17 Questions
What is the relationship between the angles ∠A and ∠D in parallelogram ABCD?
They are supplementary
If m∠D = 53°, what is the measure of angle ∠C in parallelogram ABCD?
127°
What can be concluded about the relationship between the opposite angles ∠B and ∠D in parallelogram ABCD?
They are congruent
If m∠A = 110°, what is the measure of angle ∠C in parallelogram ABCD?
110°
What is true about the relationship between ∠A and ∠B in a parallelogram?
They are equal
Which property of the proportion does 𝑎+𝑏 𝑏 = represent?
Transitive Property
What is the correct value of 𝒙 that makes the statement 𝒙 = 27 true?
81
If ⃡𝐴𝐵 is parallel to ⃡𝑌𝑍 and intersects ̅̅̅̅ 𝑋𝑌 and ̅̅̅̅ 𝑋𝑍 at A and B, which ratio equals 𝐴𝑌 by the Triangle Proportionality Theorem?
𝐴𝐵 / 𝐵𝑍
Which of the following ratios does not show a property of the proportion?
rac{a}{c} imes rac{b}{d} = 18
If parallel lines cut congruent segments on one transversal, what property holds true for the corresponding angles?
Corresponding Angles Postulate
What does the Triangle Angle Bisector Theorem state about a line bisecting an angle of a triangle?
It divides the opposite sides proportionally.
What postulate is used to show that angles ∠𝐵𝑌𝐶 and ∠𝑍𝑌𝐷 are congruent?
Vertical Angle Theorem
In the context of the text, why is it mentioned that Y is the midpoint of side ̅𝐵𝑍?
Because Y divides side ̅𝐶𝐷 into two equal segments.
Why does the text mention that ̅𝐷𝑍 ≅ ̅𝐵𝐶?
Due to CPCTC.
Why is it mentioned that ̅𝑋𝑌 ̅̅̅̅ ∥ ̅̅̅̅ in the context of the text?
Because of the definition of midline of a trapezoid.
What must be true about the length of ̅X𝑌 in relation to the other sides of triangle ABZ?
$2XY = AZ$
What does the statement 'ZD = BC' signify in the context provided?
$∆BDC$ is an isosceles triangle.
Explore the proof for the theorem stating that if a quadrilateral has consecutive angles that are supplementary, then it is a parallelogram. Learn how to apply this theorem to find angles in a parallelogram.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
