Transformations, Angles, Pythagorean Theorem and Composite Figures

Third street and Fourth Street are parallel, and Broadway Avenue cuts across both. 
If the measure of the angle where the library is located is equal to 42^o, and the angle where the school is located measures x^o, which equation is true? 

• x= 42, because vertical angles are congruent
• x = 42, because alternate interior angles are congruent
• x= 42, because alternate exterior angles are congruent
• x = 42, because corresponding angles are congruent

Tags

CCSS.8.G.A.5

In the sketch below, triangle ABC has an exterior angle ACD. 
If the measure of angle 1 is 56^o, the measure of angle 2 is 54^o, what is the measure of angle ACD? 

• 70^o
• 60^o
• 120^o
• 110^o

Tags

CCSS.8.G.A.5

Four students wrote facts on their dry erase boards about angle relationships in triangles using the diagram below. Which student wrote a statement that is not true? 

• Chelsea
• Bobby
• Katie
• Mark 

Tags

CCSS.8.G.A.5

Minha says triangle A with angles measuring 34^o and 57^o is similar to triangle B with angles measuring 57^o and 89^o. Is Minha correct? 

• There is not enough information to determine if the triangles are similar
• Yes, because teach triangle has an angle measuring 57^o
• no, because 34 + 57 ≠ 57 + 89 which means there are not two congruent angles in triangle A to two angles in triangle B
• Yes, because 180 - (34 + 57) = 89 which means two angles in triangle A are congruent to two angles in triangle B

Tags

CCSS.HSG.SRT.A.2

Find the measure of the largest angle in the triangle shown. 

• 45^o
• 72^o
• 63^o
• 60^o

Tags

CCSS.HSG.CO.C.10

Look at the parallel lines but by a transversal. 
Which of the following is not a true statement? 

• Angle 1 and Angle 5 are corresponding angles
• Angle 2 and Angle 7 are alternate interior angles
• Angle 5 and Angle 8 are vertical angles
• Angle 3 and Angle 7 are corresponding angles 

Tags

CCSS.8.G.A.5

in order to find the value of x in the drawing, Jill and Hank wrote the following equations. 
Whose equation is correct and why? 

• Jill because the angles are congruent alternate exterior angles
• Hank because the two angles are alternate interior angles 
• Hank because the two angles would sum to 180^o
• Jill because the two angles would not sum to 180^o

Tags

CCSS.8.G.A.5

Which of the following lengths could NOT be used to create a right triangle? 

• 27, 26, 45
• 21, 28, 34
• 39, 52, 65
• 14, 48, 50

Tags

CCSS.8.G.B.8

In the diagram, RSTU is a rectangle, and the two shaded regions are squares. 
If the length of side SR is 4 m and the length of side ST is 8 m, what is the length of side PQ in meters?

• √80 m
• √24 m
• √68 m
• √144 m

Tags

CCSS.8.G.B.8

Which of the following is true about all right triangles? 

• The sum of the measures of the legs of a right triangle is equal to the measure of the hypotenuse.
• The product of the measures of the legs of a right triangle is equal to the measure of the hypotenuse. 
• The sum of the measures of the legs of a right triangle squared is equal to the length of the square of the hypotenuse. 
• The sum of the squares of each leg of a right triangle is equal to the square of the hypotenuse. 

Tags

CCSS.8.G.B.8