This means that they sum up to 180 degrees.
So
Example Question #607 : High School: Geometry
Prove that if lines and are parallel, then the same side interior angles, and , are congruent.
Follow the detailed proof below.
Example Question #608 : High School: Geometry
Prove that if the following lines and are parallel, then the interior angles on the same side of the transversal are supplementary.
Follow the detailed proof below.
Example Question #609 : High School: Geometry
Prove that angles 1 and 2 are complementary.
Follow the detailed proof below.
Example Question #611 : High School: Geometry
Prove that if the following lines and are parallel, then their alternate interior angles are equal.
Follow the detailed proof below.