Geometry - Unit 2: Quadrilaterals & Coordinate Algebra

Quadrilateral ABCD is shown on the grid. Jonah finds the length of the sides of the quadrilateral before finding the perimeter. Which statement is true about the length of the sides of quadrilateral ABCD?

• Side CD has a length of $\sqrt{5}$ units.

• Side BC has a length of $\sqrt{10}$ units.

• Side DA has a length of 5 units.

• Side AB has a length of 6 units.

Tags

CCSS.HSG.GPE.B.7

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?

• Triangle QRS is an equilateral triangle because QR = RS.

• Triangle QRS is an isosceles triangle because QR = QS.

• Triangle QRS is a scalene triangle because all sides have different lengths.

• Triangle QRS is an isosceles triangle because QR = RS.

Tags

CCSS.HSG.GPE.B.7

Point A has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5. To the nearest tenth, what is the y-coordinate for point A?

• 4.5

• 4.6

• 4.7

• 4.8

Tags

CCSS.HSA-REI.B.4B

Point A has an x-coordinate of 7 and lies below the x-axis on a circle with a center at (0, 0) and a radius of 8. To the nearest tenth, what is the y-coordinate for point A?

• -4.0

• -3.9

• -3.8

• -3.7

Tags

CCSS.HSG.GPE.A.1

HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

• (1, -1)

• (1, 1)

• (1, 0)

• (0, 1)

Tags

CCSS.HSG.GPE.B.7

Which statement proves that PQRS is a parallelogram?

• The slopes of SP and RQ are both –2 and SP = RQ = $\sqrt{45}$ .

• The slopes of RS and QP are both 3 and SP = RQ = $\sqrt{45}$ .

• The midpoint of RP is (4, 5 1/2) and the slope of RP is -9/2.

• The midpoint of SQ is (4, 5 1/2) and SQ = 5.

What is the perimeter of kite KLMN?

• $\sqrt{2}+\sqrt{5}\ units$

• $\sqrt{14}\ units$

• $2\sqrt{2}+2\sqrt{5}\ \ units$

• $4\sqrt{5}\ \ units$

Tags

CCSS.HSG.GPE.B.7

What is the perimeter of parallelogram WXYZ?

• $\sqrt{5}+\ \sqrt{17}\ \ units$

• $2\sqrt{5}+\ 2\sqrt{17}\ \ units$

• 16 units

• 22 units

Tags

CCSS.HSG.GPE.B.7

In the diagram, WZ =  $\sqrt{26}$ . What is the perimeter of parallelogram WXYZ?

•  $2\sqrt{26}+\ 2\ units$  

•  $2\sqrt{26}+\ 4\ units$  

•  $2\sqrt{26}+\ 6\ units$  

•  $2\sqrt{26}+\ 8\ units$  

Tags

CCSS.HSG.GPE.B.7

What is the perimeter of square ABCD?

• $\sqrt{37}\ units$

• $4\sqrt{37}\ units$

• 28 units

• 37 units

Tags

CCSS.HSG.GPE.B.7