Podcast
Questions and Answers
Which of the following is another valid name for the angle ∠CAD?
Which of the following is another valid name for the angle ∠CAD?
- ∠ADC
- ∠DAC (correct)
- ∠CDA
- ∠DCA
An angle measuring 87 degrees would be classified as which of the following?
An angle measuring 87 degrees would be classified as which of the following?
- Right
- Obtuse
- Straight
- Acute (correct)
If ∠KJM = 170°, ∠KJL = 13x - 2, and ∠LJM = 6x + 1, what is the value of x?
If ∠KJM = 170°, ∠KJL = 13x - 2, and ∠LJM = 6x + 1, what is the value of x?
- 10
- 11
- 8
- 9 (correct)
Given the figure, which of the following is congruent to ∠RPQ?
Given the figure, which of the following is congruent to ∠RPQ?
Which of the these angle pairs are vertical angles?
Which of the these angle pairs are vertical angles?
If ∠QPR and ∠SPT are vertical angles with measures of 4x+1 and 7x-23 respectively, what is the value of x?
If ∠QPR and ∠SPT are vertical angles with measures of 4x+1 and 7x-23 respectively, what is the value of x?
What is the relationship between adjacent angles?
What is the relationship between adjacent angles?
Which of the following best describes the relationship between vertical angles?
Which of the following best describes the relationship between vertical angles?
If segment ST is congruent to segment TU, and ST + TU = SU, what is the relationship between ST and SU?
If segment ST is congruent to segment TU, and ST + TU = SU, what is the relationship between ST and SU?
If angle 1 is congruent to angle 2, and angle 2 is congruent to angle 3, what property allows us to conclude that angle 1 is congruent to angle 3?
If angle 1 is congruent to angle 2, and angle 2 is congruent to angle 3, what property allows us to conclude that angle 1 is congruent to angle 3?
What does the notation || signify when used between two lines?
What does the notation || signify when used between two lines?
What does it mean for two lines to be skew?
What does it mean for two lines to be skew?
Which of the following best describes parallel planes?
Which of the following best describes parallel planes?
If line t is a transversal intersecting lines l and m, which of the following angles are considered interior angles?
If line t is a transversal intersecting lines l and m, which of the following angles are considered interior angles?
Given that two segments or rays are parallel, what must be true about the lines that contain them?
Given that two segments or rays are parallel, what must be true about the lines that contain them?
What are the measures of the two angles that add up to 90 degrees?
What are the measures of the two angles that add up to 90 degrees?
If line segment QS bisects angle PQR, and the measure of angle PQR is 58 degrees, what is the measure of angle SQR?
If line segment QS bisects angle PQR, and the measure of angle PQR is 58 degrees, what is the measure of angle SQR?
What is the definition of an angle bisector?
What is the definition of an angle bisector?
EG bisects angle FEH. If the measure of angle FEG is $(5x + 10)$ degrees and the measure of angle GEH is $(3x + 20)$ degrees, what is the measure of angle FEH?
EG bisects angle FEH. If the measure of angle FEG is $(5x + 10)$ degrees and the measure of angle GEH is $(3x + 20)$ degrees, what is the measure of angle FEH?
If l is a perpendicular bisector of PR, PQ = 3y + 2, and QR = y + 8, what is the value of y?
If l is a perpendicular bisector of PR, PQ = 3y + 2, and QR = y + 8, what is the value of y?
Which of the following statements is true about a perpendicular bisector?
Which of the following statements is true about a perpendicular bisector?
If m∠PQS = (2x - 18), and we know that y = 3 (from the previous question), and the triangle is bisected, what would be the value of x?
If m∠PQS = (2x - 18), and we know that y = 3 (from the previous question), and the triangle is bisected, what would be the value of x?
If US is a perpendicular bisector of RT, RS = $3a - 2$, and ST = 13, what is the value of a?
If US is a perpendicular bisector of RT, RS = $3a - 2$, and ST = 13, what is the value of a?
Which of the following is the first step in constructing a perpendicular bisector of a line segment using the first method?
Which of the following is the first step in constructing a perpendicular bisector of a line segment using the first method?
