Triangles ABD and CBD are shown.
Triangle A C D is divided into two smaller triangles which are triangle A B D and D B C which share a common side B D. Point B lies on segment A C. Segment A B is congruent to segment B C.
If m∠ABD = 100°, what is the relationship between AD and CD?
AD + DC < AC
CD = AD
CD > AD
CD < AD
Question 11(Multiple Choice Worth 1 points)
(02.01 MC)
Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
Rectangle JKLM is drawn on the grid with vertices J at negative 6, 2. K is at negative 3, 2. L is at negative 3, 4. M is at negative 6, 4. Rectangle J prime K prime L prime M prime is drawn with vertices J prime is at 1, 7. K prime is at 4, 7. L prime is at 4, 9. M prime is at 1, 9. Trapezoid STUV is drawn with vertices S is at 3, negative 6. T is at 6, negative 6. U is at 6, negative 3. V is at 2, negative 3.
What will be the location of T′ in the image trapezoid S′T′U′V′?
(10, −1)
(10, 1)
(13, 1)
(13, −1)
Question 12(Multiple Choice Worth 1 points)
(02.04 MC)
In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°, what is the value of x?
35
37
44
71
Question 13(Multiple Choice Worth 1 points)
(02.04, 02.05 LC)
Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angle ADE is 36°.
Triangle ABC with segment DE. Angle ADE measures 36 degrees.
The proof, with a missing reason, proves that the measure of angle ECB is 54°.
Statement Reason
m∠ADE = 36° Given
m∠DAE = 90° Definition of a right angle
m∠AED = 54° Triangle Sum Theorem
segment DE joins the midpoints of segment AB and segment AC Given
segment DE is parallel to segment BC ?
∠ECB ≅ ∠AED Corresponding angles are congruent
m∠ECB = 54° Substitution property
Which theorem can be used to fill in the missing reason?
Concurrency of Medians Theorem
Isosceles Triangle Theorem
Midsegment of a Triangle Theorem
Triangle Inequality Theorem
Question 14(Multiple Choice Worth 1 points)
(02.05 MC)
In triangle ABC shown below, side AB is 10 and side AC is 8:
Triangle ABC with segment joining point D on segment AB and point E on segment AC.
Which statement is needed to prove that segment DE is parallel to segment BC and half its length?
Segment AD is 5, and segment AE is 4.
Segment AD is 4, and segment AE is 8.
Segment AD is 4, and segment AE is 5.
Segment AD is 5, and segment AE is 2.
Question 15(Multiple Choice Worth 1 points)
(02.02 MC)
Rectangle is shown with vertices at negative 5 comma 1, negative 5 comma 3, negative 1 comma 3, and negative 1 comma 1.
What series of transformations would carry the rectangle onto itself?
(x + 0, y − 4), 180° rotation, reflection over the y-axis
(x + 0, y − 4), 180° rotation, reflection over the x‐axis
(x − 4, y + 0), 90° counterclockwise rotation, reflection over the x‐axis
(x − 4, y + 0), 90° counterclockwise rotation, reflection over the y-axis
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FDK401.12