Given that angle 1 and angle 3 are vertical angles, and angle 2 is adjacent to angle 1, which of the following is NOT true?
Given that angle 1 and angle 3 are vertical angles, and angle 2 is adjacent to angle 1, which of the following is NOT true?
In the second method of constructing a perpendicular bisector, what is the next step after drawing two small arcs on the line segment?
In the second method of constructing a perpendicular bisector, what is the next step after drawing two small arcs on the line segment?
What is the first step in constructing a line through point P that is parallel to line l?
What is the first step in constructing a line through point P that is parallel to line l?
If angle A and angle B are supplementary, and $m\angle A = 65^{\circ}$, what is $m\angle B$?
If angle A and angle B are supplementary, and $m\angle A = 65^{\circ}$, what is $m\angle B$?
In the construction of parallel lines, what is the purpose of the third small arc?
In the construction of parallel lines, what is the purpose of the third small arc?
Two complementary angles have measures that differ by 18 degrees, what is the measure of the smaller angle?
Two complementary angles have measures that differ by 18 degrees, what is the measure of the smaller angle?
If $m\angle UST$ is $(10b)^{\circ}$ and US is a perpendicular bisector of RT, what is the value of b?
If $m\angle UST$ is $(10b)^{\circ}$ and US is a perpendicular bisector of RT, what is the value of b?
In a figure with two lines intersected by a transversal, if angle 2 and angle 4 are alternate interior angles, what lines are between them?
In a figure with two lines intersected by a transversal, if angle 2 and angle 4 are alternate interior angles, what lines are between them?
If two lines are intersected by a transversal, and angles 3 and 5 are same-side interior angles, which line is the transversal?
If two lines are intersected by a transversal, and angles 3 and 5 are same-side interior angles, which line is the transversal?
Which of the following describes a pair of alternate exterior angles?
Which of the following describes a pair of alternate exterior angles?
In a figure with lines l, m, and n, where l intersects m and n, what are corresponding angles 1 and 5 in relation to transversal l?
In a figure with lines l, m, and n, where l intersects m and n, what are corresponding angles 1 and 5 in relation to transversal l?
Given three lines, l, m, and n, where each line intersects the other two, which of these is NOT correct?
Given three lines, l, m, and n, where each line intersects the other two, which of these is NOT correct?
If $\angle$2 and $\angle$7 are alternate interior angles formed by a transversal intersecting two lines, what is the location of these angles?
If $\angle$2 and $\angle$7 are alternate interior angles formed by a transversal intersecting two lines, what is the location of these angles?
Which angle pair description correctly describes the relationship of $\angle$2 and $\angle$3 with their transversal when two lines are intersected?
Which angle pair description correctly describes the relationship of $\angle$2 and $\angle$3 with their transversal when two lines are intersected?
According to the Corresponding Angles Postulate, what is true about corresponding angles when two parallel lines are cut by a transversal?
According to the Corresponding Angles Postulate, what is true about corresponding angles when two parallel lines are cut by a transversal?
What does the reflexive property of congruence state?
What does the reflexive property of congruence state?
If two triangles have two pairs of congruent sides and the included angles are also congruent, what postulate can be used to prove the triangles are congruent?
If two triangles have two pairs of congruent sides and the included angles are also congruent, what postulate can be used to prove the triangles are congruent?
In triangle ABC, which angle is the included angle between sides AB and BC?
In triangle ABC, which angle is the included angle between sides AB and BC?
Given that $ΔABC$ and $ΔXYZ$ have $AB ≅ XY$ and $BC ≅ YZ$ what additional information is needed to prove $ΔABC ≅ ΔXYZ$ using SAS?
Given that $ΔABC$ and $ΔXYZ$ have $AB ≅ XY$ and $BC ≅ YZ$ what additional information is needed to prove $ΔABC ≅ ΔXYZ$ using SAS?
If $ΔDEF$ has $DE = 9$, $DF = 15$, and $∠D = 40°$, and $ΔGHI$ has $GH = 9$, $GI = 15$, what is the measure of $∠I$ required for $ΔDEF$ to be congruent to $ΔGHI$ via SAS congruence postulate?
If $ΔDEF$ has $DE = 9$, $DF = 15$, and $∠D = 40°$, and $ΔGHI$ has $GH = 9$, $GI = 15$, what is the measure of $∠I$ required for $ΔDEF$ to be congruent to $ΔGHI$ via SAS congruence postulate?
If two triangles have all three pairs of corresponding sides congruent, what postulate can be used to prove the triangles are congruent?
If two triangles have all three pairs of corresponding sides congruent, what postulate can be used to prove the triangles are congruent?
In a two-column proof, what are the two necessary parts to establish the validity of a geometric statement?
In a two-column proof, what are the two necessary parts to establish the validity of a geometric statement?
Which of the following statements is true regarding congruent triangles based on the content?
Which of the following statements is true regarding congruent triangles based on the content?
Flashcards
Adjacent Angles
Adjacent Angles
Angles in the same plane that share a common vertex and a common side, but have no interior points in common.
Vertical Angles
Vertical Angles
Two non-adjacent angles that are opposite each other, formed from two intersecting lines.
Vertical Angle Congruence
Vertical Angle Congruence
Vertical angles have the same measure.
Supplementary Angles
Supplementary Angles
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Complementary Angles
Complementary Angles
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Right Angle
Right Angle
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Obtuse Angle
Obtuse Angle
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Acute Angle
Acute Angle
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Angle Bisector
Angle Bisector
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Linear Pair
Linear Pair
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Perpendicular Bisector
Perpendicular Bisector
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Perpendicular
Perpendicular
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What is an angle bisector?
What is an angle bisector?
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What does "construct" mean in geometry?
What does "construct" mean in geometry?
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What is a perpendicular bisector?
What is a perpendicular bisector?
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Constructing a perpendicular bisector
Constructing a perpendicular bisector
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Constructing parallel lines
Constructing parallel lines
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What are geometric constructions?
What are geometric constructions?
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What is an intersection?
What is an intersection?
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What are parallel lines?
What are parallel lines?
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What are Skew Lines?
What are Skew Lines?
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What is a Transversal?
What is a Transversal?
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What are Interior Angles?
What are Interior Angles?
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What are Exterior Angles?
What are Exterior Angles?
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What are Parallel Segments or Rays?
What are Parallel Segments or Rays?
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What are Skew Segments or Rays?
What are Skew Segments or Rays?
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Corresponding Angles Postulate
Corresponding Angles Postulate
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Alternate Interior Angles Theorem
Alternate Interior Angles Theorem
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Same-Side Interior Angles Theorem
Same-Side Interior Angles Theorem
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Alternate Exterior Angles Theorem
Alternate Exterior Angles Theorem
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Corresponding Angles Converse
Corresponding Angles Converse
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Alternate Interior Angles Converse
Alternate Interior Angles Converse
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Same-Side Interior Angles Converse
Same-Side Interior Angles Converse
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Alternate Exterior Angles Converse
Alternate Exterior Angles Converse
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Side-Angle-Side (SAS) Congruence Postulate
Side-Angle-Side (SAS) Congruence Postulate
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Reflexive Property of Congruence
Reflexive Property of Congruence
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Included Angle
Included Angle
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Side-Side-Side (SSS) Congruence Postulate
Side-Side-Side (SSS) Congruence Postulate
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How to prove triangles congruent by SAS
How to prove triangles congruent by SAS
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How to prove triangles congruent by SSS
How to prove triangles congruent by SSS
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Congruent Triangles
Congruent Triangles
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Similar Triangles
Similar Triangles
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Study Notes
Geometry Study Notes
- Geometry is the study of shapes, lines, angles, and space and the relationship between them.
- A quadrilateral is a polygon with four sides.
- A proof, or logical argument, can be used to show why a conjecture is true.
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Description
Test your understanding of various angle relationships, including congruence, classification, and properties of angles. This quiz covers topics like vertical angles, adjacent angles, and the relationships between segments and angles in geometry. Get ready to challenge your knowledge with practical examples and problem-solving questions.
